A rubber-wheeled 50 kg cart rolls down a 35 degree concrete incline. Coefficient of rolling friction between rubber and concrete is = 0.02. (a) What is the cart's acceleration if rolling friction is neglected? (b) What is the cart's acceleration if rolling friction is included?

Answers

Answer 1

Answer:

(a) 5.62 m/s²

(b) 5.46 m/s²

Explanation:

The given values are:

mass,

m = 50 kg

angle

= 35°

(a)

If friction neglected,

⇒ [tex]F_x=mgSin \theta=ma[/tex]

⇒ [tex]a_x=gSin \theta[/tex]

       [tex]=9.8 \ Sin35^{\circ}[/tex]

       [tex]=5.62 \ m/s^2[/tex]

(b)

If friction present,

⇒ [tex]F_x=mgCos \theta[/tex]

⇒ [tex]F_x=mgSin \theta-\mu_r mgCos \theta[/tex]

⇒ [tex]a=gSin \theta-\mu_rgCos \theta[/tex]

      [tex]=9.8 \ Sin35^{\circ}-0.02\times 9.8 \ Cos30^{\circ}[/tex]

      [tex]=5.46 \ m/s^2[/tex]


Related Questions

Amanda studies a waveform. She labels parts of the waveform using variables (P,Q,R, and S), as shown in the image.
Which label part represents the wavelength

Answers

Answer:

Q

Explanation:

To know which symbol defines the wavelength, we must know the definition of wavelength.

Wavelength can be defined as the distance between two successive crests (i.e the highest part) or troughs (the lowest part) of a wave.

Considering the diagram given above, Q shows the distance between two successive crests (i.e the highest part) of the wave. Therefore, Q is the wavelength of the wave given in the diagram above.

A 3.0\, \text {kg}3.0kg3, point, 0, start text, k, g, end text box is at rest on a table. The static friction coefficient \mu_sμ s ​ mu, start subscript, s, end subscript between the box and table is 0.400.400, point, 40, and the kinetic friction coefficient \mu_kμ k ​ mu, start subscript, k, end subscript is 0.100.100, point, 10. Then, a 10\,\text N10N10, start text, N, end text horizontal force is applied to the box. What is the best estimate of the magnitude of the box’s acceleration?

Answers

Answer:

its 0 m/s^2 on khan

Explanation:

usually how i think of it if its below 15 N then its 0

Answer:

5.3m/s^2

Explanation:

:)

A man has a mass of 66 kg on Earth. What is his weight in Newtons?

Answers

Answer:

answer is 66 kilograms-force = 647.2389 newtons

Explanation:

Answer:

[tex]\boxed {\boxed {\sf 646.8 \ Newtons }}[/tex]

Explanation:

Weight in Newtons can be found by multiplying the mass times the acceleration of gravity.

[tex]W=m*g[/tex]

The mass of the man is 66 kilograms on Earth.

Earth has an acceleration of gravity that is 9.8 meters per square second.

[tex]m= 66 \ kg \\g=9.8 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]W=66 \ kg *9.8 \ m/s^2[/tex]

Multiply.  

[tex]W=646.8 \ kg*m/s^2[/tex]

1 kg * m/s² is equal to 1 Newton, therefore our answer of 646.8 kg *m/s² is also equal to 646.8 Newtons, or N.

[tex]W=646.8 \ N[/tex]

The man's weight in Newtons in 646.8 Newtons.

A ship's propeller of diameter 3 m makes 10.6 revolutions in 30s. What is the angular velocity of the propeller?

Answers

Answer:

The angular velocity of the propeller is 2.22 rad/s.

Explanation:

The angular velocity (ω) of the propeller is:  

[tex] \omega = \frac{\Delta \theta}{\Delta t} [/tex]                              

Where:

θ: is the angular displacement = 10.6 revolutions

t: is the time = 30 s

[tex] \omega = \frac{\Delta \theta}{\Delta t} = \frac{10.6 rev*\frac{2\pi rad}{1 rev}}{30 s} = 2.22 rad/s [/tex]

Therefore, the angular velocity of the propeller is 2.22 rad/s.

