F.Sc ICS Notes: Physics XI: Chapter 3 Motion and Force Numerical Problems 1st Year Physics Notes Online Taleem Ilm Hub
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Numerical Problem 3.1: A helicopter is ascending vertically at the rate of 19.6 m/s when it is at a height of 156.8 m above the ground, a stone is dropped. How long does the stone take to reach the ground?
Numerical Problem 3.2: Using the following data, draw a velocity-time graph for a short journey on a straight road of a motorcycle.
velocity 0 10 20 20 20 20 0
time 0 30 60 90 120 150 180
use the graph to calculate:
(a) The initial acceleration
(b) The final acceleration
(c) The total distance traveled by the motorcyclist.
Numerical Problem 3.3: A proton moving with the speed of 1 * 10(7)m/s passes through a 0.02cm thick sheet of paper and emerges with speed of 2 * 10(6) m/s. Assuming uniform deceleration, find retardation and time taken to pass through the paper.
Numerical Problem 3.4: Two masses m1 and m2 are initially at rest with a spring compressed between them. What is the ratio of their velocities after spring has been released.
Numerical Problem 3.5: An amoeba of mass 1 * 10(-12)kg propels itself through water by blowing a jet of water through a tiny orifice. The amoeba ejects water with a speed of 1 * 10(-4)m/s at a rate of 1 * 10(-12)kg/s. Assume that the water is continuously replenished so that the mass of the amoeba remains the same.
(a) If there were no force on amoeba other then the reaction force caused by the emerging jet, what would be the acceleration of the amoeba?
(b) If amoeba moves with constant velocity through water, what is force of surrounding water (exclusively of jet) on the amoeba?
Numerical Problem 3.6: A boy places a fire cracker of negligible mass in an empty can of 40g mass. He plugs the end with a wooden block of mass 200g. After igniting the fire cracker, he throws the can straight up. It explodes at the top of its path. If the block shoots out with a speed of 2m/s, how fast will the can be going?
Numerical Problem 3.7: An electron (m = 9.1 * 10(-31)kg) traveling at 2 * 10(7)m/s undergoes a head on collision with a hydrogen atom (m = 1.67 * 10(-27)kg), which is initially at rest. Assume the collision to be perfectly elastic and motion to be a straight line, find the velocity of hydrogen atom.
Numerical Problem 3.8: A truck weighing 2500 kg and moving with a velocity of 21 m/s collides with stationary car weighing 1000 kg. The truck and the car move together after the impact. Calculate their common velocity.
Numerical Problem 3.9: Two blocks of masses 2 kg and 0.5 kg attached at two ends of a compressed spring. The elastic P/E stored in the spring is 10J. Find the velocities of the blocks if the spring delivers its energy to the blocks when released.
Numerical Problem 3.10: A football is thrown upward at an angle of 30 degree with respect to the horizontal. To throw a 40 m pass what must be the initial speed of the ball?
Numerical Problem 3.11: A ball is thrown horizontal from a height of 10m with velocity of 21m/s. How far off will it hit the ground and with what velocity?
Numerical Problem 3.12: A bomber dropped a bomb at a height of 490m when its velocity along the horizontal was 300 Km/h.
(a) At what distance from the point vertically below the bomber at the instant the bomb was dropped, did it strike the ground?
(b) How long it was in air?
Numerical Problem 3.13: Find the angle of projection of a projectile for which its maximum height and horizontal range are equal.
Numerical Problem 3.14: Prove that for angle of projection, which exceed or fall short of 45 degree by equal amount the ranges are equal.
Numerical Problem 3.15: A submarine launched Ballistic Missile (SLBM) is fired from a distance of 3000km. If the earth were flat and the angle of launch is 45 degree with horizontal, find the time taken by Slbm to hit the target and the velocity with which the missile is fired.
velocity 0 10 20 20 20 20 0
time 0 30 60 90 120 150 180
use the graph to calculate:
(a) The initial acceleration
(b) The final acceleration
(c) The total distance traveled by the motorcyclist.
Numerical Problem 3.4: Two masses m1 and m2 are initially at rest with a spring compressed between them. What is the ratio of their velocities after spring has been released.
(a) If there were no force on amoeba other then the reaction force caused by the emerging jet, what would be the acceleration of the amoeba?
(b) If amoeba moves with constant velocity through water, what is force of surrounding water (exclusively of jet) on the amoeba?
Numerical Problem 3.6: A boy places a fire cracker of negligible mass in an empty can of 40g mass. He plugs the end with a wooden block of mass 200g. After igniting the fire cracker, he throws the can straight up. It explodes at the top of its path. If the block shoots out with a speed of 2m/s, how fast will the can be going?
Numerical Problem 3.8: A truck weighing 2500 kg and moving with a velocity of 21 m/s collides with stationary car weighing 1000 kg. The truck and the car move together after the impact. Calculate their common velocity.
Numerical Problem 3.11: A ball is thrown horizontal from a height of 10m with velocity of 21m/s. How far off will it hit the ground and with what velocity?
(a) At what distance from the point vertically below the bomber at the instant the bomb was dropped, did it strike the ground?
(b) How long it was in air?
Numerical Problem 3.13: Find the angle of projection of a projectile for which its maximum height and horizontal range are equal.
Good job...
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