Laws of Motion ...

A ball is travelling with uniform translatory motion. This means that:

A meter scale is moving with uniform velocity. This implies

A cricket ball of mass 150 g has the initial velocity \(\vec u =(3\hat i +4\hat j)ms^{-1}\) and a final velocity \(\vec v= -(3\hat i+4\hat j)ms^{-1}.\) After being hit, the change in momentum (final momentum – initial momentum) is (in kg \(ms ^{-1}\))

A cricket ball of mass 150 g has the initial velocity \(\vec u =(3\hat i +4\hat j)ms^{-1}\) and a final velocity \(\vec v= -(3\hat i+4\hat j)ms^{-1}.\) After being hit, the magnitude of momentum transferred during the hit is:

Conservation of momentum in a collision between particles can be understood from

A body of mass 2kg travels according to the law x(t) = pt + \(qt^2\) + \(rt^3\), where p = 3m/s, \(q=4ms^{-2}\) and \(r=5ms^{-3}\).The force acting on the body at t = 2 seconds is:

A body of mass 5 kg is acted upon by a force \(\vec F=(-3\hat i+4\hat j)N\). If its initial velocity at t = 0 is \(\vec u=(6\hat i-12\hat j)ms^{-1}\) the time at which it will just have a velocity along the y-axis is:

A car of mass m starts from rest and acquires a velocity along east \(\vec v=v\hat i(v>0)\) in two seconds. Assuming the car moves with uniform acceleration, the force exerted on the car is:

The motion of a particle of mass m is given by x = 0 for t < 0s, x(t) = A sin \(4\pi t\) for 0 < t < \(({1\over4})s\). (A > 0) and x = 0 for t > \(({1\over4})s\). Which of the following statements is true?

(a) The force at t = \(({1\over8})\)s on the particle is \(-16\pi^2 Am\)

(b) The particle is acted upon by on impulse of magnitude \(4\pi^2 Am\) at t = 0s and t = \(({1\over4})s\)

(c) The particle is not acted upon by any force.

(d) The particle is not acted upon by a constant force.

(e) There is no impulse acting on the particle

Two billiard balls A and B, each of mass 50g and moving in opposite directions with speed of \(5ms ^{–1}\) each, collide and rebound with the same speed. If the collision lasts for \(10^{-3}\)s which of the following statements are true?

(a) The impulse imparted to each ball is 0.25 kg \(ms^{-1}\) and the force on each ball is 250 N.

(b) The impulse imparted to each ball is 0.25 kg \(ms^{-1}\) and the force exerted on each ball is 25 x \(10^{-5}\) N.

(c) The impulse imparted to each ball is 0.5 Ns.

(d) The impulse and the force on each ball are equal in magnitude and opposite in direction.