Answer:
(a) 5610 kgm/s
(b) 5610 Ns.
(c) 78. 64 N
Explanation:
a. Change in momentum: This can be defined as the product of the mass of a body to its change in velocity. The S.I unit of change in momentum is kgm/s.
Mathematically, change in momentum is expressed as
ΔM = mΔv......................... Equation 1
Where ΔM = change in momentum, m = mass of snowmobile, Δv = change in velocity.
Given: m = 330 kg, Δv = v₂-v₁ = 23-6 = 17 m/s.
Note: v₁ and v₂ are the initial and the final velocity of the snowmobile.
ΔM = 330(17)
ΔM = 5610 kgm/s.
(b) Impulse: This can be defined as the product and force and time. The S.I unit of impulse is Ns.
Note: From Newton's second law of motion, impulse is equal to change in momentum.
Therefore,
I = ΔM................ Equation 2
Where I = impulse of the force.
Since ΔM = 5610 kgm/s.
Therefore
I = 5610 Ns.
Thus the impulse = 5610 Ns.
(c) Force: This can be defined as the product of the mass of a body and its acceleration. The S.I unit of force is Newton (N).
F = ma ................................. Equation 3
F = force, m = mass of the body, a = acceleration
But,
a = ( v₂-v₁)/t
Where v₂ = 23.0 m/s, v₁ = 6.0 m/s t = 60.0 s.
a = (23-6)/60
a = 0.283 m/s².
Substituting the value a and m into equation 3
F = 330(0.2383)
F = 78.639 N.
F ≈ 78. 64 N
