A body of mass 218 kg starts from rest and attains the velocity of 63m/s in 9
seconds. Find
a) acceleration
(b) distance covered in 9 seconds
(c) force
Answers
Explanation:
is 218 kg.Body starts from rest.Final velocity of body is 63 m/s… ... Find its : (a) acceleration (b) distance covered in 9 seconds (c) ... c) Force = M* a = 218 * 7 = 1526 N
Acceleration = 7 m/s² ✬
✬ Distance = 283.5 m ✬
✬ Force = 1526 N ✬
Explanation:
Given:
Mass of body is 218 kg.
Body starts from rest.
Final velocity of body is 63 m/s.
Time taken is 9 seconds.
To Find:
Acceleration of the body ,distance covered by the body and force ?
Formula to be used:
v = u + at (for acceleration)
s = ut + 1/2at² (for distance)
f = ma (for force)
Solution: Here we have
u = 0
v = 63 m/s
t = 9 seconds
Substitute the values on first formula for finding acceleration
⟹ v = u + at
⟹ 63 = 0 + a × 9
⟹ 63 = 9a
⟹ 63/9 = a
⟹ 7 m/s² = a
So the acceleration is 7 m/s².
[ Let's find distance ]
⟹ s = ut + 1/2at²
⟹ s = 0 × 9 + 1/2 × 7 × 9²
⟹ s = 7/2 × 81
⟹ s = 567/2
⟹ s = 283.5 m
Distance covered by body is 283.5 m.
[ And the force will be ]
⟹ F = m × a
⟹ F = 218 × 7
⟹ F = 1526 N
Hence, force is 1526 Newtons.