a body of mass 3 kg uniformly retards from 40 metre per second to 10 metre per second in 10 seconds find the retarding force
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Answer:
-15 N
Explanation:
According to the given question,
m = mass = 3 kg
u = initial velocity = 40 m/s
v = final velocity = 10 m/s
t = time = 10 sec
F = force and a = acceleration
And we are asked to find the force, but for force we need mass and acceleration. As mass is already given then we have to find acceleration.
We know,
- v = u+at
Putting the values we get,
- 10 = 40 + 10a
- 10a = 10-40
- 10a = -30
- a = - 30/10
- a = - 3 m/s^2
Thus acceleration is - 3 m/s^2. Here negative sign indicates that acceleration is opposite to the direction of motion of body i.e, deceleration.
Again, from Newton's 2nd law,
- F = ma
Putting the values we get,
- F = 3×(-5)
- F = - 15 N
Thus force is -15 N means force is opposite to the direction of motion.
As force is vector quantity we have to consider sign strictly.
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