The work done on the object is 10 J
Explanation:
According to the work-energy theorem, the work done by a conservative force on an object is equal to the change in kinetic energy of the object. Mathematically:
(1)
where
W is the work done
is the final kinetic energy
is the initial kinetic energy
In this problem, the object has initially
(initial potential energy)
(initial kinetic energy)
Then, 10 J of potential energy are converted into kinetic energy, so the final potential and kinetic energy are:
And by applying (1), we find the work done:
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Answer:
Centripetal force is equal to 31.55 N
Explanation:
We have given mass of the body m = 8 kg
Radius of the circular path r = 10 m
It is given that it makes 1 revolution in 10 seconds
Distance traveled in 10 seconds is equal to
Velocity is equal to
We have to find the centripetal force
Centripetal force is equal to
So centripetal force will be equal to 31.55 N