A ball of mass 150 g starts moving with an acceleration of 20 m/s² when hit by a force, which acts on it for 0

Question

A ball of mass 150 g starts moving with an acceleration of 20 m/s² when hit by a force, which acts on it for 0.1 s. The impulsive force is:

Accepted Answer

1. **Identify Given Values:**
   - Mass ($m$) = 150 g = 0.15 kg
   - Acceleration ($a$) = $20 	ext{ m/s}^2$
   - Time duration ($t$) = 0.1 s
2. **Calculate Force:** According to Newton's Second Law, the force acting on the ball is:
   $$ F = ma = 0.15 	ext{ kg} 	imes 20 	ext{ m/s}^2 = 3.0 	ext{ N} $$
   [Source 75]
3. **Calculate Impulse:** The question asks for the 'impulsive force' but provides options in units of Impulse (N s). Impulse is defined as the product of force and the time duration for which it acts (or simply the change in momentum).
   $$ 	ext{Impulse} = F 	imes t $$
   $$ 	ext{Impulse} = 3.0 	ext{ N} 	imes 0.1 	ext{ s} = 0.3 	ext{ N s} $$
   [Source 66, 76]

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