Jennifer, who has a mass of 40.0 kg, is riding at 25.0 m/s in her red sports car when she must suddenly slam on the brakes to avoid hitting a deer crossing the road. She strikes the seat belt, that brings her body to a stop in 0.400 s. What average force does the seat belt exert on her?

Question

Physics

Francisco Adkins

28 January, 23:56

Jennifer, who has a mass of 40.0 kg, is riding at 25.0 m/s in her red sports car when she must suddenly slam on the brakes to avoid hitting a deer crossing the road. She strikes the seat belt, that brings her body to a stop in 0.400 s. What average force does the seat belt exert on her?

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Answers (1)

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Amaris Holland · Answer 1

The seat belt exert an average force of 2500 N on Jennifer

Explanation:

Force: Force can be defined as the product of mass and acceleration/deceleration. The S. I unit of force is Newton (N). Mathematically it is expressed as

Force (F) = Mass (m) * deceleration (d)

F = md ... Equation 1

But,

Deceleration: Acceleration can be defined as the rate of change of velocity.

mathematically it can be represented as,

d = u-v/t (deceleration) ... Equation 2

Where v = final velocity, u = initial velocity, t = time.

Given: u = 25 m/s, v = 0 m/s, t = 0.4 s.

Substituting these values into Equation 2

d = (25-0) 0.4

d = 62.5 m/s²

Also given: m = 40.0 kg. and d = 62.5 m/s²

Substituting these values into equation 1,

F = 40*62.5

F = 2500 N

The seat belt exert an average force of 2500 N on Jennifer