a motorcyclist moves at a constant speed down one hill and up another hill along the smooth curved surface. when the motorcyclist reaches the lowest point of the curve its velocity and acceleration directions are: (a) (b) (c) (d) 5. a car moves along the curved track. what is the apparent weight of the driver when the car reaches the lowest point of

Answers

Answer 1

At the lowest point of the curve, the motorcyclist's velocity would be tangential to the curve.

Motorcyclists' velocity would be parallel to the surface of the road. The acceleration of the motorcyclist would be directed opposite the direction of the velocity, meaning it would be directed uphill.

At the lowest point of the curve, the direction of the net force on the driver, Fn, would be directed towards the center of the curve. This is because the velocity of the driver is tangential to the curve, and the centripetal force is directed toward the center of the curve to provide the necessary acceleration to keep the driver on the curve.

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Related Questions

building a dam to produce hydro-electric power and create water storage is one way to take advantage of a common renewable resource. this produces much less pollution than a coal burning plant. water being let out of the dam also produces a lot of kinetic (movement) energy. however, building dams are not a perfect solution. what is the most likely problem related to dams?

Answers

Using the water that is both held in dams and flowing in rivers, hydropower, also known as hydroenergy, is a renewable energy source.

What kind of electricity does a dam generate when it transforms the force of the water into electrical energy?

In order to generate electricity, hydroelectric power uses the force of moving water, making it a renewable energy source. Long before you switch on a light at home or at work, the hydroelectric process has already begun.

How do dams generate electricity, or more specifically, how do they transform the energy of moving water into AC power?

Water must flow in order to generate power. Kinetic energy is energy that moves. The energy transforms into mechanical (machine) energy as flowing water turns blades in a turbine.

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what was the value of the scale factor a when the dark energy density became equal to the matter density? show your work, please.

Answers

The parameter of the dark energy equation of state is viewed as an arbitrary constant with a value falling between the range $w in [-1.5, -0.5]$, the upper and lower bounds of which are determined by recent measurements. We get scale factor approximations with better than 1% accuracy.

What's density in science?

Mass of a solid substance per unit volume. The equation for density is d = M/V, where d represents density, M is mass, and V is volume. Density is often measured in grammes per cubic centimetre. Its mass per unit of volume is a measure of a substance's density. Although the sign can also represent the Latin letter D, it is most frequently used to represent density. Mass divided by volume is the formula for density in mathematics: displaystyle rho = frac mV. where V is the volume, is the density, and m is the mass.

How does density work?

How much mass there is in a specific volume or area is determined by its density. The formula for determining a substance's density is to divide its mass by its volume.

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one cannot peer all the way back and directly observe the big bang because the universe's density was so low. true false

Answers

True. The Big Bang Theory is the current scientific explanation for the origin and evolution of the universe. According to this theory, the universe was initially in a state of extremely high density and temperature, and it has been expanding and cooling since its inception.

One reason we cannot directly observe the Big Bang is that the universe's density was so low at that time that there were no solid particles, such as atoms or molecules, that could have formed into stars or galaxies. Instead, the universe was filled with a hot, ionized plasma that was too diffuse to be observed by telescopes. Another reason is that the expansion of the universe has caused the light and other electromagnetic radiation that was emitted during the Big Bang to become redshifted, or stretched out in wavelength, over time. This means that the light from the earliest moments of the universe has shifted into the microwave and radio frequency ranges, which are not visible to the human eye. Therefore, while we can infer some details about the conditions of the early universe based on observations of the cosmic microwave background radiation and the large-scale structure of the universe, we cannot directly observe the Big Bang itself.

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example 10.11 discusses the conversion of spring potential energy to kinetic energy. how much energy is initially stored in the spring?
A spring-loaded to gun is used to launch a 10 plastic ball. The spring, which has a spring constant of 10 N/m, is compressed by 10 cm as the ball is pushed into the barrel. When the trigger is pulled, the spring is released and shoot the ball back out horizontally.

Answers

Answer:

Below

Explanation:

ESE = 1/2 k d^2

        = 1/2 *  10 N/m * .1 m = .5 J

calculate the height of the coulomb barrier for the head-on collision of two deuterons. take the effective radius of a deuteron to be 2.1 fm.

