An object of mass 100kg is accelerated uniformly from a velocity of 5m/s to 8m/s in 6s.nCalculate the initial and final momentum of the object.Also,find the magnitude of the force exerted on the object.
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An object of mass 100kg is accelerated uniformly from a velocity of 5m/s to 8m/s in 6s.nCalculate the initial and final momentum of the object.Also,find the magnitude of the force exerted on the object.
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[tex]\huge\star\underline\mathfrak\red{Answer:-}[/tex]
Given:
u = 5m/s
v= 8m/s
m= 100kg
t= 6s
mu = 100×5 = 500 kg m/s
MV= 100×8 = 800 kg m/s
F = [tex] \frac{mv - mu}{t} [/tex]
= [tex] \frac{m(v - u)}{t} [/tex]
= [tex] \frac{800 - 500}{6} [/tex]
= [tex] \frac{300}{6} [/tex]
= 50N
mass = m = 100kg
initial velocity = u = 5m/s
final velocity = v = 8m/s
Initial momentum = mu = 100×5 = 500kg m/s
Final momentum = mv = 100×8 = 800kg m/s
Force = Rate of change of momentum
= ∆p/∆t = Change in momentum/Change in time
= (800-500)/6
= 300/6 = 50N
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