A 1000 kg car is brought to rest in 5 seconds from 20 m per second. The braking force needed is:
A1000 N
B2000 N
C8000 N
D4000 N
Answer & Solution
Correct answer: D. 4000 N
1. Compute change in momentum: Δp = m·(v − u) = 1000·(0 − 20) = −20000 kg m per second.
2. Apply impulse-momentum theorem: F·t = Δp.
3. F = Δp / t = (−20000) / 5.
4. F = −4000 N (the minus sign means the force opposes motion).
5. The required magnitude is 4000 N.
6. Options A and B underestimate; D doubles wrongly.
_Source: Selina Concise Physics ICSE Class 9, Ch 3 'Laws of Motion' (aplustopper.com extract)_
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