## 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 v_{f (m/s)} in meter per second and initial velocity V_{i (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) }* (v_{f (m/s) – }v_{i (m/s)})/Δ t_{(s)}**

Where,

The mass of the body → m

The final momentum →v_{f}

The initial momentum → v_{i}

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 v_{i} = 0

Final velocity v_{f} = 5 m/s

The Average force is given by

F = m (v_{f – }v_{i})/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 (v_{f – }v_{i})/Δ t

F= 0.26 (1.6 – 0)/3 =0.1386 N.