I hope it helps you!

The angular velocity will be "2.22 rad/s".

Given:

Angular displacement,

[tex]\Theta = 10.6[/tex]

Diameter,

3 m

Time,

[tex]\Delta t = 30 \ s[/tex]

Now,

The angular velocity will be:

→ [tex]\omega = \frac{\Delta \Theta}{\Delta t}[/tex]

By putting the values, we get

       [tex]= \frac{10.6\times \frac{2 \pi rad}{1 \ rev} }{30 \ s}[/tex]

       [tex]= 2.22 \ rad/s[/tex]

Thus the response above is right.

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a puck moves 2.35 m/s in a -22 degree direction a hockey stick pushes it for .215 s changing its velocity to 6.42 m/s in a 50 degree direction. What is delta x?

Answers

Answer:

0.678m

Explanation:

Find: Δx

Δx = ½ (v + v₀) t

Δx = ½ (4.127 m/s + 2.179 m/s) (0.215 s)

Δx = 0.678 m

HELP PLEASE

A load is a device that changes electrical energy into other forms of energy. Which load converts electrical energy into thermal energy by passing an electric current through a high-resistance material?



A.
Hand-powered generator

B.
Toaster

C.
Fan

D.
Electrical drill

Answers

Answer:

A toaster because you plug it up for electric energy and heat to toast it

Which Sl units are combined to describe energy?
A. Kilograms and m/s2
B. Kilograms and joules
C. Kilograms and m/s2
D. Kilograms and meters

Answers

Answer:

kilograms and m²/s²

Explanation:

The SI units combined to describe energy is kilograms and m²/s² ;

  Energy can be derived from;

Potential energy  = mgh

   Units               = kg x m/s² x m

                          = kg m²/s²

Even if we use kinetic energy, we still get kg m²/s²

if a truck hits a bug, they exert the exact same force on each other. That force is strong enough to squish the bug, but not strong enough to damage the truck. The force makes the bug accelerate very rapidly, but the truck keeps moving at a constant velocity. Do you agree? Why or why not? HELP XD

Answers

The force of the bug on the windshield is equal to the force of the windshield on the bug, only in the opposite direction.

1.

How do the individual forces compare when the rider experiences a normal

sensation of weight? What is the acceleration value when this occurs?

Answers

Answer:

The rider experiences weight or does not experience weight depends upon the direction of the elevator in which it moves and its acceleration.  

Explanation:

Consider the mass of a rider as m. So its actual weight is mg and it acts vertically downward. The apparent weight of the rider is depended on the acceleration of the elevator and its direction of movement.

When elevator moves with a constant speed i.e. its acceleration is zero, the apparent weight of the rider is equal to the actual weight. Thus the rider's sensation is normal.

If the elevator is moving upward with an acceleration a, then the apparent weight of the rider will be more and the rider will experience an increase in weight or the sensation is heavy.

Or when the elevator moves downward with an acceleration a, the apparent weight of the rider is less. And the rider sensation is lighter.

The acceleration will become "0 (zero)". A further solution to the question is provided below.

Individual pressures neutralize or negate each other out if somehow the riding experiences stable weight, implying that perhaps the rider's cumulative acceleration will be zero,

Now,

→ [tex]mg= W+F[/tex]

or,

→ [tex]g= a+g[/tex]

then,

→ [tex]a =0[/tex]

This means that the rider isn't moving. Thus the response above is appropriate.

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Which TWO statements about the substances in the experiment are true?

A. Quartz is harder than chalk.
B. Water has a higher surface tension than salty water.
C. Soapy water has a higher surface tension than plain water.
D. Graphite is harder than quartz.

Answers

Answer:

answer A and B

A. Quartz is harder than chalk.

B. Water has a higher surface tension than salty water.

Explanation:

did the test !

The two statements about the substances in the experiment are true are

Quartz is harder than chalk and the Water has a higher surface tension than salty water. Therefore the correct options are option A and option B.

What is the matter?

Anything which has mass and occupies spaces is known as matter, mainly there are four states of matter solid liquid gases, and plasma.

