Answer:
(a) 4000 kgm/s.
(b) 80 N
Explanation:
(a) Change in momentum: This can be defined as the product of the mass of a body and its change in velocity. The S.I unit of impulse is Ns or kgm/s
Mathematically, Change in momentum is expressed as
ΔM = mΔv ..................................... Equation 1
Where ΔM = change in momentum, m = mass of the object, Δv = change in velocity = v₂ - v₁
Given: m = 200 kg, Δv = v₂ - v₁ = 25-5 = 20 m/s.
Substituting into equation 1
ΔM = 200(20)
ΔM = 4000 kgm/s.
Hence the change in momentum = 4000 kgm/s
(b)
Force: This can be defined as the ratio of the change in momentum of a body to the time required for the change.
F = ΔM/t.............................. Equation 2
Where F = force, ΔM = change in momentum, t = time.
Given: ΔM = 4000 kgm/s, t = 50 second.
Substituting into equation 2
F = 4000/50
F = 80 N.
Hence the force = 80 N
