1. Find the potential energy of 20 Kg mass child sitting on a roof 10 m above the ground.
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1 LECTURE_8 Name: ID: DATE: 22/04/ PHYS ASSIGNMENT 1. Find the potential energy of 20 Kg mass child sitting on a roof 10 m above the ground. 2. A women is pulling a box of 20 Kg mass on a horizontal surface, a distance of 10 m with a constant speed. The force of friction between the box and the surface is 20 N. - Find the work she did against the force of friction. 3. A ball of 3 Kg mass was dropped from rest the top of tower 50 m high. - Find the speed of the ball 20 m above the base of the tower. 4. A car of 300 Kg mass is travelling at 20 m/s speed coasts to a stop in 100 m on a rough horizontal road. - Find the energy loss. 5. A champion raises a 10 Kg mass vertically upwards a distance of 0.5 m. He practices that 1000 times. a) Find the work he did against gravitational forces. b) A kilogram of fat supplies energy of 50x106 6 J. If he converts energy converts energy with efficiency rate of 25%. - How much fat he consumed in the exercise. 6. A car of 800 Kg mass is travelling at 20 m/s speed hits a concrete wall and comes to rest after smashing 1.5 meter of the front of the car. - Find the reactive force acting on the car body during the crash. 7. A boy of 50 Kg mass climb s a mountain 500 m high. a) Find the work he did against gravitational forces. DR. MOHAMMED MOSTAFA EMAM PHY Page 1
2 b) A Kilogram of fat supplies energy of 400x10 5 J. If he converts energy converts energy with efficiency rate of 15%. - How much fat he consumed in the climb. 8. A car of 800 Kg mass is travelling at 20 m/s speed coasts to a stop in 400 m on a rough horizontal road. - Find the force of friction. 9. A box with an initial speed of 2 m/s slides to rest on horizontal floor in 3 m. - Find the coefficient of Kinetic friction between the box and the floor. 10. A man of 60 Kg sits on a chair while his feet is resting on the ground. The ground exerts a force of 350 N on the feet. - Find the force exerted by the chair on him. 11. Two children balance on a weightless see-saw. One weighs 500 N is seated 1,6 m from the fulcrum. The other is seated 2 m from the fulcrum. - Find the weight of the other child. 12. A man of 50 Kg mass climbs a mountain 3500 m above the see level. One Kg Fat supplies 3x10 7 J of mechanical energy. If he converts fat in to mechanical energy with 20 % efficiency rate. a) Find the work done against the force of gravity. b) How much fat he consumed in the climb. 13. A man is pulling a bag of 20 Kg mass on a horizontal floor. The pulling force is 40 N inclined at 30 o above the horizontal and the coefficient of friction between the bag and the floor is 0.2. a) What is the force of friction? DR. MOHAMMED MOSTAFA EMAM PHY Page 2
3 b) What is the acceleration of the suite case? 14. A woman is pulling a chair of 20 Kg on a horizontal surface, a distance of 10 m with a constant speed. The force of friction between the chair and the surface is 20 N. - Find the work she did against the force of friction. 15. A ball of 3 Kg mass was dropped from rest from the top of tower 50 m high. - Find the speed of the ball 30 m above the base of the tower. 16. A car of 80 Kg mass is travelling at 20 m/s speed coasts to a stop in 400 m on a rough horizontal road. - Find the energy loss. 17. A car of 400 Kg mass is travelling at 30 m/s speed hits a concrete wall and comes to rest after smashing 1.5 meter of the front of the car. - Find the reactive force acting on the car body during the crash. 18. A girl of 50 Kg mass climb s mountain 4000 m high. a) Find the work she did against gravitational forces. b) A kilogram of fat supplies energy of 333x10 5 J. If she converts energy with efficiency rate of 25%. How much fat she consumed in the climb. 19. A car of 800 Kg mass is travelling at 20 m/s speed coasts to a stop in 400 m on a rough horizontal road. - Find the force of friction. 20. A box with an initial speed of 3 m/s slides to rest on a horizontal floor in 4 m. - Find the coefficient friction between the box and the floor. 21. A dog of 50 Kg mass climb s a mountain 555 m high. a) Find the work she did against forces. DR. MOHAMMED MOSTAFA EMAM PHY Page 3