Answers

The nuclear force between two charged particles is attractive, but Coulomb repulsion prevents two charged particles from getting close enough to interact. (K= 170 keV.)

How to fix it?

We consider the value of the initial kinetic energy K that each deuteron must possess in order for them to come to rest when their surfaces meet to be the height of the Coulomb barrier.

if r is a deuteron's radius, then by the law of conservation of energy, we get,

2K=1/4πϵo. e²/2r

putting values, we get

K= 1/4πϵo. e²/4r=9x10^9x1.6x10^-19/4x2.1x10^-15=2.75x10^-14 J = 170 keV.

How can the height of a potential barrier be determined?

J is the potential energy. Divide it by the electron charge, or 1.6 x 1019C, to convert it to eV. Consequently, the 360keV potential barrier height for a head-on collision of two deuterons. In this work,

What is the calculation for height?

5 feet, 6 inches, or 66 inches, is the height of a human. 2.54 centimeters make up one inch (cm). Therefore, to convert your height from inches to centimeters, just multiply it by 2.54. The metric equivalent of a person who is 5 feet, 6 inches tall in this instance is 167.64 cm (66 x 2.54).

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FILL IN THE BLANKS
12) When two objects interact through the gravitational force between them, the more massive one has a lower __acceleration_________ than the less massive object.

Answers

Answer: Acceleration

Explanation:

When two objects interact through the gravitational force between them, the more massive one has a lower acceleration than the less massive object.

an automobile traveling at 80.0 km/h has tires of 75.0 cm diameter. what is the angular speed of the tires about their axles? if the car is brought to a stop uniformly in 300.0 complete turns of the tires (without skidding), what is the magnitude of the angular acceleration of the wheels? how far does the car move while braking

Answers

Initial velocity=- 80km/h, the diameter of the tyre= 75cm, and revolution= 300. initial angular velocity wi= v/r (80) (5/18)/75/200= 59.26 rad/sec. so, angular acceleration is 0.93 rad/sec2.

What was the tire's angular acceleration?

We must first determine the tires' angular acceleration. Let's transform the provided translational velocity to rotational velocity to do this. Thus, the tires' angular acceleration is 2.42 rad/s2 rad/s2.

How can you figure out angular velocity?

The angular velocity (w), a vector quantity in a uniform circular motion, is determined by dividing the angular displacement (), also a vector quantity, by the change in time (t). Speed is equal to |w|R and is calculated by dividing the arc length traveled (S) by the change in time (t).

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what is the system's potential energy when its kinetic energy is equal to 34e ? view available hint(s)for part a what is the system's potential energy when its kinetic energy is equal to ? ka2 ka22 ka24 ka28

Answers

The energy that results from an object's location in relation to other things is known as potential energy. Potential energy is frequently connected to restorative forces like the force of gravity or a spring.

What happens when kinetic energy and potential energy are equal?

The mechanical energy of an item is the total of its potential and kinetic energies. A falling object loses potential energy while gaining kinetic energy. The difference between the increase in kinetic energy and the reduction in potential energy is exact.

Potential energy and kinetic energy vary primarily in that one is the energy of what can be and the other is the energy of what is. In other words, stored energy is ready to be released but potential energy is immobile.

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what is the formula to find the volume of a sphere

Answers

Volume of a sphere= 4/3πr3

A piece of stone is projected vertically upwards with a speed of 25ms^-1. Determine it's speed at it's point reached​

Answers

Assuming a piece of stone is projected vertically upwards with a speed of 25ms^-1, its speed at its highest point reached is equal to zero (0) m/s.

What is projectile motion?

In Science, projectile motion can be defined as a form of motion which is experienced by a physical object (body) that is projected near the surface of planet Earth, while moving along a parabolic path, and under the influence of a gravitational force (gravity) only.

Generally speaking, when this stone is thrown straight up or projected vertically upwards at a certain speed, it begins to slow down as a result of the effect of downward gravitational acceleration.

Consequently, the stone reaches a maximum height (highest point) where it cannot go higher anymore and then starts to fall down (descend) due to gravity.

In this context, we can reasonably infer and logically deduce that the speed of any physical object would be equal to zero (0) meter per seconds when it reaches a maximum height (highest point).

