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Q.

A car of mass 1000 kg moving with a velocity of 45 km/h collides with a tree and comes to stop in 5 s. what will be the force exerted by the car on the tree?


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a

2700 N

b

1500 N

c

1000 N

d

2500 N 

answer is D.

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Detailed Solution

A car of mass 1000 kg moving with a velocity of 45 km/h collides with a tree and comes to stop in 5 s. The force exerted by car is 2500 N.
Given data in the problem,
Initial velocity, = 45 km h-1
Converting km h-1 to m s-1
u=45 km h-1 
         = 45 × 518          =12.5 m s-1
Time, = 5 s
Mass of car, = 1000 kg
Final velocity, = 0
By using first equation of motion,
= u + at Where,
= final velocity = initial velocity = acceleration = time 0 = 12.5 + a × 5 = -12.5/5 = -2.5 m s-2 (Negative sign shows that the acceleration is in negative or say retardation)
So, the force exerted by the car is given by
      F=ma
= 1000 × (2.5) = 2500 N  
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