Question

An obejct of mass 100kg is accelerated uniformly from a velocity of 5m/s to 1 m/s in 6s calculate initial and final momentum of the object and the magnitude of force

Answer 1

nitial momentum=mass*initial velocity=(100*5)=500kg m/s

Final momentum=mass*final velocity=(100*1)= 100 kg m/s

Force=Rate of change of momentum

Force=  (500-100)/6 = 66.67 N

The object is decelerating as the change in momentum is negative...

Answer 2

Solution

Given that an object of mass 100kg is accelerated uniformly from a velocity of 5m/s to 1 m/s in 6s

We have to find initial and final momentum of the object and the magnitude of force.

Explanation

At first to find initial momentum :

→ Initial momentum = m × u

→ Initial momentum = 100 × 5

→ Initial momentum = 500 kg m/s [Ans : 1]

Now to find final momentum :

→ Final momentum = m × v

→ Final momentum = 100 × 1

→ Final momentum = 100 kg m/s [Ans : 2]

Now to find magnitude of force :

→ Force = Mass × Acceleration

→ Force = 100 × (1 - 5)/6

→ Force = 100 × (-4/6)

→ Force = 100 × (-2/3)

→ Force = -200/3

→ Force = -66.67 N [Ans : 3]

Therefore,

Magnitude of force = 66.67 N in opposite direction.