a body of mass 10kg initially at rest is subjected to force of 40N. what is the kinetic energy acquired by the body at the end of 10second
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Answer:
The kinetic energy acquired by the body at the end of 10s is 2000 Joules.
Explanation:
Given:
- Mass of the body, m = 10kg.
- Force acting on a body, F = 20N.
- Body is initially at rest, u = 0.
To Find:
The kinetic energy acquired by the body at the end of 10 sec.
Solution:
To find the Kinetic energy (KE) = ?
First we need to find the final speed of the body.
Using equation of motion,
V = u + at
=> V = u + at
=> V = at ------- {As F = ma}
=> V = 20×10/10
=> V = 200/10
=> V = 20 m/s.
Therefore,
Final speed of the body is 20 m/s.
Now,
KInetic energy (KE) acquired by the body at the end of 10 sec,
KE = 1/2 mv²
=> KE = 1/2 mv²
=> KE = 1/2 × 10 × (20)²
=> KE = 5 × (20)²
=> KE = 5 × 400
=> KE = 2000 J.
Therefore,
The kinetic energy acquired by the body at the end of 10 sec is 2000 Joules.
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