Mechanics PYQ — Page 22

An object of mass $3 \mathrm{~kg}$ is at rest. Now a force $F=6 t^2 \hat{i}+4 \hat{j}$ is applied on the object then the velocity of the object at $t=3 \mathrm{~s}$ is:

A point P consider at the contact point of a wheel on the ground which roll on the ground without slipping, then the value of the displacement of point $\mathrm{P}$ when wheel completes half of the rotation (if radius of wheel is $1 \mathrm{~m}$ )is:

A lift of mass $1000 \mathrm{~kg}$ which is moving with an acceleration of $1 \mathrm{~ms}^{-2}$ in the upward direction, then the tension developed in the string which is connected to lift is:

A rod of length is $3 \mathrm{~m}$ and its mass acting per unit length is directly proportional to distance $x$ from one of its end, then its centre of gravity from that end will be at:

A solid sphere of radius $R$ is placed on a smooth horizontal surface. A horizontal ' $F$ ' is applied at height ' $h$ ' from the lowest point. For the maximum acceleration of the centre of mass, which is correct?

A body of mass $m$ is placed on Earth's surface which is a taken from Earth's surface to a height of $h=3 R$, then the change in the gravitational potential energy is:

A particle (a) is dropped from a height and another particle (b) is projected in the horizontal direction with a speed of $5 \mathrm{~ms}^{-1}$ from the same height, then the correct statement is:

If kinetic energy of a body is increased by $300 \%$ than percentage change in momentum will be: