If the mass of a body is doubled and its velocity becomes half,
then the linear momentum of the body will
Answers
Answer :-4 times
simple rules for momentum... Mass and velocity are both directly proportional to the momentum. If you increase either mass or velocity, the momentum of the object increases proportionally. If you double the mass or velocity you double the momentum.
Given,
Mass of a body is doubled.
Velocity is halved.
To find,
Change in momentum.
Solution,
We can simply solve this numerical problem by using the following process.
Let,
The initial mass = m kg
The initial velocity = v m/s
Linear Momentum = Mass × velocity
So,
Initial linear momentum = m×v = mv kg.m/s
Similarly,
The final mass = 2×m = 2m kg
The final velocity = v/2 m/s
Final linear momentum = 2m × v/2 = mv kg.m/s
Here,
Initial linear momentum = Final linear momentum
Hence, the linear momentum of the body will remain same.