These different states of matter have different characteristics according to which they vary their volume and shape.

The hardness of quartz is more than that of chalk.

The surface tension is because of the cohesive force of the molecules among them, surface tension can be defined as force per unit length and represented in the unit N/s.

The cohesive force of attraction is more in water as compared to that of salty water therefore the surface tension of the water is more than that of salty water.

The two statements about the substances in the experiment are true are

Quartz is harder than chalk and the Water has a higher surface tension than salty water. Therefore the correct options are option A and option B.

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what inflammatory molecule aids with muscle building and is released when muscles experience microscopic damage?

Answers

Answer:

Cytokines

Explanation:

Cytokines are known as inflammatory molecules which are also proteinous and aid signaling of certain processes and conditions in the body.

They are also normally involved in aiding muscle building and are released when muscles experience microscopic damage which may lead to the muscles being sore.

A man travels 25 kilometers in 15 minutes. A police officer stops him and
writes a ticket for speeding. The posted speed limit is 80 kilometers per
hour. Did the man exceed the posted speed limit?

Answers

Answer:

yes

Explanation:

cuz 15x2=30 30x2=60 60=1 hour, and the limited is 80 km per hour

15=25

15x4=60 25x4=100

so yes

he was going 100km per hour

HELP ME PLEASE
I don’t know what the answer is.

Answers

Answer:

Hey buddy, here is your answer. Hope it helps you.

Explanation:

Solids.Sound travels fastest through solids. This is because molecules in a solid are packed against each other. When a vibration begins, the molecules of a solid immediately collide and the compression wave travels rapidly.Sound moves slowest through a gas. That’s because the molecules in a gas are spaced very far apart. In order for sound to travel through air, the floating molecules of matter must vibrate and collide to form compression waves. Because the molecules of matter in a gas are spaced far apart, sound moves slowest through a gas.

Sound travels faster in liquids than in gases because molecules are packed more closely together. This means that when the water molecules begin to vibrate, they quickly begin to collide with each other forming a rapidly moving compression wave.

does anyone know how to do this? the scenario is ""dominique reads that race cars have wide tires because the increased area of contact between the tire and the road results in a stronger force of friction. she hypothesizes that the force of kinetic friction on an object is directly proportional to the area of the object in contact with the surface and wants to test this hypothesis. Dominique and Blake take a long wooden plank and cut the plank into pieces that have different lengths but the same width and height. The students also have access to other equipment commonly available in a school physics lab.

Answers

Answer:

Stupid

Explanation:

Because there is never a answer when we are trying to find one

Which is the balanced equation for Sg + O2 → SO2?
OS: + 016 — 8S02
O S₂ + O₂S₃ + O₂
O S8+ O₂S₂O₂
O Sg + 802 8S02

Answers

The balanced equation for S(g) + O₂ → SO₂ is as follows: S₈ + 8O₂ → 8SO₂ (option C).

What is a balanced equation?

A balanced equation is a chemical equation in which the number of atoms of each element on both sides of the equation are the same.

This means that the number of the atoms involved in the reactants side is equal to the number of atoms in the products side.

Balancing chemical equations involves the addition of stoichiometric coefficients to the reactants and products.

According to this question, sulfur reacts with oxygen gas to produce sulfur dioxide as follows:

S₈ + O₂ → SO₂

The balanced chemical equation is as follows:

S₈ + 8O₂ → 8SO₂

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Device A has a current of 0.4 A and a resistance of 3 Ω. Device B has a current of 0.6 A and a resistance of 3Ω. Which device would be more energy efficient?

Answers

Your answer would be Device A.

Answer:

Device A because it would use more voltage :D

Explanation:

which theory is a famous for quantum physics ​

Answers

the quantum mechanics theory

A rocket, initially at rest on the ground, accelerates straight upward from rest with constant (net) acceleration 53.9 m/s2 . The acceleration period lasts for time 6.00 s until the fuel is exhausted. After that, the rocket is in free fall.

Find the maximum height ymax reached by the rocket. Ignore air resistance and assume a constant free-fall acceleration equal to 9.80 m/s2 .

