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Q.

The kinetic energy of a particle continuously increases with time.
a) The resultant force on the particle must be parallel to the velocity at all instants.
b) The resultant force on the particle must be at an angle less than 90^o all the time
c) Its height above the ground level must continuously decrease
d) The magnitude of its linear momentum is increasing continuously.

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a

a, b are correct

b

b, c are correct

c

a, d are correct

d

b, d are correct

answer is D.

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Detailed Solution

$W = \vec{F} \cdot \vec{d} = F d \cos θ$
Since K.E. of the particle is continuously increasing, work done 'W' must have a non-zero positive value and for that θ < 90⁰. Also since KE = p²/2m, with the increase in kinetic energy, momentum 'p' will also increase.

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The kinetic energy of a particle continuously increases with time. a) The resultant force on the particle must be parallel to the velocity at all instants. b) The resultant force on the particle must be at an angle less than 90o all the time c) Its height above the ground level must continuously decrease d) The magnitude of its linear momentum is increasing continuously.