A 74.2 kg teenager slides down a frictionless slide that has an angle of inclination of 38˚. What is the magnitude of the acceleration of the teenager down the slide?

Answers

Answer 1

Answer:

Explanation:

This is one-dimensional motion on an incline which makes it so much more funner :/

The equation for this is

w*sinθ - f = ma which is just a fancy version of Newton's second law that says that the sum of the forces acting on an object are equal to that object's mass times its acceleration.

w is the weight of the teen which is also the normal force, [tex]F_n[/tex]. Therefore,

[tex]w=F_n=mg[/tex] where m is mass and g is gravity:

[tex]w=F_n=(74.2)(9.8)[/tex] and we need 2 sig figs for this since there are 2 in 9.8:

w = 730N

Since there is no friction in this problem, the value for f, frictional force, is 0, making our job a bit shorter. Filling in the main equation:

730sin38 - 0 = 74.2a

Since the left side is subtraction and we will eventually have to divide, and the rules for subtraction/addition are different from those for multiplication/division, we will have to subtract first, get the correct number of sig figs for that difference, and then divide, following the rules for division.

730sin38 will have 2 sig figs which is 450. Now

450 - 0 = 74.2a and

450 = 74.2a and divide to 2 sig figs:

a = 6.1 m/s/s


Related Questions

You slide out of a car seat and as you touch the metal door a spark jumps between your hand and the door. Describe how the spark formed

Answers

Answer: Your body sliding against the car seat created friction, making it created potential energy. The friction is a form of electricity, and the car doors metal is a conductor of electricity. That potential energy was turned into kinetic once the metal attracted the electricity, thus making a spark.

Hope this helps ^_^

A 20.0 Ohm and 60.0 Ohm resistor
are connected in series to a 9.00 V
battery. What is their equivalent
resistance?
(Unit = Ohms)

Answers

Answer:

for resistors in series, add the resistances to get their equivalence. The answer is

80.0 Ohms

A 3kg object moving at 4 m/s encounters a 20 N resistive force over a duration of 0.20 seconds. The impulse experienced by this object is _____

Answers

Answer:

the impulse experienced by this object is 4 Ns

Explanation:

Given;

mass of the object, m = 3 kg

velocity of the object, v = 4 m/s

resistive force, F = 20 N

duration of impact, t = 0.2 s

The impulse experienced by this object is calculated as follows;

J = F x t

J = 20 x 0.2

J = 4 Ns

Therefore, the impulse experienced by this object is 4 Ns

Help!!!
Where can the hoses be attached in order to provide water to a fire engine? (There may be more than one correct answer.)


house faucet

hydrant

generator

pumper truck

Answers

Answer:

Explanation:

Hydrant

What is only found in plant cells??
Cell membrane , nucleus, cell wall , vacuole.

which one !!!

Answers

C. Cell wall

Hope that helps.

providing trademark protection

Answers

Answer:

what are you asking exactly?

The 5 Things You Must Do to Protect Your Trademark
1. Do Your Homework. The USPTO won't register your trademark if there is a “likelihood of confusion" with another registered trademark. ...
2. Prepare and File a Trademark Application. ...
3. Respond Promptly to Office Actions or Oppositions. ...
4. Monitor Your Trademark. ...
5. Maintain Your Trademark.

Determine the resistance of 100m of copper cable whose cross-sectional area is 1.5mm2​

Answers

20*% is that one trust meeeeee

Question- Gases the oceans exchange with the atmosphere include..

a. oxygen
b. carbon dioxide
c. water vapor
d. all of the above

Answers

I am pretty sure it’s B (carbon dioxide)

can someone please solve this

Answers

Answer:

The gravity is pulling the diver downwards but the rotation of the body means gravity cant pull him down as quickly

Explanation:

When a bouncy ball is dropped from a second floor window, at what point is the kinetic energy highest?

A. Just after the ball dropped
B. Just before the ball hits the ground for the first time
C. After the ball has bounced several time
D. after the ball bounces away into the bushes, never to be found again ​

Answers

Answer:

Explanation:

Because the total energy available to the ball doesn't change whatsoever during its entire trip from the window to the ground,

TE = KE + PE which says that the total energy available to a system is equal to the kinetic energy of the system plus the potential energy, and that this value will not ever change (because energy cannot be created or destroyed. Sound familiar?) If the ball is being held still before it is dropped from some height off the ground, it is here that the total energy can be determined, and that total energy at this point is all potential, since the ball is not moving while someone is holding it and getting ready to drop it. The SECOND it starts to fall, the potential energy begins to be converted to kinetic. As the potential energy is losing value, the kinetic is gaining it at the same rate (again, energy doesn't just disappear; it has to go somewhere. Here, it goes from potential to kinetic a little at a time). When the ball finally hits the ground, or an INSTANT BEFORE it hits the ground, the potential energy is 0 because the height of something on the ground has a height of 0. At this instant, right before the ball hits the ground, is where the KE is the greatest. All the energy at that point has been converted from potential to kinetic.

