A classical mechanics problem by akwesi barnes

A driver in a car moving with a velocity of 20m/s saw a crowd of demonstrators. when the car was 120m away from the crowd, the driver applied the brakes and the car decelerated at 2m/s.determine whether or not the car hit anyone in the crowd!if no then!, determine the distance from the demonstrators to where the car stopped


The answer is 20.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Rama Devi
Aug 4, 2015

To determine whether the car has hit any person , we need to find the distance it travels after applying the brakes.

From the problem , we know that

u = 20 m / s u=20m/s

v = 0 m / s v=0m/s

a = 2 m / s 2 a=-2m/s^2

From third equation of motion ,

v 2 u 2 = 2 a s v^2-u^2=2as

Plugging in the values , we get s = 100 m , s=100m, indicating that the car did not hit any person.

Therefore our required answer is the distance from the crowd the car stops. Answer = 120 100 m = 20 m . 120-100m = 20m.

Therefore the answer is 20 m . 20m.

Great solution

Sai Ram - 5 years, 10 months ago
Akwesi Barnes
Aug 4, 2015

To know whether there was anyone knocked down by the car, there is the need to find the distance for the car travelled after the brake was applied before it finally came to stop.initial velocity, u=20m/s;final velocity, v=0m/s;retardation, a=-2m/s. using the 3rd equation,v^2=u^2+2as. s=(v^2-u^2)divided by2a. s=100m.therefore if the distance was 120m then the car stopped 20m away from the demonstrators

Use LaTeX

Rama Devi - 5 years, 10 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...