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Complete Question:

A piece of stone is projected vertically upwards with a speed of 25 ms^-1. Determine its speed at its highest point reached. (g = 10 ms-2).

A car advertisement states that a certain car can accelerate from rest to 30 m/s in 5 seconds. Find the car’s average acceleration. (Prefered if using KWEPA method!)

Answers

The car’s average acceleration is 6 meter/second^2.

What is acceleration?

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Given that: the car can accelerate from rest to 30 m/s in 5 seconds.

Hence, average acceleration of the car = change in speed/time interval

= ( final speed - initial speed)/time interval

= ( 30 m/s - 0 m/s) / 5 second

= (30/5) meter/second^2

= 6 meter/second^2.

Hence, the  average acceleration of the car  is  6 meter/second^2.

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Newton's third law states that any action will have a(n) _______ and ______ reaction.

Answers

Newton's third law states that any action will have a(n) equal and opposite reaction.

what is the relathion shop between perriod and frequency

Answers

Frequency is inversely proportional to the time period. That is, f = 1/T.

What is frequency?

This refers to the number of waves that passes a fixed place in a given amount of time.  Frequency is measured in hertz, this is equal to one event per second.

What is period, T ?

This refers to the time needed for one complete cycle of vibration to pass a given point. A period is measured in seconds.

Note:  AS the frequency of a wave increases, the period of the wave decreases. Frequency and Period are in reciprocal relationships.

Mathematically :

f = 1/T

T =Total time,Period

f =  Frequency

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calculate the angle at which a-wideslit produces its first minimum for 410-nmviolet light. (b) where is the first minimum for700-nm red light?

Answers

The first minimum of an a- wideslit is produced by 410-nm ultraviolet light at an angle of 11.8, and by 700-nm red light at an angle of 20.5.

Why would someone utilize violet light?

The lens and cornea are impervious to light with UV wavelengths less than 360 nm. As a result, violet light, which ranges in wavelength from 360 nanometers to 400 nanometers, is the best light for controlling myopia from both an efficacy and safety perspective.

d

sin

θ

=

n

λ

2

(

sin

θ

)

=

(

1

)

(

410

×

10

9

)

sin

θ

=

410

×

10

9

2

=

2.05

×

10

7

θ

=

sin

1

(

2.05

×

10

7

)

=

1.17

×

10

5

Thus the angle is

1.17

×

10

5

.

(b.)

Given data

The width of slit is

d

=

2.00

m

.

The number of minimum is

n

=

1.

The wavelength is, \lambda =700 nm

Why does violet light exist?

The wavelength of violet light, which ranges from 380 to 450 nanometers, is at the higher end of the visible spectrum (in experiments, people have so far seen to 310 nm). In contrast to X-rays and gamma rays, ultraviolet light has a wavelength that is shorter than violet but greater than both of them. In general, light violet is used to compose violet items.

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Mr. Seifert needs to push a cardboard box down the hallway for Ms. Wang. The box has a mass of 40 kg and he is pushing it with an acceleration of 2 m/s/s. Because the cardboard does not slide easily, there is a friction force of 25 Newtons acting on the box to the LEFT. How much force is Mr. Seifert applying to the box to move it forward to the RIGHT?

Answers

Answer:

105N

Explanation:

force = mass x acceleration

force without the 25N = 40 x 2

= 80N

On top of this, he has to counteract the 25N so the actual force is 80N + 25N which is 105N

what is the change in internal energy of a system that takes in 4.23 106 j of heat, and does 4.50 105 j of work while dissipating 9.07 106 j of heat?

Answers

The change in internal energy of a system is - 5290×10⁴J.

What do you mean by internal energy?

Innate strength A system's or a body's (with clearly defined boundaries) U is made up of the sum of the kinetic and potential energies resulting from molecular motion as well as the electric and vibrational motion of the atoms within molecules.

Heat transfer into the system Q₁ = 4.23×10⁶J

Heat transfer out of the system Q₂ = 9.07× 10⁶J

Work done W =  4.50×10⁵J

The heat transfer into the system less the heat transfer out of the system is now known as the net heat transfer.

Q = Q₁ - Q₂

Q = 4.23×10⁶ -  9.07× 10⁶

Q = -4.84× 10⁶J

The first law of thermodynamics provides the following formula for the change in internal energy:

ΔU = Q - W

ΔU = -4.84× 10⁶ -  4.50×10⁵

ΔU = - 5290×10⁴J.

