Average Force Formula with Sample Examples

Average Force Formula :

Average Force formula F(N) in Newton is equal to product of mass of the body m(kg/s) in kilogram second and multiply the final velocity vf (m/s) in meter per second and initial velocity Vi (m/s) in meter per second and divided by change in time Δ t(s) in second. Hence the Average Force formula can be written as

F(N) = m(kg/s) * (vf (m/s) – vi (m/s))/Δ t(s)

Where,

The mass of the body → m

The final momentum →vf

The initial momentum → vi

The change in time→ Δ t.

The Average Force Formula aids one in getting the rate of change of momentum for any number of time intervals  (Δ t).

Expressed in Newton (N).

Sample Examples:

Example 1:

Calculate average force? In a child throws bowling ball having a mass of 6 kg and it rolls with a velocity of 5 m/s for 2 s.

Solution :

Known: Mass of bowling ball m = 6 kg,
Initial velocity vi = 0
Final velocity vf = 5 m/s

The Average force is given by

F = m (vf – vi)/Δ t

F = 6 (5-0)/2

F= 15 N

Example 2:

Calculate the average force? in a rubber ball of mass 0.26 kg rolls over the gravel with velocity 1.6 m/s and halts after 3 s.

Solution :

Known,

m = 0.26 kg, (Mass of the ball)
v = 1.6 m/s, (Velocity of ball)

The Average force is given by

F = m (vf – vi)/Δ t

F= 0.26 (1.6 – 0)/3 =0.1386 N.

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