1.If the mass of a body is doubled and its velocity becomes half, then the linear momentum of the body will _______.
a. remain same.
b. become double.
c. become half.
d. become four times.
Answers
Answer:
1.If the mass of a body is doubled and its velocity becomes half, then the linear momentum of the body will remain same.
Answer:
is doubled because
Explanation:
Relation between velocity and kinetic energy
KE=12×mv2
Where, KE is the kinetic energy, m is the mass, v is the velocity.
KE=12×mv2
If the velocity is doubled,
KE=12×m(2v)2
Squaring the terms inside the bracket,
KE=12×m(4v2)
By arranging the above equation,
KE=4×(12×mv2)
By this equation, we clearly understand that the velocity is doubled then the kinetic energy becomes 4 times.
Relation between velocity and acceleration
Acceleration is the rate of change of velocity with respect to time. If the velocity is doubled, then it is due to acceleration only. In other words, by changing the acceleration, the velocity is doubled. So, if the velocity is doubled, the acceleration will not double.
Relation between velocity and momentum
By Linear momentum equation,
p=m×v
Where, p is the momentum, m is the mass, v is the velocity.
p=m×v
As the velocity is doubled,
p=m×(2v)
By arranging the above equation,
p=2(mv)
From the above equation, it is clear that the velocity is doubled then the momentum also doubled.
Relation between velocity and potential energy:
Actually, there is no relationship between velocity and potential energy. If the potential energy is changed to kinetic energy, then there is a relation between velocity and kinetic energy
Soooo option B is correct
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