Answers

Answer:

maximum height reach by rockect =970.2metre

Explanation:

Which situation has the most potential energy
А.
a 100 kg student diving from 2 meters off the water
OOO
B.
a 100 kg student diving from 3 meters off the water
C
a 200 kg student diving from 2 meters off the water
D.
a 200 kg student diving from 3 meters off the water

Answers

Answer:

B

Explanation: you are staying longr to jump 3 meters than one meter

Sharon pours salt into a glass of water. The salt dissolves. The substance in the glass is a_________
study island

Answers

Answer:

Issa Mixture.

A salt is a compound. ... Na exists in sodium compounds and Cl as Cl2 or chlorinated compounds. A common example would be table salt where both exist( Sodium Chloride). Sodium Chloride solution consisting of NaCl and water is a mixture. An example would be sea water which consists of several salts. Ur welcome.

Explanation: and

The salt is the solute; water is the solvent. Mixed together they become a solution.


30.) We observe motion by using a *blank* of *blank*. ​

Answers

Answer:

Point of Reference

Explanation:

What is the speed of a car that
accelerates at a rate of 10 m/s2 for a
total of 25 seconds?

Answers

Answer:

250 m/s

Explanation:

The speed of the car can be found by using the formula

v = a × t

where

a is the acceleration

v is the speed

t is the time

From the question we have

v = 10 × 25

We have the final answer as

250 m/s

Hope this helps you

Adhira loves to ride her bike around the neighborhood. She starts riding 1.2 miles at 30° S of E. Then, she rides another 2.0 miles at 20° W of S. Next, she rides 1.6 miles at 30° S of W. And finally, she rides 2.6 miles at 15° W of N. What is her final displacement from her starting point?

Answers

Answer:

D = 1.8677 miles , θ = 24.28º at South of West

Explanation:

This is an exercise in adding vectors, the easiest way to solve them is to decompose the vectors and add each component algebraically. Let's use trigonometry

first displacement. d = 1.2 miles to 30º south of East

     cos ( 360-30) = cos (-30) = x₁ / d

     sin (-30) = y₁ / d

     x₁ = d cos (-30)

     y₁ = d sin (-30)

     x₁ = 1.2 cos (-30) = 1,039 miles

     y₁ = 1.2 sin (-30) = -0.6 miles

second shift. d = 2.0 miles to 20º West of South

       cos (270-20) = x₂ / d

       cos (250) = y₂ / d

       x₂ = 2.0 cos 250 = -0.684 miles

       y₂ = 2.0 sin250 = -1.879 miles

Third displacement. d = 1.6 miles to 30º South of West

       cos (180 + 30) = x₃ / d

       sin (210) = y₃ / d

       x₃ = 1.6 cos 210 = -1.3856 miles

       y₃ = 1.6 sin 210 = -0.8 miles

Fourth displacement. d = 2.6 miles to 15º West of North

       cos (90 + 15) = x₄ / d

       sin (105) = y₄ / d

       x₄ = 2.6 cos 105 = -0.6729 miles

       y₄ = 2.6 sin 105 = 2,511 miles

having all the components we add

x-axis  (West-East direction)

       X = x₁ + x₂ + x₃ + x₄

       X = 1.039 -0.684 - 1.3846 - 0.6729

       X = -1.7025 miles

   

       Y = y₁ + y₂ + y₃ + y₄

       Y = -0.6 -1.879 -0.8 +2.511

       Y = -0.768

The modulus of this displacement is we use the Pythagorean theorem

      D = √ (X² + Y²)

      D = √ (1.7025² + 0.768²)

      D = 1.8677 miles

let's use trigonometry to find the direction

       tan θ = Y / X

       θ = tan⁻¹ Y / x

       θ = tan⁻¹ (0.768 / 1.7025)

       θ = 24.28º

as the two components are negative this angle is in the third quadrant

therefore in cardinal direction form is

         θ = 24.28º at South of West

a ball accelerate downward at 9.8 m/s2 with 1.7 of force. What is the mass of the ball?

