1.

An iron block of mass m = 500 kg is kept at the back of a truck moving at a speed v_(0)=90km h^(-1). The driver applies the brakes and shows down to a speed of v=54km h^(-1) in 10s. What constant force acts on the block during this time if the block does not slide on the truck-bed?

Answer»

Solution :The acceleration, `a=(v-v_(0))/(t)`
`=(54 km h^(-1)-90kmh^(-1))/(10s)`
`=(15ms^(-1)-25ms^(-1))/(10s)`
`=-1m//s^(2)`
or, Force F = ma
`=500kg (-1 ms^(-2))`
`=-500N`
-ve sign INDICATES that the force ACTS opposite to the VELOCITY of the block. The magnitude of force is 500 N.


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