which would have a greater effect on the Kinetic energy of an object, doubling the mass or doubling the velocity? Explain. An object of mass 20kg is raised to a height of 10m above the ground. If now the object is allowed to fall freely, find its Kinetic energy when it is half way down. (Take g = 10 m/s^2)
Answers
Answer:
Kinetic energy is directly proportional to the square of the velocity. Therefore, doubling the velocity has greater effect on the kinetic energy of the object than doubling its mass.
K.E =
2
1
mv
2
If mass is doubled, K.E becomes doubled (×2).
If velocity is doubled, K.E becomes quadrupled (×4).
Doubling the velocity would have a greater effect on the kinetic energy of an object because the formula contains the square of velocity.
Explanation:
Given :
Mass of the object M=20kg
Height upto which it is raised h=10 m
Potential energy P.E=Mgh
P.E=20×10×10=2000J
Let its kinetic energy be E
k
when it is half way down i.e h /2
According to conservation of energy,
K.E i +P.E i =K.E f +P.E f
0+2000=Ek + mgh/2
200= Ek+20x 10x 10/2
Ek= 2000/2
Ek= 1000J
may this answer help u. god bless u