Newton’s Laws of Motion

A light string passing over a smooth light pulley connects two block of masses m₁ and m₂ (vertically). If the acceleration of the system is (3g/7), then the ratio of masses is ____________.

For the study of any kind of motion, we never use Newton’s first law of motion directly. Why should it be studied?

A nucleus of rest splits into two nuclear parts having radii in the ratio 1 : 2. Their velocities are in the ratio.

N number of balls of mass m kg moving along positive direction of X-axis, strike a wall per second and return elastically. The velocity of each ball is u m/s. The force exerted on the wall by the balls in newton, is ______.

A ball kept at 20 m height falls freely in downward direction vertically and hits the ground. The coefficient of restitution is 0.4. After the first rebound, the upward velocity is g = 10 m/s² ?

A particle moves in the x-y plane under the action of a force `vec"F"` such that the value of its linear momentum `(vec"p")` at any time t is P_x = 2 cos t, p_y = 2 sin t. The angle `theta`  between `vec"F"` and `vec"P"` at a given time twill be ____________.

Answer the following question.

In real life, objects never travel with uniform velocity, even on a horizontal surface, unless something is done? Why is it so? What is to be done?

Take 5 examples from your surroundings and give an explanation based on Newton's laws of motion.