A truck starts from rest and rolls down a hill with a constant acceleration. it travells s distance of 400 m in 20s . find its acceleration. find the force acting on it if its mass is 7 tonnes ( hint: 1tonne= 1000kg)
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Given :-
- Initial velocity (u) = 0
- Distance (s) = 400m
- Time (t) = 20s
- Mass (m) = 7 tonnes
To find :-
- Acceleration
- Force
Solution :-
According to the second equation of motion
→ s = ut + ½ at²
→ 400 = 0 × 20 + ½ × a × (20)²
→ 400 = ½ × a × 400
→ 400 = 200a
→ a = 400/200 = 2m/s²
Hence,
- Acceleration of truck = 2m/s²
As we know that
- 1 tonne = 1000kg
- 7 tonne = 7*1000 = 7000kg
→ Force = mass × acceleration
→ F = ma
→ F = 7000 × 2
→ F = 14000N
Hence,
- Force acting is 14000N
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