Advertisements
Advertisements
Question
A heavy truck and bike are moving with the same kinetic energy. If the mass of the truck is four times that of the bike, then calculate the ratio of their momenta. (Ratio of momenta = 2:1)
Advertisements
Solution
Given: Let m1, m2 are the masses of truck and bike.
m1 = 4m2
Here kinetic energies of both truck and bike are the same
`"m"_1"v"_1^2` = `"m"_2"v"_2^2`
`4"m"_2"v"_1^2` = `"m"_2"v"_2^2`
`"v"_1/"v"_2` = `1/2`
V2 = 2v1
Ratio of momenta: `"P"_1/"P"_2` = `("m"_1"v"_1)/("m"_2"v"_2)` = `(4"m"_2)/"m"_2`. `"v"_1/(2"v"_1)` = 2
P1 : P2 = 2 : 1.
APPEARS IN
RELATED QUESTIONS
With which physical quantity should the speed of a running bull be multiplied so as to obtain its momentum ?
Fill in the following blank with suitable word :
(a) ………………is a measure of the inertia of a body.
Calculate the momentum of the following :
(a) an elephant of mass 2000 kg moving at 5 m/s
(b) a bullet of mass 0.02 kg moving at 400 m/s
Why do the passengers in a bus tend to fall backward when it starts suddenly ?
A water tanker filled up to `2/3` of its tank with water is running at a uniform speed. When the brakes are suddenly applied, the water in its tank would
Name the factor on which the inertia of a body depends and state how does it depend on the factor stated by you .
Why does a ball thrown vertically upwards in a moving train , come back to the thrower's hand ?
Passengers lean forward when a sudden brake is applied in a moving vehicle. This can be explained by ________.
Two bodies have a mass ratio of 3:4 The force applied on the bigger mass produces an acceleration of 12 ms-2. What could be the acceleration of the other body, if the same force acts on it.
What are the types of inertia? Give an example for each type.
