which one of the following will possess greater momentum?
A.body having mass 100g moves with velocity of 100mm/s
B. body having mass 10g moves with velocity of 100cm/s
C.body having mass 100g moves with 10cm/s
D.body having mass 10g moves with velocity of 10m/s
Answers
Answer:
The momentum of all these bodies is the same.
Explanation:
We know that momentum = Mass * Velocity
In order to compare the values of momentum, we need the values in the same unit.
Therefore we will convert the velocity in cm of all the options.
Therefore, for A
mass = 100 g
velocity = 100mm/sec = 10cm/sec (as 1mm = 1/10cm = 0.1cm)
Thus, momentum = 100*10 = 1000 g cm/sec
Therefore, for B
mass = 10 g
velocity = 100cm/sec
Thus, momentum = 10*100 = 1000 g cm/sec
Therefore, for C
mass = 100 g
velocity = 10cm/sec
Thus, momentum = 100*10 = 1000 g cm/sec
Therefore, for D
mass = 10 g
velocity = 10m/sec = 100cm/sec (as 1m = 100cm )
Thus, momentum = 10*100 = 1000 g cm/sec
Therefore, the momentum of all these bodies is the same.
Answer:
D) Body having mass 10 g moves with a velocity of 10 m/s.
Explanation:
The momentum possessed by a body can be calculated as the product of its mass and velocity. Let 'm' be the mass of the body and 'v' its velocity. Then its momentum can be calculated using the equation:
P = mv
Let us calculate the momentum of the bodies in each case.
A) Mass of the body, m = 100 g = 0.1 Kg
Velocity of the body, v = 100 mm/s = 0.1 m/s
∴ Momentum of the boody, P = 0.1 × 0.1 = 0.01 Kgm/s
B) Mass of the body, m = 10 g = 0.01 Kg
Velocity of the body, v = 100 cm/s = 1 m/s
∴ Momentum of the boody, P = 0.01 × 1 = 0.01 Kgm/s
C) Mass of the body, m = 100 g = 0.1 Kg
Velocity of the body, v = 10 cm/s = 0.1 m/s
∴ Momentum of the boody, P = 0.1 × 0.1 = 0.01 Kgm/s
D) Mass of the body, m = 10 g = 0.01 Kg
Velocity of the body, v = 10 m/s
∴ Momentum of the boody, P = 0.01 × 10 = 0.1 Kgm/s
So the body explained in option D has a higher momentum of 0.1 Kgm/s. The other bodies has a momentum of 0.01 Kgm/s.