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Home » Physics » First Year » Chapter Three - Motion and Force

Chapter Three – Motion and Force

Our universe is in continuous motion,as atoms in every piece of matter are always in motion.so motion is very important to study.
The change of position from one place to another is known as displacement.It is the shortest distance between two points.
The rate of change of displacement is known as velocity.At any particular instant of time,velocity is called instantaneous velocity.
The Rate of change of velocity is called acceleration.At any instant(small interval of time where time approaches to zero) acceleration is instantaneous acceleration.
In the velocity-time graph,slope gives acceleration at any instant.And the area under the velocity-time graph is equal to total distance covered.
Product of mass and velocity is called momentum.Impulse is the product of force and time,and it is equal to the change in momentum.
A collision in which kinetic energy is conserved,is called elastic collision where in inelastic collision kinetic energy doesn’t remain constant.
Two dimensional motion,under the action of gravity is known as projectile motion.

  • Q 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?

  • Q 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 …

  • Q 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.

  • Q 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.

  • Q 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 …

  • Q 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 …

  • Q 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.

  • Q 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.

  • Q 3.9: Two blocks of masses 2 kg and 0.5 kg are attached at two ends of a compressed spring. The elastic Potential Energy stored in the spring is 10J. Find the velocities of the blocks if the spring delivers its energy to the blocks when released.

  • Q 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?

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