Question

In a front-end collision, a 1500 kg car with shock-absorbing bumpers can withstand a maximumforce of 80 000 N before damage occurs. If the maximum speed for a non-damaging collision is4.0 km/h, by how much must the bumper be able to move relative to the car

Answer 1

Answer:

The bumper will be able to move by 0.01155m.

Explanation:

The magnitude of deceleration of the car in the front end collision.

$a = \frac{F_m}{m}$

$a = \frac{80000}{1500}$

$a = 53.33$

This is the deceleration of the car that is generated to stop due to a front end collision.

4 km/h = 1.11 m/s

Now, the initial speed of the bumper in the relation of car, Vi = 0

Now, the initial speed of the bumper in the relation of car, Vf = 1.11 m/s

Use the below equation:

$s = \frac{(Intitial \ speed)^2 – (Final \ speed)^2}{2a}$

$s = \frac{(1.11)^2 – (0)}{2 \times 53.33}$

$s = 0.01155$

Thus, the bumper can move relative to the car is 0.01155 m .