A car moving at 40 km/hr is to be stopped by applying brakes in the next 4 m. If the car weighs 2000 kg, what average force must be applied to stop it?
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Given :
Speed =u= 40km/hr x 5/18 = 11.11 m/s
Final speed=v= 0 m/s
mass of the car=m= 2000kg
a=?
From Third equations of motion.
v²-u²=2as
a= v²-u²/2s
a=o²-(11.11)²/2x4
a=-123.4321/8
=-15.42 m/s²
Now F= mx a
= 2000x -15.42
= - 3.1 x 10 ⁴ N
∴ The force applied to stop is 3.1 x 10⁴ N in opposite direction
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