Question

A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing its speed from 0 to 4.60 m/s in 0.888 s. What are the magnitudes of the linear impulse and the average total force experienced by a 74.0 kg passenger in the car during the time the car accelerates

Answer 1

Answer:

(a).The value of force applied on the car during acceleration F = 383.32 N

(b).The value of impulse on the car  I = 340.4 N-sec

Explanation:

Acceleration of the car  $a = \frac{4.6}{0.888}$ = 5.18 $\frac{m}{s^{2} }$

Mass of the passengers = 74 kg

Total force experienced by the car = mass  × acceleration

⇒ F = m × a

Put the values of mass & acceleration in the above formula we get

Force F = 74 × 5.18

⇒ F = 383.32 N

This is the value of force applied on the car during acceleration.

linear Impulse is given by I = F × Δt

Where F = force applied on the car

Δt  = time interval upon which the force is applied on the car

⇒ I = 383.32 × 0.888

⇒ I = 340.4 N-sec

This is the value of impulse on the car.