Question

Notify Me Bookmark

A car with a mass of 1200 kg rounds the top of the hill at a speed of 20 m/s. The friction between the wheels and the road is negligible and the radius of curvature for the hill is 55 m. A. Draw the force diagram and write down a Newton's 2 nd law equation for the car when it is at the top of the hill. B. Find the magnitude of the normal force on the car when it rounds the hill at this speed. C. What is the maximum speed at which the car could round this hill without losing contact with the road?

A car with a mass of 1200 kg rounds the top of the hill at a speed of 20 m/s. The friction between the wheels and the road is negligible and the radius of curvature for the hill is 55 m. A. Draw the force diagram and write down a Newton's 2 nd law equation for the car when it is at the top of the hill. B. Find the magnitude of the normal force on the car when it rounds the hill at this speed. C. What is the maximum speed at which the car could round this hill without losing contact with the road?

Image text
(10 points) A car with a mass of 1200 k g rounds the top of the hill at a speed of 20 m / s . The friction between the wheels and the road is negligible and the radius of curvature for the hill is 55 m . A. Draw the force diagram and write down a Newton's 2 nd law equation for the car when it is at the top of the hill. B. Find the magnitude of the normal force on the car when it rounds the hill at this speed. C. What is the maximum speed at which the car could round this hill without losing contact with the road?

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

A radio controlled car, with a mass of 3.0 kg, travels counterclockwise around the curved path shown (viewed from above, gravity is directed into the paper). The radius of curvature of the path is 2.0 m. When at the top of the curve (shown) the speed of the car is 2 m/s and it is slowing down with aT = −2.1 m/s2. The car is not slipping. a. What is the frictional force vector that the ground is applying to the car at the point shown? (Express the force in terms of i and j unit vectors.) b. What is the force that the ground is applying to the car in the z-direction (out of the paper)? c. What is the magnitude of the total force that the ground is applying to the car? d. What is the minimum static coefficient of friction such that the car would not slip at the time shown?
Solution
0 0

A small rock with mass 0.26 kg is released from rest at point A, which is at the top edge of a large, hemispherical bowl with radius R = 0.48 m (Figure 1). Assume that the size of the rock is small compared to R, so that the rock can be treated as a particle, and assume that the rock slides rather than rolls. The work done by friction on the rock when it moves from point A to point B at the bottom of the bowl has magnitude 0.22 J. Figure 1 of 1 Part A Between points A and B, how much work is done on the rock by the normal force? Express your answer in joules. Submit Request Answer Part B Between points A and B, how much work is done on the rock by gravity? Express your answer in joules. Submit Request Answer Part C What is the speed of the rock as it reaches point B ? Express your answer in meters per second. Submit Request Answer Part D Of the three forces acting on the rock as it slides down the bowl, which (if any) are constant? Check all that apply. None of the forces. Frictional force. Force due to gravity. Normal force. Part E Just as the rock reaches point B, what is the normal force on it due to the bottom of the bowl? Express your answer in newtons.A small rock with mass 0.26 kg is released from rest at point A, which is at the top edge of a large, hemispherical bowl with radius R = 0.48 m (Figure 1). Assume that the size of the rock is small compared to R, so that the rock can be treated as a particle, and assume that the rock slides rather than rolls. The work done by friction on the rock when it moves from point A to point B at the bottom of the bowl has magnitude 0.22 J. Figure 1 of 1 Part A Between points A and B, how much work is done on the rock by the normal force? Express your answer in joules. Submit Request Answer Part B Between points A and B, how much work is done on the rock by gravity? Express your answer in joules. Submit Request Answer Part C What is the speed of the rock as it reaches point B ? Express your answer in meters per second. Submit Request Answer Part D Of the three forces acting on the rock as it slides down the bowl, which (if any) are constant? Check all that apply. None of the forces. Frictional force. Force due to gravity. Normal force. Part E Just as the rock reaches point B, what is the normal force on it due to the bottom of the bowl? Express your answer in newtons.A small rock with mass 0.26 kg is released from rest at point A, which is at the top edge of a large, hemispherical bowl with radius R = 0.48 m (Figure 1). Assume that the size of the rock is small compared to R, so that the rock can be treated as a particle, and assume that the rock slides rather than rolls. The work done by friction on the rock when it moves from point A to point B at the bottom of the bowl has magnitude 0.22 J. Figure 1 of 1 Part A Between points A and B, how much work is done on the rock by the normal force? Express your answer in joules. Submit Request Answer Part B Between points A and B, how much work is done on the rock by gravity? Express your answer in joules. Submit Request Answer Part C What is the speed of the rock as it reaches point B ? Express your answer in meters per second. Submit Request Answer Part D Of the three forces acting on the rock as it slides down the bowl, which (if any) are constant? Check all that apply. None of the forces. Frictional force. Force due to gravity. Normal force. Part E Just as the rock reaches point B, what is the normal force on it due to the bottom of the bowl? Express your answer in newtons.
Solution
0 0

A small block with mass 0.0400 kg slides in a vertical circle of radius 0.790 m on the inside of a circular track. There is no friction between the track and the block. At the bottom of the block's path, the normal force the track exerts on the block has magnitude 3.40 N. Part A What is the magnitude of the normal force that the track exerts on the block when it is at the top of its path? Express your answer with the appropriate units.
Solution
0 0