Long story short, choice B is the one you want.

In a symbiotic relationship,


a. one organism benefits while its host gets nothing in return.
b. bacteria takes food from your stomach, but does nothing for you.
c. both organisms involved benefit or are neutrally affected.
d. your body produces vitamins and then uses them for nutrition

Answers

In a symbiotic relationship, both organisms involved benefit or are neutrally affected. Symbiosis is a close and long-term interaction between two different species.

The term "symbiosis" encompasses mutualism, commensalism, and parasitism. In mutualism, both organisms benefit from the interaction, such as in the case of bees and flowers where bees obtain nectar and pollen while also helping flowers to pollinate.

In commensalism, one organism benefits while the other is neither helped nor harmed, such as remora fish that attach to sharks for transportation and feeding on scraps left by the shark. In parasitism, one organism benefits while the other is harmed, such as ticks that feed on blood from a host animal.

To know more about symbiosis, visit:

https://brainly.com/question/31105472

#SPJ1

What type of specialized cell in the eye is used for detecting low levels of light?

Answers

Answer:

There are about six to seven million cones in a human eye and are most concentrated towards the macula. Cones are less sensitive to light than the rod cells in the retina (which support vision at low light levels), but allow the perception of color.

Answer:

Rods

Explanation:

There are about six to seven million cones in a human eye and are most concentrated towards the macula. Cones are less sensitive to light than the rod cells in the retina (which support vision at low light levels), but allow the perception of color.

Se tiene un objeto que oscila con MAS. Si la amplitud del movimiento es de 15 cm y el periodo es de 2 seg, encontrar las magnitudes de la velocidad y la aceleración cuando: a) x= 0 cm b) x=7,5 cm Por favor, ayúdenme es para hoy :c

Answers

Answer:

a)   v = 0,  a = - 15 pi²

b) v = - 40.8 cm / s,  a = -74.2 cm / s

Explanation:

the simple harmonic motion is described by the expression

        x = A cos (wt + Ф)

in that case they indicate the amplitude of the movement

        A = 15 cm

angular velocity and period are related

        w = 2π / T

         w = 2π/ 2

         w = π rad / s

speed is defined by

         v = dx / dt

          v = -A w sin (wt + Ф)

acceleration is defined by

         a = dv / dt

         a = - A w² cos (wt + Ф)

In order to evaluate this expression we must know the value of the phase constant (Ф) that meets the initial conditions, the most common thing is that the system is released, v = 0 for y = 0 s, let's use the speed equation

          v = -A w sin (0+ Ф)

           

for this expression to be zero, the sine must be zero, so

         Ф= 0

now let's write the equations for our case

         v = - 15 π sin (π t)

         a = - 15 π² cos (π t)

a) for x = 0

          v = 0

          a = - 15 pi²

b) for x = 7.5 cm

Let's find out how long it takes to get to this position

          x = 15 cos (π t)

          7.5 / 15 = cos π t

          pi t = cos⁻¹ 0.5

          t =  1.047/π

don't forget that the angles are in radians

          t = 0.333 s

now let's look for speed and acceleration

         v = - 15 π sin (π 0.333)

         v = - 40.8 cm / s

         a = - 15 π² cos (π 0.333)

         a = -74.2 cm / s

If a person meets an accident, which of the following factors will have more effect on his Kinetic energy and hence on the fatality of the accident?
A.velocity of the vehicle
B.Mass of the vehicle

Answers

It’s B bc you have to see how long the factors are

Answer:

b

Explanation:

define one ampere current electricity​

Answers

One ampere can be defined as the unit of electric current and that is equal to the flow of one coulomb of charges per second. Hence, we can say that, one ampere current is the movement of 6.24×1018electrons in a second.

How do you calculate the total resistance in a series circuit with more than one resistor

Answers

Answer:

You add up all the individual resistances of the resistors in the series circuit to get the total resistance of the circuit

Explanation:

A series circuit is a circuit that has most of its components connected end-to-end

following what was stated above, in a series circuit, the resistors are connected end to end. This means that the current that flows out from one of the resistors flows into the next one. As a result of this, the current through all the resistors is the same.

To get the total equivalent resistance in a series circuit, you add up all the individual resistances of the resistors in the series circuit. This should give you the total resistance in the circuit.

i.e

Total resistance = R1 + R2 + R3 ....

According to Hooke's law, the force exerted by a compressed or stretched spring is proportional to...

Answers

Answer:

Hooke's law can be written as:

F = -k*Δx

Where k is a constant that depends on the spring, called the spring constant.

And Δx = (x - x₀) is the displacement of the spring with respect to the rest position x₀

And a proportional equation is something like:

y = c*x

Where c is a constant of proportionality.

In the case of Hooke's law, the constant is K, then the force is proportional to the displacement of the spring with respect to the rest position Δx.

Which type of comb would be best to use in the winter, a plastic comb or a glass comb? Explain using the Triboelectric series.