A negative sign indicates a decrease in internal energy.

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Earth has a very strong gravitational force that can pull the objects to fall to the Earth's surface. How do satellites overcome this problem and stay in its orbit?​

Answers

A satellite maintains its orbit by balancing two factors: its velocity (the speed it takes to travel in a straight line) and the gravitational pull that Earth has on it. A satellite orbiting closer to the Earth requires more velocity to resist the stronger gravitational pull.

9) During a game of bowling, which of the following describe the ball's motion?(SELECT ALL ANSWERS THAT APPLY)

A) The ball is accelerated while it is pushed by the student's hand due to an
unbalanced force.
B) The ball slows down as it rolls because friction exerts an unbalanced force.
C) The ball is accelerated while it is held in the student's hand due to balanced
Forces.
D) The ball does not change its motion as it rolls because of the balanced force
provided by friction.
E) The ball does not change its motion while it is held in the student's hand due to
balanced forces.

Answers

Answer:

The answer seems to be,

A) The ball is accelerated while it is pushed by the student's hand due to an

A) The ball is accelerated while it is pushed by the student's hand due to anunbalanced force.

(The answer might be wrong. )

The diagram below represents a wave.
What is the speed of the wave if its wavelength is 3.0 m?

Answers

The speed of the wave is determined as 18 m/s.

option D is the correct answer.

What is the speed of the wave?

The speed of the wave is the rate of change of wave's displacement with time.

The speed of the wave is calculated by applying the formula relating speed, wavelength and frequency of the wave as shown below.

v = fλ

where;

v is the speed of the wavef is the frequency of the waveλ is the wavelength of the wave

The frequency of the wave is calculated as follows;

f = 1 / T

where;

T is the period of the wave

The period of a wave is the time taken for the wave to complete one cycle.

In the picture given, 3 cycles of the wave = 0.5 s

1 cycle of the wave = ?

= 0.5 s / 3

= 0.16667 s

f = 1 / T

f = 1 / 0.16667

f = 6 Hz

The speed of the wave is calculated as follows;

v = fλ

v = 6 Hz  x  3 m

v = 18 m/s

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a typical tendon has a strength of 16000 pounds per square inch (psi). let's assume the achilles tendon is roughly rectangular in cross section with dimension of .4 inches x .2 inches. you can use this to calculate the force at which the achilles tendon will start to fail. at what force might the achilles tendon start to fail (in pounds, lb)?

Answers

An average tendon can withstand 16000 per square inch of force (psi). The Achilles tendon may begin to fail at a force of F = 1280 pounds.

How does science define force?

That meaning of the term "force" is obvious. At this point, it is quite acceptable to refer to a force as a push or possibly a pull. An item does not "have energy in it" or "encompass energy." A force is applied to one thing by another. A factor is anything that affects non-living things as well.

Inertia or a force?

Inertia is what holds the cosmos together. Literally. That could prevent matter from having the electric forces necessary to produce its system layout. Vibrating particles generate heat and rotational motion, which operate to counteract inertia.

Briefing:

Area of tendon 0.4×0.2

=0.08 square inch.

0.08 square inch tendon =16000×0.08

F =1280 pound.

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Maddy tripped and accidentally threw her phone off the hollywood cliff at 5m/s. It landed 20 away from the base of the cliff. how high is the cliff then?

Answers

The height of the cliff, given that her phone landed 20 m away when she accidentally threw her phone with a velocity of 5 m/s is 78.4 m

How do I determine the height of the cliff?

