1.

A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of `400m` in `20 s`. Find its acceleration. Find the force acting on it if its mass is `7` metric tonnes (Hint.1 metric tonne=1000kg)

Answer» (a) Calculation of acceleration
Here, Initial velocity, u=0
Distance travelled, s=400 m
Time, t= 20 s
And Acceleration, a =? (To be calculated)
Now, `s=ut+1/2at^(2)`
so, `400=0xx20+1/2xxaxx(20)^(2)`
`400=0+1/2xxaxx400`
`400=axx200`
`a=400/200`
`a=2m//s^(2)`
Thus the acceleration of the truck is `2 m//s^(2)`
(b) Calculation of force
Force,F=m`xx`a
F=`7xx1000xx2`
F=14000N
Thus, the force acting on the truck is of 14000 newtons.


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