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

The bumper will be able to move by 0.01155m.

Step-by-step explanation:

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

`a = (F_m)/(m) \\`

`a = (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 = ((Intitial \ speed)^2 – (Final \ speed)^2)/(2a) \\`

`s = ((1.11)^2 – (0))/(2 * 53.33) \\`

`s = 0.01155 \\`

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