Answers

Answer:

0.14 kg

Explanation:

m=F/a = (1.4N/9.8 m/s/s) =0.14 kg

when a car suddenly stops,the objects in the backseat are thrown forward.this is explained by-

A.Newton's first law of motion
B.Newton's second law of motion
C.Newton's third law of motion
D.the universal law of gravitation

Answers

Answer:law of interia(1st law)

Explanation:

Athlete’s foot is also called...
A.) pedicure sickness Not Quite!
B.) runner’s bacteria Not Quite!
C.) toe virus Not Quite!
D.) tinea pedis

Answers

Answer:

Your answer is: D) Tinea Pedis

Explanation:

Hope this helped : )

Which of the following statements is true?

Observations are often used to form questions about the world.
The dependent variable is changed by the experimenter.
The best hypotheses are written as answers to a question.
A hypothesis is created at the end of an experiment.

Answers

Answer:

The answer is B.

Explanation:

They are in control of the experiment, they can change it the variables to better help the experiment.

Answer:

b

Explanation: its b

3. Four projectiles, A, B, C, and D, were launched from, and returned to, level ground.
The data table below shows the initial horizontal speed, initial vertical speed, and
time of flight for each projectile.
Data Table
Projectile Initial Horizontal Speed (m/s) Initial Vertical Speed (m/s) Time of Flight (s)
A
40.0
29.4
6.00
B
60.0
19.6
4.00
С
50.0
24.5
5.00
D
80.0
19.6
4.00
Which projectile traveled the greatest horizontal distance? [Neglect friction.]

Answers

Answer is D

Taking the test rn and found out the answer

The projectile D traveled the greatest horizontal distance.

What is projectile motion?

Projectile motion is a form of motion experienced by an object or particle that is projected near the Earth's surface and moves along a curved path under the action of gravity only.

What is projectile horizontal distance?

Horizontal range of a projectile is the horizontal distance travelled by the projectile between launch and the landing points.

The projectile horizontal distance is depend on horizontal speed and time in air.

In all these four projectile, projectile D has maximum horizontal speed and time in air.

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how do the early efforts of women during the suffrage movement compare to the later years

Answers

The idea that women's liberation is also men's liberation arouses the awakening of feminism. In 1966 Frieden and other feminists founded the National Organization for Women. Then other women's organizations for equal rights were formed in the United States and Western Europe. These organizations sought to overturn discriminatory laws and practices that forced women to hold down their status, such as discrimination in matters of contract and property ownership, employment and wages, the treatment of wage income, and issues relating to sex and child-bearing. The growing feminist movement more broadly seeks to change social stereotypes that women are more vulnerable, passive and dependent, less rational and emotionally reactive than men. Feminism strives for greater freedom for women in the workplace and makes them financially and psychologically independent of men, if they wish. Feminists criticized society's general emphasis on women as objects of sexual desire and sought to raise women's awareness and expand their opportunities in order to achieve equality with men. Another objective of feminism is to promote women's participation in all areas of political decision-making and social life.

Find the range of a projectile launched at an angle of 30⁰with an initial velocity of 20m/s

Answers

Initial velocity of projection (u) = 20 m/s

Angle of projection (θ) = 30°

Formula of Horizontal Range of Projectile:

[tex] \boxed{ \bf{R = \dfrac{2u^2 sin\theta .cos \theta}{g}}}[/tex]

By substituting values in the formula, we get:

[tex] \rm \longrightarrow R = \dfrac{2 \times 20^2 \times sin30 \degree \times cos 30 \degree}{10} \\ \\ \rm \longrightarrow R = \dfrac{ \cancel{2} \times 40 \cancel{0} \times \dfrac{ \sqrt{3} }{ 2} \times \dfrac{1}{\cancel{2}} }{ \cancel{10}} \\ \\ \rm \longrightarrow R =40 \times \dfrac{ \sqrt{3} }{ 2} \\ \\ \rm \longrightarrow R =20 \sqrt{3} \: m \\ \\ \rm \longrightarrow R =34.641 \: m[/tex]

[tex] \therefore [/tex] Horizontal Range of Projectile (R) = 34.641 m

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