Newtons Laws of Motion Numericals

1. If a net horizontal force of 130 N is applied to a person with mass 60.0 kg who is resting on the edge of a swimming pool, what horizontal h orizontal acceleration is produced? [2.2 m/s2 ] 2

2. What net force is required to accelerate a car at a rate of 2 m/s if the car has a mass of 3,000 kg? 2

3. Sally has a car that accelerates at 5 m/s . If the car has a mass of 1000 kg, how much force does the car produce? 4. What magnitude of net force is required to give a 135 kg refrigerator an acceleration of magnitude 1.40 m/s 2. [189 N] 5. A box rests on a frozen pond, which serves as a frictionless horizontal surface. If a fisherman applies a horizontal force with magnitude 48.0 N to the box and produces an acceleration of magnitude 3.00 m/s 2, what is the mass of the box? [16.0 kg] 6. A crate with mass 32.5 kg initially at rest on a warehouse floor is acted on by a net horizontal force of 140 N.What acceleration is produced? How far does the crate travel in 10.0 s? What is its speed at the end of 10.0 s? [4.31 m/s 2, 215 m, 43.1 m/s] 7. At the surface of Jupiter’s moon Io, the t he acceleration due to gravity is g = 1.81 m/s 2. A watermelon weights 44.0 N at the surface of the earth. What is the mass on the earth’s surface? What are its mass and weight w eight on the surface of Io? [4.49 kg, 4.49 kg, 8.13 N] 8. A .22 rifle bullet, traveling at 350 m/s, strikes a block of soft wood, w ood, which it penetrates to a depth of 0.130 m. The block of wood is clamped in place and doesn’t move. The mass of the bullet is 1.80 g. Assume a constant retarding force. How much time is required for the bullet to stop? What force, in newton, does the wood exert on the bullet? 9. A body with a mass of 1.0 of 1.0 kg is kg is accelerated by a force = 2.0 N . What is velocity of this body after 5.0 after 5.0 s of s of motion? 10. A force of 15 N acts for 5s on a body of mass 5Kg which is initially at rest. Calculate.a) final velocity of the th e body b) the displacement of the body 11. A scooter is moving with a velocity of 20m/s when brakes are applied. The mass of the scooter and the rider is 180Kg. the t he constant force applied by the brakes is 500N. a) How long should the brakes be applied to make the scooter comes to a halt? b) How far does the scooter travel before it comes to rest? 12. A car of mass m=1200 kg is traveling at a speed of 50km/h. Suddenly the brakes are applied and the car is brought to a stop over a distance of 20m. Assuming constant breaking force find: a. the magnitude of the breaking force, b. the time required to stop.

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c. What will be the stopping distance if the initial speed is 100km/h? 13. How much force is needed to accelerate a trolley of mass 20 g through 1 m/s 2. 14. A force of 100N acts on a mass of 25 kg for 5 s .What velocity does it generate? 15. A bullet leaves a rifle with a velocity of 100m/s and the th e rifle of mass 2.5 kg recoils with a velocity of 1m/s. 1 m/s. Find the mass of the bullet? 16. A certain force acting on a mass of 15kg for 3s, gives it a velocity of 2m/s. 2 m/s. Find the magnitude of force. 17. A cricket ball of mass 0.15 kg is moving with a velocity of 1.2m/s. Find the impulse on the ball and average force applied by the player if he is able to stop the ball in 0.18s. 18. A motor car of mass 200kg is moving with a certain velocity. It is brought to rest by the application of brakes, within wit hin a distance of 20m when the th e average resistance being offered to it is 500N.What was the velocity of the motor car? 19. A body of mass 0.5kg undergoes a change of velocity of 4cm/s in 4s What is the force acting on it? 20. A force of 8N acting on an 8kg mass for 4s provides its some velocity. Calculate the velocity. 21. What would be the weight of a body of mass 50kg on the surface of the moon, where g = 1.6m/s 2 what would be its mass? 22. A boy jumps a distance of 2m on the surface of the earth. What distance will he jump on the surface of the moon where g is 1/6th of the value on the surface of the earth? 23. Two bodies of mass 1kg and 2 kg moving in the direction opposite to each other with a speed 5m/s collide. Calculate the total momentum of the system before collision. 24. A bullet of mass 15g leaves the barrel of a gun with a velocity of 120m/s.The gun recoils with a velocity of 1m/s. find the mass of the gun. 25. A force of 3N acts on a mass of 0.5kg at rest for 10s. Find the final velocity and the momentum of the body after 10s. 26. A force of 80N acting on a certain mass for 3s 3 s gives it a velocity of 6m/s. find the mass of the body if the body was w as initially at rest. 27. A car of mass 200 kg moving at 36 km/h is brought to rest after it covered a distance of 10 m. Find the retarding force acting on the car. 28. The figure below show a velocity time t ime graph for a scooterist having a total mass of 150 kg. From F rom the graph calculate - a) The acceleration in first 4 seconds b) The distance covered in the first 4 seconds. c) The force acting in the first 4 seconds.



29. A certain force exerted for 1.2 seconds raises the speed of an object from 1.8 m/s to to 4.2 m/s. Later the same force is applied a pplied for 2 seconds. How much does the velocity change in 2 seconds?

Newtons Laws of Motion Numericals

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