A 3000 kg truck moving at a speed of 90 m/s stops after covering some distance. The force applied by brakes is 27000 N. Compute the distance covered and work done by this force.
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⏩ Here,
* u= 90 m/s,
*v = 0,
*F = -27000 N,
*m = 3000 kg
We know that, F = ma
= a = F/m
=> - 27000/3000
=> -9 m/s²
Also, v² - u² = 2as
=> 0² - (90)² = 2(-9)s
=> s = 450 m.
Now,
W= F × s
= -27000 × 450
= -12150000 J
= -12150 kJ (The required solution)
[-ve sign shows the retarding force]
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