To determine the height of the cliff, we must first obtain the time taken for her phone to reach the ground. This is obtained as follow:

Horizontal velocity (u) = 5 m/sHorizontal distance (s) = 20 mTime taken (t) =?

s = ut

20 = 5 × t

Divide both sides by 5

t = 20 / 5

t = 4 s

Finally, we shall determine the height of the cliff. Details below:

Time taken (t) = 4 sAcceleration due to gravity (g) = 9.8 m/s²Height (h) = ?

h = ½gt²

h = ½ × 9.8 × 4²

h = 4.9 × 16

h = 78.4 m

Thus, the height of the cliff is 78.4 m

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1. a 1.4 x 103 kg car is westbound at a velocity of 37.0 km/h when it collides with a 2.0 x 103 kg truck northbound at a velocity of 35 km/h. if these two vehicles lock together upon collision, what is the initial velocity of the vehicles after collision? (7.2 m/s 37o w of n) 2. a 6.2 kg object heading north at 3.0 m/s collides with an 8.0 kg object heading west at 3.5 m/s. if these two masses stick together upon collision, what is their velocity after collision? (2.4 m/s 56o w of n) 3. a 4.0 x 104 n truck moving west at a velocity of 8.0 m/s collides with a 3.0x104 n truck heading south at a velocity of 5.0 m/s. if these two vehicles lock together upon impact, what is their velocity?(5.0 m/s 25o s of w)

Answers

The velocity of vehicles after the collision is 15.82m/sec if car mass is 1.4 × 10³kg and truck mass is 2×10³kg

We know that we need to conserve the momentum of watermelon in a certain direction. Also,we know that initial momentum of watermelon is zero,it means that according to law of conservation of momentum final momentum should be zero.

We know that momentum =mass × velocity

So,initial momentum of car is =1.4 × 10³kg × 37km/hr

Similarly,,initial momentum of truck=2×10³kg × 35km/hr

Now,it is given that both vehicles lock together,so total mass of both vehicles is =1.4 × 10³kg +  2×10³kg=3.4 ×10³kg

Assume final velocity of both vehicle is v

So,following the law of conservation,we get

=>1.4 × 10³kg × 37 + 2×10³kg × 35 = 3.4 ×10³ ×v

=>51.8 ×10³ + 2×10³=3.4×10³ ×v

=>53.8 ×10³ kg-m/sec = 3.4×10³ ×v

=>v = 53.8/3.4

=>v=15.82m/sec

Hence,final velocity of both vehicle after collision is 15.82m/sec.

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3. A force of 70N is applied to a 10kg box with a friction force of 30N opposing it's motion. The box starts
from rest and reaches a speed of 5m/s. Determine the distance over which the force acts on the box.

Answers

The distance over which the force acts on the box, given that 70 N is applied to the 10 Kg box is 3.125 m

How do I determine the distance ?

We'll begin by obtaining the acceleration of the box. Details below:

Force applied = 70 NForce of friction = 30 NNet force = Force applied - Force of friction = 70 - 30 = 40 N Mass of box = 10 KgAcceleration (a) =?

Net force = mass × acceleration

40 = 10 × acceleration

Divide both sides by 10

Acceleration = 40 / 10

Acceleration = 4 m/s²

Finally, we shall determine the distance. Details below

Initial velocity (u) = 0 m/sFinal velocity (v) = 5 m/s Acceleration(a) = 4 m/s²Distance (s) =?

v² = u² + 2as

5² = 0² + (2 × 4 × s)

25 = 0 + 8s

25 = 8s

Divide both side by 8

s = 25 / 8

s = 3.125 m

Thus, we can conclude that the distance covered is 3.125 m

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A motorcycle initially travelling at 15.0 m/s comes to rest in 5.0 s. What is its deceleration and how
far does it travel during deceleration?

Answers

The deceleration of the motorcycle is -3.0 m/s^2 and it travels 75.0 m during deceleration.

To find the deceleration of the motorcycle, we can use the formula:

deceleration = (final velocity - initial velocity) / time

Plugging in the given values, we get:

deceleration = (0 m/s - 15.0 m/s) / 5.0 s = -3.0 m/s^2

To find the distance the motorcycle travels during deceleration, we can use the formula:

distance = (initial velocity * time) + (1/2 * deceleration * time^2)

Plugging in the given values, we get:

distance = (15.0 m/s * 5.0 s) + (1/2 * -3.0 m/s^2 * 5.0 s^2) = 75.0 m

So the deceleration of the motorcycle is -3.0 m/s^2 and it travels 75.0 m during deceleration.

9. a soap bubble is 100 nm thick and illuminated by white light incident perpendicular to its surface. what wavelength and color of visible light is most constructively reflected, assuming the same index of refraction as water?

Answers

When a soap bubble 100 nm thick and illuminated by white light incident perpendicular to its surface, then wavelength, λ is calculated =  5.32 *10^-7 m.

