mechanics (mass, force, acceleration, work, energy, momentum, velocity) - Category wise Question and Answer Practice Test with Solutions

Question : 21

Consider the following statements :

1. A body can have constant velocity and still have varying speed.
2. A body falls freely from a height with uniform acceleration.

a) 1 and 2 both

b) 1 only

c) 2 only

d) None

Question : 22

Statement A :
While walking on ice, one should take small steps to avoid slipping.
Statement B :
This is because smaller steps ensure smaller friction.

a) Both statements are correct.

b) Statement B is correct.

c) Statement A is correct.

d) Both statements are incorrect.

Question : 23

Dimensions of impulse are

a) [MT^–2]

b) [MLT² ]

c) [MLT^–1]

d) [ML^–1T^–3]

Question : 24 [NDA]

A particle oscillates in one dimension about the equilibrium position subject to a force $F_x$(x) that has an associated potential energy U(x). If k is the force constant, which one of the following relations is true?

a) U(x) = $1/2$kx

b) $F_{x}(x) = –kx$

c) $F_{x}(x) = –kx^2$

d) U(x) =$1/2k^2x$

Question : 25

If the earth stops rotating about its axis, the acceleration due to gravity will remain unchanged at

a) latitutde 60°

b) latitude 45°

c) equator

d) poles