Chapter 1 Rotational Motion, Circular Motion and Gravitation A 80 kg passengers in a roller coaster car is moving in a circular loop of radius 10 m, which makes its passengers go upside down at the top a) What is the normal force exerted by the tracks if its velocity is 12 m s at the top b) What is the normal force exerted by the tracks if its velocity is 18 m s at the bottom A 70 kg jet pilot is in a circular dive with the speed of 200 m s moving in a radius of 4000 meters What is the normal force that the seat is exerting on a pilot at the bottom of the circular dive A 0 60 kg rock is swung in a circular path and in a vertical plane on a 0 50 m length string At the top of the path, its speed is 4 m s What is the tension in the string at that point Chapter 2 Energy A spring with force constant (k 20,000 N m) is compressed by 0 1 meters by the 2 0 kg block Calculate the maximum speed of the block as it leaves the spring A 65 kg skier starts from rest from the top of a 55 m high slope The speed of the skier at the bottom of the slope is 28 m s What is the work done by non conservative forces A skier starts from rest from the top of a 40 m high slope which makes 40 degrees with the ground Coefficient of friction is 0 1 What is the velocity of the skier at the bottom of the ramp Chapter 3 Problems Momentum, Impulse and Collisions A 2 0 kg mass moving at 5 0 m s suddenly collides head on with a 3 0 kg mass at rest If the collision is perfectly inelastic, what is the speed of the masses just after the collision Is the kinetic energy conserved A 2 0 kg mass moving at 5 0 m s suddenly collides head on with a 3 0 kg mass at rest If the collision is perfectly elastic, what is the speed of the masses just after the collision Is the kinetic energy conserved A 0 35 kg toy car moving with 0 65 m s hits a 0 20 kg toy truck moving in the opposite direction with the speed of 0 40 m s After the collision, the toy car bounces back with a speed of 0 35 m s What is the speed of the toy truck after the collision Chapter 4 5 Rotational Dynamics A uniform meter stick with 4 N weight is held in equilibrium by two string First string is at 20 cm mark and the other is at 60 cm mark What are the tensions in the strings A girl and a boy push a merry go round that is initially at rest The boy applies 20 N force from 1 0 meter away from the center tangentially and the girl applies T2 40 N from 0 9 m away from the center tangentially both rotating counterclockwise Merry go round is a solid disc of radius 1 0 m and with mass m 80kg a) Calculate the moment of inertia of the merry go round b) Calculate the net torque c) Calculate its angular acceleration A 240 N sphere of 0 20 m in radius rolls without slipping 6 0 m down a ramp that is inclined at an angle of 37 with the horizontal Use the conservation of energy to find the speed of the sphere at the bottom of the slope if it starts from rest ( I 2 5 M2)

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Chapter 1: Rotational Motion, Circular Motion and Gravitation

A 80 kg passengers in a roller coaster car is moving in a circular loop of radius 10 m, which makes its passengers go upside down at the top. a) What is the normal force exerted by the tracks if its velocity is 12 m/s at the top? b) What is the normal force exerted by the tracks if its velocity is 18 m/s at the bottom?
A 70 kg jet pilot is in a circular dive with the speed of 200 m/s moving in a radius of 4000 meters. What is the normal force that the seat is exerting on a pilot at the bottom of the circular dive?
A 0.60-kg rock is swung in a circular path and in a vertical plane on a 0.50-m-length string. At the top of the path, its speed is 4 m/s. What is the tension in the string at that point?

Chapter 2: Energy

A spring with force constant (k=20,000 N/m) is compressed by 0.1 meters by the 2.0 kg block. Calculate the maximum speed of the block as it leaves the spring.
A 65-kg skier starts from rest from the top of a 55-m high slope. The speed of the skier at the bottom of the slope is 28 m/s. What is the work done by non-conservative forces?
A skier starts from rest from the top of a 40 m high slope which makes 40 degrees with the ground. Coefficient of friction is 0.1 What is the velocity of the skier at the bottom of the ramp?

Chapter 3 Problems: Momentum, Impulse and Collisions

A 2.0-kg mass moving at 5.0 m/s suddenly collides head-on with a 3.0-kg mass at rest. If the collision is perfectly inelastic, what is the speed of the masses just after the collision? Is the kinetic energy conserved?
A 2.0-kg mass moving at 5.0 m/s suddenly collides head-on with a 3.0-kg mass at rest. If the collision is perfectly elastic, what is the speed of the masses just after the collision? Is the kinetic energy conserved?
A 0.35-kg toy car moving with 0.65 m/s hits a 0.20 kg toy truck moving in the opposite direction with the speed of 0.40 m/s. After the collision, the toy car bounces back with a speed of 0.35 m/s. What is the speed of the toy truck after the collision?

Chapter 4-5: Rotational Dynamics

A uniform meter stick with 4 N weight is held in equilibrium by two string. First string is at 20 cm mark and the other is at 60 cm mark. What are the tensions in the strings?
A girl and a boy push a merry go round that is initially at rest. The boy applies 20 N force from 1.0 meter away from the center tangentially and the girl applies T2=40 N from 0.9 m away from the center tangentially both rotating counterclockwise. Merry go round is a solid disc of radius 1.0 m and with mass m=80kg.
- a) Calculate the moment of inertia of the merry go round
- b) Calculate the net torque
- c) Calculate its angular acceleration
A 240 N sphere of 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at an angle of 37 with the horizontal. Use the conservation of energy to find the speed of the sphere at the bottom of the slope if it starts from rest. ( I= 2/5 M2)