Problem 1

A baseball is hit with a bat such that it leaves the bat with a velocity of 30 m/s. It is caught by the center fielder 80 m away from the batter at the same level as it was hit. Find the angle at which the ball left the bat?

Problem 2

A body of mass 3.5 kg is at rest on a horizontal table top. A string is attached to this body, the string passing over the pulley at the edge of the table. If another body which weighs 5 N is hung from the other end of the string, Find the distance the bodies will move after 2 seconds?

Problem 3

Two bodies, one a mass of 4.5 kg and other of mass m, are fastened to the two ends of a string which is passed over a smooth pulley so that the two masses hang vertically, with the 4 kg mass 4 meter above the floor. One second after the bodies are released, the 4 kg mass hits the floor. Find the mass m of the other body.

Problem 4

Jun chases John for a prize with 6m/s for both men. When they come to a gap between 2 buildings 3m wide and in gap and 2m difference in heights. John uses his little knowledge in physics, leaps 4.5 m/s at 45 and clears the gap easily. Jun has no background of physics and thinks of maximizing his horizontal velocity, so he leaps at 4.5 m/s horizontally. Does he clear the gap?

Problem 5

A 10 kg block is placed on a frictionless inclined plane, 5m long, that makes an angle of 30. with the horizontal. If the block starts from rest at the top of the plane, what will its velocity be at the bottom of the incline?

Problem 6

A traffic light along the intersection of Lacson and Espana weighing 150 N hangs. From one cable tied two cables fastened to a support. The upper cable makes 40 and 50 with the horizontal. Find the tension in the 3 cables.

Problem 7

A child is twirling a 0.0120 kg ball on a string In a horizontal circle whose radius in 0.1 m. The ball travels once around the circle is 0.5 s. Determine the centripetal force.

Problem 8

A string 0.8 m long is used to whirl a 2 kg stone in a vertical circle. What must be the speed of the stone at the top of the circle if the string is to be just taut?

Problem 9

A ball mass 0.5 kg is attached to the end of the cord whose length is 1.5 m. The ball is whirled in a horizontal circle. If the cord can withstand of 52 N, what is the maximum speed the ball can have before the cord breaks?

Problem 10

A curve of radius 30 m is banked at an angle . Find angle for which the car can round the curve at 40 km/h if the road is frictionless.

Problem 11

A mass of 800 g is suspended from a light cord, and a 1200 g mass is suspend under it by another cord. Calculate the tension in each cord when the two masses lowered with an acceleration of 4m/s2

Problem 12

A 10 kg block is planed on a frictionless inclined plane, 5 m long, that makes an angle 30 with the horizontal. If the block starts from rest at the top of the plane, what will its velocity be at the bottom of the incline?

Problem 13

A 5 g bullet leaves the muzzle with a speed of 320 m/s. What average force is exerted on the bullet while it is traveling down the 0.82 m long barrel of the rifle?

Problem 14

A long jumper leaves the ground at an angle of 20 degrees to the horizontal and at a speed of 11m/s. Find how long did he jump and how high did he reached.

Problem 15

A toy car is moving at constant speed completes one lap around a circular track (a distance of 200 m) in 25 s. Find the velocity and the central force that keeps it in a circle if it has a mass of 1.5 kg.