A particle of mass 100 g is thrown vertically upwards with a speed of $5~\text{m/s}$. The work done by the force of gravity during the time the particle goes up is

JEE Main · 2006 · 30 Apr 2006 · Offline · Work, Power & Energy

A particle of mass 100 g is thrown vertically upwards with a speed of

5 m/s

. The work done by the force of gravity during the time the particle goes up is

(A)0.5 J
(B)-0.5 J
(C)-1.25 J✓ Correct
(D)1.25 J

Answer: (C)

Solution

The particle rises until its speed falls to zero, climbing a height

h = \frac{v ^{2}}{2 g} = \frac{5 ^{2}}{2 \times 10} = 1.25 m

. Gravity points downward while the displacement is upward, so the work done by gravity during the ascent is negative:

W = - m g h = - (0.1) (10) (1.25) = - 1.25 J

JEE Main · 2006 · 30 Apr 2006 · Offline · Single correct option

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