A cube strikes a stationary ball exerting an average force of 50 N over at time of 10 ms. The ball has mass of 0.5 kg. Its speed in (m/s) after the impact will be

  1. 0.5
  2. 1
  3. 1.5
  4. 0.75

Answer (Detailed Solution Below)

Option 2 : 1
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ST 1: JKSSB JE - Surveying
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Detailed Solution

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Concept:

Impulse:

If a Force F is applied for a small time interval t, then the product of F and t is known as Impulse.

Numerically, Impulse is equal to change in momentum.

F × t = m (v – u)

where v = velocity after the impact, u = velocity before the impact, t = fraction of time during which force is applied

Calculation:

Given:

F = 50 N, t = 10 ms = 10 × 10-3 s, u = 0 and m = 0.5 kg

F × t = m (v – u)

50 × 10 × 10-3 = 0.5 × (v – 0)

∴ v = 1 m/s
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