Using second law of motion, derive the relation between force and acceleration. A bullet of 10g strikes a sand-bag at a speed of `10^(3)ms^(-1)` and gets embedded after travelling 5cm.Calculate
the time taken by the bullet to come to rest.

A bullet of mass 20 g moving with a speed of 500ms^(-1 ) strikes a wooden block of mass 1 kg and gets embedded in it. Find the speed with which block moves along with the bullet.

Derive the unit of force using the second law of motion. A force of 5N produces an acceleration of 8m s^(-2) on a mass m_(1) and an acceleration of 24m s^(-2) on a mass m_(2) . What acceleration would the same force provide if both the masses are tied together?

A truck travelling at a speed at a speed of 25 m s^-2 ,slows down to a speed of 5 m s^-1 in 10 s.Calculate the acceleration of the truck during these 10 seconds.

An electron moving with a velocity of 5 xx 10^(4)ms^(-1) enters into a uniform electirc field and acquires a uniform acceleration of 10^(4)ms^(-2) in the direction of its initial motion. Calculate the time in which the electron would acquire a velocity double of its initial velocity.

A person in an elevator accelerating upwards with an acceleration of 2ms^-2 , tosses a coin vertically upwards with a speed of 20 m s^-1 . After how much time will the coin fall back into his hand? (g = 10 ms^-2)