Advertisements
Advertisements
प्रश्न
A light and a heavy object have the same momentum. Find out the ratio of their kinetic energies. Which one has larger kinetic energy?
Advertisements
उत्तर
Let m and M be the masses of light and a heavy object moving with velocities v and V respectively.
As both have the same momentum,
∴ mv = MV
or `"M"/"V'` .........(i)
The kinetic energy of a light object,
`"K"_"m" = 1/2 "mv"^2`
The kinetic energy of a heavy object,
`"K"_"m' = 1/2 "mV"^2`
The kinetic energy of a heavy object,
`"K"_"M" = 1/2 "MV"^2`
∴ `("K"_"m")/("K"_"m") = (1/2 "mv"^2)/(1/2 "MV"^2)`
= `"m"/"M" xx ("M"/"m")^2`
= `"M"/"m"` (Using (i))
As M>m;
Km > KM, i.e. light object has larger kinetic energy.
APPEARS IN
संबंधित प्रश्न
State the energy changes in the following case while in use:
A ceiling fan
State the energy changes that occur in the following :
The unwinding of a watch spring.
Energy can exist in several forms and may change from one form to another. State the energy changes that occur in the Charging of a battery.
Energy can exist in several forms and may change from one form to another. State the energy changes that occur in the burning of a match stick.
Energy can exist in several forms and may change from one form to another. State the energy changes that occur in the Explosion of crackers.
State the energy changes in the following case while in use:
a steam engine
State the energy changes in the following case while in use:
Microphone
Choose the odd one:
The velocity of a body moving in a straight line is increased by applying a constant force F, for some distance in the direction of the motion. Prove that the increase in the kinetic energy of the body is equal to the work done by the force on the body.
In an electric cell while in use, the change in energy is from ______.
