a body of mass 5 kg is moving with a momentum of 10 kg metre per second a force of 0.2 N on it in the direction of motion of the body for 10 seconds find the increase in its kinetic energy
Answers
Answer:
you can find the answer of this by the third law of motion given by the sir Isaac Newton
Step-by-step explanation:
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Hint: Initially the body will possess some initial velocity as it has some momentum. When a force of 0.2 N acts for 10sec the velocity of the body will change as it would accelerate. After 10 sec the body will acquire a final velocity and it will be constant as long as there is no longer a force on the body. Since the kinetic energy of a body is proportional to the velocity, the energy gained will also increase. Hence we can find the initial and the final velocity and since the mass of the object does not change, substitute in the expression for kinetic energy and obtain the increase in energy.
Complete step by step answer:
Let us denote the mass of the body as m, Its initial velocity as v and its final velocity after acceleration as V. It is given in the question that the body has an initial momentum of 10kg m/s. The momentum of a body is mathematically defined as,
p=mv...(1)p=mv...(1) where m is the mass of the body and v is its velocity of motion. Hence the initial velocity (v)of the body is,
p=mv10kgm/s=5kg(v)v=2m/sp=mv10kgm/s=5kg(v)v=2m/s
Hence the initial velocity of the body is 2 m/s. further it is said that the body is subjected to a force of 0.2 N for a duration of 10 sec. By definition the rate of change of momentum of a body is equal to the force acting on the body. This can be mathematically be represented as,
F=PINITIAL−PFINALtF=PINITIAL−PFINALt, in this equation is PINITIALPINITIAL,the initial momentum of the body, PFINALPFINAL is the final momentum of the body and t is the time for which the force is exerted on the body. In the above case the initial momentum of the body is given as 10kg m/s hence its final momentum is equal to,