Newton’s Laws of Motion

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?

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

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

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

A block of mass m, lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant k. The other end of the spring is fixed, as shown in the figure. The block is initially at rest in its equilibrium position. If now the block is pulled with a constant force F, the maximum speed of the block is: ____________.

Solve the following problem.

A truck of mass 5 ton is travelling on a horizontal road with 36 km hr^-1, stops on traveling 1 km after its engine fails suddenly. What fraction of its weight is the frictional force exerted by the road? If we assume that the story repeats for a car of mass 1 ton i.e., car moving at the same speed stops at a similar distance, how much will the fraction be?

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.

You are inside a closed capsule from where you are not able to see anything about the outside world. Suddenly you feel that you are pushed towards your right. Can you explain the possible cause (s)? Is it a feeling or a reality? Give at least one more situation like this.