What is index of refraction?

The ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c' is called as index of refraction. One of the consequence of this difference in speed is that when light goes from one medium to another at an angle, then the propagation vector in the new medium has a different angle with respect to normal.

Given, t= 100nm= 100 * 10 ^-9  n= 1.33

ΔФ1 = λ/4

ΔФ2 = 2√2 t λ n/2 λ

=2 t n

=2 * 100 * 10 ^-9 * 1.33

= 2.66 *10^-7

2.66 *10^-7= λ/2

λ=  5.32 *10^-7 m.

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a small ferryboat is 4.70 m wide and 6.50 m long. when a loaded truck pulls onto it, the boat sinks an additional 3.70 cm into the river. what is the weight of the truck?

Answers

According to the given statement 11303.5 kg  is the weight of the truck.

What does physics' Archimedes principle entail?

The buoyant force, which applies to a person at rest in a fluid, is proportional to the weight of the displaced water and pushes higher. The amount of fluid displaced when the body is fully immersed is equal to the body's volume.

Briefing:

The Archimedean principle, which asserts that the hydrostatic push is equal to the weight of the desalinated liquid, is used to solve this task.

B = ρ g V

It is in balance with the push when the truck is at full weight, according to Newton's law of equilibrium.

          Σ F = 0

          B-W = 0

          B = W

body weight

          W = M g

the volume is

          V = l to h

          (l to h) = M g

          M = l a h

we calculate

          M = F = 1000 . 10. (4.70 x 6.50 x 0.037)  = 11303.5 N

          M = 11303.5 kg

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I NEED HELP ASAP PLSS

Answers

Answer:

C.) The United States would become less dependent on energies that emit greenhouse gases.

Explanation:

If nuclear energy increased, it would occupy a larger piece of the pie chart.  The prompt states that the usage of non-fossil fuel-based forms of energy would remain constant.  This condition means that nuclear energy would decrease the percentage of fossil fuel-based energy used.  Energy production through the use of fossil fuels necessarily produces greenhouse gases such as CO2.  An increase in nuclear energy would mean a corresponding decrease in dependence on greenhouse gas-producing fossil fuels.

what force must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2500 kg car (a big car) resting on the slave cylinder? the master cylinder has a 1.93 cm diameter, while the slave's is 24.9 cm. 1900 n 150 n 15 n 4.1e 06 n 74 n

Answers

The force that must be exerted on the master cylinder of the hydraulic lift to support the weight of car is  147.2 N .

The Pascal's Law states that the relation between the pressure , force and area is given as :

Pressure = Force/Area ;

given that the diameter of the master cylinder is = 1.93 cm ;

so radius of master cylinder = 1.93/2 = 0.965 cm = 0.00965 m ;

the diameter of slave cylinder is = 24.9 cm ;

the radius of the slave cylinder = 24.9/2 = 12.45 m = 0.1245 m ;

Area of slave cylinder (A₁)= π(0.1245)² = 0.0486 m²

Area of the master cylinder (A₂) =  π(0.00965)² = 0.000292 m² ;

given mass of the car = 2500 Kg ,

the force exerted will be : F = m*a

F₁ = 2500*9.8 = 24500 N ;

F₁/A₁ = F₂/A₂

So , 24500/0.0486 = F₂/0.000292

F₂ = (24500/0.0486)×0.000292

F₂ = 147.2 N

Therefore , the force exerted on the master cylinder is 147.2 N  .

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7. What is the weight of a ball with a mass of 0.77 kg? (hint: how fast is gravity?)

Answers

Answer:

While on the earth, any object with a mass of 0.77 kg weighs 7.546 newtons (1.698 pounds).

On the moon, the same 0.77-kg object would weigh 1.232 newtons (0.277 pound)

Explanation:

true or false: we can determine if a star is moving toward or away from earth by measuring its brightness.

Answers

We can determine if a star is moving toward or away from earth by measuring its brightness.