4 b) A kilogram of fat supplies energy 3.7x10 7 J. If the dog converts energy with efficiency of 15%. How much fat the dog consumed in the climb. 22. A man of 40 Kg sits on a chair while his feet is resting on the ground. The ground exerts a force of 340 N on the feet. - Find the force exerted by the chair on him. 23. Two dogs balance on a weightless see-saw. One weighs 300 N and is seated 1,6 m from the fulcrum. The other is seated 2.2 m from the fulcrum. - Find the weight of the other child. 24. A man of 50 Kg mass climbs a mountain 3500 m above the see level. One Kg fat supplies 0.053x10 9 Joule of mechanical energy. If he converts fat into mechanical energy with 20% efficiency rate. a) Find the work done against the force of gravity. b) How much fat he consumed in the climb. 25. A man is pulling a desk of 20 Kg mass on a rough horizontal; floor. The pulling force is 40 N inclined at 30 o above the horizontal and the coefficient of friction between the desk and the floor is a) What is the force of friction? b) What is the acceleration of the desk? 26. A lady is pulling a suitcase of 20 Kg mass on a rough horizontal floor. The pulling force T=100 N and is inclined at 40 o above the horizontal. If the coefficient of friction is 0.3. a) Find the components Tx and Ty of the pulling force. b) Find the force of friction acting on the suitcase. c) Find the acceleration of the suitcase. DR. MOHAMMED MOSTAFA EMAM PHY Page 4
5 27. If a person uses his arm in holding weight w1 =12 N, find the force exerted by the biceps muscle T if you know that the weight of the arm is 15 N. - Find the force exerted by the biceps muscle T. 28. A man of 50 Kg mass climbs a mountain 3500 m above the see level. One Kg fat supplies 3.6x10 7 Joule of mechanical energy. If he converts fat into mechanical energy with 20% efficiency rate. a) Find the work done against the force of gravity. b) How much fat he consumed the climb. 29. A man is pulling a suit case of 20 Kg mass on a rough horizontal floor. The pulling force is 40 N inclined at 30 o above the horizontal and the coefficient of friction between the suit case and the floor is a) What is the force of friction? b) What is the acceleration of the suit case? 33- If a car lose a part of its kinetic energy = 8000 J due to friction, in 2 m. - Find the friction force. 34- If the car in the previous problem is 1000 kg. a) Find its final velocity if the initial velocity was 10 m/s. b) Find the distance needed to stop the car. 35) If a person succeed with power 500 w in moving a heavy box (500 kg) for 2 m, in 4 seconds, find; a) The work that has been done by this person. b) The friction force if you know that the friction coefficient of the surface is 0.02, consider g=10 m/s 2. c) The force that has been exerted by this person. DR. MOHAMMED MOSTAFA EMAM PHY Page 5
6 d) Velocity of the box. 36) If a car lose a part of its kinetic energy = 8000 J due to friction, in 2 m. - Find the friction force. 37) If the car in the previous problem is 1000 kg, find: a) Its final velocity if the initial velocity was 10 m/s. b) The distance needed to stop the car. 38) If a person succeed with power 500 w in moving a heavy box (500 kg) for 2 m, in 4 seconds, find; a) The work that has been done by this person. b) The friction force if you know that the friction coefficient of the surface is 0.07, consider g=10 m/s 2. c) The force that has been exerted by this person. d) Velocity of the box. 40- An object s weight on Earth is 490 N. Calculate: a) Its mass b) Its weight in the moon where gmoon = 1.60 m/s A 500 Kg object on an unknown planet has a weight of 250 N. - Calculate the acceleration caused by the planet s gravity. 42- A truck is pulling car having 250 kg mass in it with a force of 440N; if the applied force has an angle of 17º to the horizontal. - Calculate the acceleration of the truck. 43- Calculate the force required to accelerate a 10 kg block straight up at 25 cm/s A 5.0 N force accelerates a 1Kg block at 45.0 cm/s 2. Calculate K. DR. MOHAMMED MOSTAFA EMAM PHY Page 6
7 45- A person having a mass of 100 kilograms who climbs a 3-meter-high ladder from see level in 5 seconds is doing work at a rate of about watts. Calculate the acquired potential energy of this person after reach to the height 30 meters. DR. MOHAMMED MOSTAFA EMAM PHY Page 7
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