Answers

Answer:

I'm not sure how to use it using the Series, but it would be the plastic comb

Explanation:

In the winter, it's likely to be cold and the glass would absorb that energy, also making it cold. in order to be able to hold it, you would need something warm, thus making the plastic one the better option as it is less likely to absorb the cold energy

ASAP!!!
What is the purpose of a heavy stream appliance?


provides breathable air from attached air tanks

focuses the fluid flow into a heavier stream

moves or removes smoke and gases from buildings and passageways

removes citizens from burning or hazardous structures

Answers

Answer:

B is the answer.

Explanation:

I am doing the same Assignment.

What is density?

A- How much space an object takes
up
B- The amount of matter in a certain
amount of space
C- How much water an object
displaces
D- How much an object is affected by
gravity

Answers

Answer:

B- The amount of matter in a certain

amount of space

Explanation:

Density is the amount of matter an object has in a certain space. To find density, divide the mass of an object by the volume of an object.

Answer:

C- How much water it displaces

Explanation:

based on the magnetic field lines shown what is the orientation of the mystery magnet ?

Answers

I think it’s cannot be determined

any tips for an ollie ?

Answers

Answer:

skateboard mid-ollie is being actively steered. This is exactly what makes doing an ollie so hard. It's not enough to get the skateboard up into the air - you also have to steer it while it's in the air. You should keep your hands up in the hair a bit to help with balance, scrunch your legs a bit down to have a proper and effective jump. wear nee pads incase you dont fix the landing. Practice jumping on ur skate board tho, if u jump at it without knowing much youll just get hurt.

Explanation:

¿Qué pasa en nuestro cerebro cuando tomamos decisiones? Ejemplo: Estoy tocando una plancha caliente, y saco la mano rápidamente, ¿que paso en mi cerebro?

Answers

Answer:

Debido a la información de las neuronas sensoriales al cerebro.

Explicación:

Cuando toco una plancha caliente, extiendo la mano rápidamente porque las neuronas sensoriales presentes en la piel de nuestro cuerpo envían señales al sistema nervioso central, es decir, al cerebro. El cerebro toma decisiones de acuerdo con los estímulos y envía instrucciones a través de las neuronas motoras a los músculos para retirar las manos del hierro caliente a fin de evitar efectos nocivos en la piel debido al calor. El lóbulo frontal es una parte del cerebro que controla la personalidad, la toma de decisiones y el razonamiento.

How much work is done when 300 N of force is used to lift the dog 1.5 m?

Answers

Answer:

450N

Explanation:

Work done=Force*distance

When a substance is poured from one container to another, its shape changes but its volume does not, what state of matter is the substance in?
A. Plasma
B. Liquid
C. Gas
D. Solid

Answers

Answer: When a liquid substance is poured into a vessel, it takes the shape of the vessel, and, as long as the substance stays in the liquid state, it will remain inside the vessel. Furthermore, when a liquid is poured from one vessel to another, it retains its volume (as long as there is no vaporization or change in temperature) but not its shape.

Explanation: A solid has a definite shape and volume. A liquid has a definite volume, but takes the shape of its container. A gas lacks either a defined shape or volume. Plasma is similar to a gas in that its particles are very far apart, but a gas is electrically neutral and plasma has a charge.

Answer:

B

Explanation:

Liquid

Can someone please help me with history.

Answers

Answer:

Yes my name is Axelrod I can help you

please help me out i'm so depressed and such a failure
how does the brightness of the lamp (L) vary if we dispalce the cursor (C) of the rheostat
a)Towards A
b) Towards B

Answers

Answer:

ok so first ur not a failure and its okay don't be so hard on ur self

<3

A string is being driven by a motor with a frequency of 10 Hz. If the speed of the waves travelling down the string is equal to 24 m/s, what is the wavelength?

Answers

Answer:

λ = 2.4 m

Explanation:

The speed of a wave is defined as the product of the frequency and the wavelength of that wave:

[tex]v = f\lambda[/tex]

where,

v = speed of wave = 24 m/s

f = frequency of wave = 10 Hz

λ = wavelength of the wave = ?

Therefore,

[tex]24\ m/s = (10\ Hz)\lambda\\\\\lambda = \frac{24\ m/s}{10\ Hz}[/tex]

λ = 2.4 m

Using the information provided in the table, which statement BEST describes the object's motion?

Answers

Answer:

the velocity is decreasing therefore acceleration is negative

A 50,000 kg train is rolling on its own down the track at 5 m/s. You grab the rope trailing behind it, and exert a stopping force of 2000 N. How long does it take to stop the train?

Answers

Answer:

t = 125 seconds

Explanation:

Given that,

The mass of a train, m = 50,000 kg

Initial speed, u = 5 m/s

Stopping force, F = 2000 N

We know that,

Force, F = ma

Where

a is acceleration

[tex]F=\dfrac{m(v-u)}{t}\\\\t=\dfrac{m(v-u)}{F}\\\\t=\dfrac{50000(0-5)}{-2000}\\\\t=125\ s[/tex]

So, it will take 125 seconds to stop the car.

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