Correct Answer - Option 3 :
40 kg ms-1
Concept:
Momentum: It is the capacity to make objects move in the direction of their motion.
- Linear momentum is the product of the mass and velocity of an object.
- It is a vector quantity having SI unit kg m s-1 and dimensions [MLT-1].
- The momentum of the body is always in the same direction as the velocity.
Linear momentum is given by,
\({\bf{\vec p}} = {\bf{m}}.{\bf{\vec v}}\)
Where
m = mass of the object in kg.
v = velocity of object in m/s.
For one dimensional with uniform acceleration, we can use equation
v = u + at
\({\rm{s}} = {\rm{ut}} + {\rm{\;}}\frac{1}{2}{\rm{a}}{{\rm{t}}^2}\)
v2 = u2 + 2as
Where,
u = initial velocity in m/s, v = final velocity in m/s.
s = displacement of an object in meter, a = acceleration in m/s2
t = time in seconds.
Calculation:
Given
mass of dum-bell m = 10 kg
Initial height s = 80 cm
Initial velocity u = 0
gravitational acceleration g = 10 m/s2
By using the equation
v2 = u2 + 2as
v2 = 0 + 2×10×0.8
v = 4 m/s
Now momentum transfer
P = m.v
P = 10× 4
P = 40 kg-ms-1
Hence, there will be a 40 kg-ms-1 momentum transfer.
