A car is stopped for a traffic signal. When the light turns green, the car accel

Question

A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing its speed from 0 to 5.71 m/s in 0.864 s. What is the magnitude of the linear impulse experienced by a 74.8 kg passenger in the car during this time? (in kg*m/s) A: 1.67 x1021 -B: 1.95x102| -C: 2.28x102| -D: 2.67x10-E: 3.12x102|-F: 3.65x10-G: 4.27x102||-H: 5.00×102 Submit Answer Tries 0/3 What is the average force experienced by the passenger? (in N) A: 1.04x102 OB: 1.30x102C: 1.62x102OD: 2.02x102 OE: 2.53x102OF: 3.16x102G: 3.95x102OH: 4.94x102 Submit Answer Tries 0/3

Explanation / Answer

Given

Mass of the passenger m = 74.8 Kg

Initial velocity v1 = 0 m/s

Final velocity v2 = 5.71 m/s

Time period t = 0.864 s

Solution

i)

Impulse

J = mv

J = m (v2 – v1)

J = 74.8 (5.71-0)

J = 427.108 Kgm/s

J = 4.27 x 102 kgm/s

Answer is G: 4.27 x 102

ii)

Force experience by the car

F = ma

F = mv/t

F = J/t

F = 4.27 x 102 / 0.864

F = 494.3 N

F = 4.94 x 102 N

Answer is H: 4.94 x 102

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