Physical Science Motion and Forces: Calculating Force on an Object

What is the force on an object that goes from 35(m)/(s) to 85(m)/(s) in 20 seconds and has a mass of 148kg?

Can you explain how to calculate the force on an object with the given data?

Calculating Force on an Object

The force on an object that goes from 35 m/s to 85 m/s in 20 seconds and has a mass of 148 kg is 370 N. Force on an object is defined as the rate of change of momentum of the object.

Momentum is the product of the mass of the object and its velocity. In other words, F = Δp / Δt Where F is the force applied, Δp is the change in momentum, and Δt is the change in time.

The initial velocity of the object is 35 m/s, the final velocity of the object is 85 m/s, and the change in time is 20 seconds. Therefore, the acceleration of the object can be calculated as follows:

a = (v_f - v_i) / t = (85 - 35) / 20 = 2 m/s^2

The momentum of the object can be calculated as follows: p = m * v = 148 * 85 = 12,580 Ns

The initial momentum of the object can be calculated as follows: p_i = m * v_i = 148 * 35 = 5,180 Ns

The change in momentum can be calculated as follows: Δp = p_f - p_i = 12,580 - 5,180 = 7,400 Ns

Finally, the force on the object can be calculated as follows: F = Δp / Δt = 7,400 / 20 = 370 N

Therefore, the force on the object that goes from 35 m/s to 85 m/s in 20 seconds and has a mass of 148 kg is 370 N.