An object of mass 100 kg is accelerated uniformly from a velocity of 5 ms-1 to 8 ms-1 in 6 s. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.
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Answers
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Given,
mass = 100Kg
vi = 5m/s
vf=8m/s
P = momentum = MV
P1 = 100*5 = 500Kg m/s
p2 = 100*8 = 800kg m/s
Force = Rate of change of momentum
F = 800-500/ 6 = 50N
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#Jaihind
MOMENTUM : Is defined as product of mass and velocity and having the same direction as that of the velocity.
It is represented by the letter p . Given by p = m × v, where m is mass and v is a velocity.
The S.I unit is Kgm/s.
- m = 100 kg
u = 5 m/s
v = 8 m/s
t = 6s
p₁ = ?
p₂ = ?
F = ?
Initial momentum p₁ = mu
= 100 × 5
= 500 kg m/s
Final Momentum p₂ = mv
= 100 × 8
= 800 kg m/s
Force exerted on the object F = ma
= 100 ( v - u / t )
= 100 ( 8 - 5 / 6 )
= 100 × 3/6