The correct answer would be:

[tex]\fbox{False}[/tex]

Other Questions
metlock corporation has 163,000 shares of $20 par value common stock outstanding when it announces a 4-for- 1 stock split. before the split, the stock had a marketprice of $140 per share. after the split, how many shares of stock will be outstanding? what will be the approximate market price per share? number of shares shares market price according to john l. o'sullivan's democratic review, what was the key to the history of nations and the rise and fall of empires? write an equation for the line for each graph QuestionA rabbit moves a distance of 85 meters in 13 seconds.What is the rabbits average speed?7.26 m/s0.15 m/s6.54 m/s6.54 m/s graph 1. comparison of european flycatcher hatching and fledging dates and caterpillar biomass based on the data, scientists claim that the reproductive behavior of european flycatchers is influenced by the availability of energy sources. which of the following statements best justifies this claim? Why is linguistic knowledge important for intercultural communication competence? fox autos is known for its affordable and reliable brand of consumer vehicles. because its shareholders expect to see an improved rate of growth in the coming years, fox's executives have decided to diversify the company's range of products so that at least 35 percent of the firm's revenue is generated by new business units. however, the company's resources, capabilities, and competencies are limited to producing other forms of motorized vehicles, such as motorcycles and all-terrain vehicles (atvs). which type of corporate diversification strategy should fox pursue? Which statement best describes the role of nature in King Lear?A. Nature is viewed as something to be tamed and conquered by many different characters. B. Nature functions as a stark contrast against the insular court and royal lifestyle of King Lear. C. Nature plays a critical role in exposing the characters to different environments throughout the play. D. Nature in many forms is the constant backdrop of the play and characters interact with it in different ways. E. Nature works in both the background and foreground of the play to highlight how characters view the role of fate. an orthodox jewish pregnant woman comes to the labor and birth suite with her birth attendant. her partner is also present in the room. the woman is about to give birth when the nurse observes the partner move to the head of the bed outside the view of the birth. the nurse interprets this action as: 5. The roof drawn below is made up of six pieces of lumber and is symmetrical. There is 1foot of overhang on both sides.Use the dimensions given in the diagram, determine how much total lumber would beneeded to create this roof (i.e. how many feet of wood does it take to build this roof?).It is a good idea to label all of the vertices before beginning (6 marks). A biologist is studying a plant blight. At the start of their research, the blight covers a circular area with a radius of 5 kilometers. When they re-examine the blight two years later, the area has grown to a circular area with a radius of5.2kilometers. How rapidly did the radius change over the interval? _____Year/km The hands-off view of the classical school rests on which of the following two simple propositions about markets? a. Demand creates its own supply and markets are basically competitive. b. Industrial policy is inevitable and all prices are flexible. c. Market failure occurs and prices are rigid. d. Wages are sticky downward and market failure is inevitable. e. Markets are basically competitive and prices are flexible. The residents of Ireland earn $200 million of income from abroad. Residents of other countries earn $300 million in Ireland. Therefore, Ireland's:a. net factor payments from abroad are positive, and its GDP is larger than its GNPb. net factor payments from abroad are positive, and its GNP is larger than its GDPc. net factor payments from abroad are negative, and its GDP is larger than its GNPd. net factor payments from abroad are negative, and its GNP is larger than its GDP In QRS , R is a right angle. If QS = 20 and mQ = 49 , what is the length of QR ? HELP IM TAKING MY GEOMETRY FINAL AND I DONT KNOW ANYTHING (7x6)2[{453(72-15+6)}+4) Youre using last-click attribution, but would like to see how first-click attribution would value channels and campaigns. Which report can you use to find this insight?Conversion pathsFunnel explorationSegment overlapModel comparison Witch rate is equivalent to 15 milesper hours ch 2 kb. the predetermined manufacturing overhead rate is calculated by group of answer choices multiplying the predetermined moh rate by the actually allocation base factor multiplying the actual allocation base factor by the estimated annual moh dividing the annual estimated moh by the annual estimated moh allocation base multiplying the predetermined moh rate by the actual allocation base The list shows opposing political views on some issues. Which of the following best replaces the numbers in the table above?a 1- Democratic-Republican Party 2-Federalist Partyb 1-Federalist party 2-Democratic-Republicans Partyc 1- Federalists Party 2- Democratic Partyd 1- Whig Party 2- Democratic Party A video store manager observed that the number of DVDs sold seem to vary inversely as the price per DVD. If the store sells 710 DVDs per week when the price per DVD is $18.90, how many does he expect to sell if he lowers the price to $11.40.