Question

Can cars stop on a dime? Calculate the acceleration of a 1400 kg car if it can stop from 35 km/h on a dime (diameter= 1.7 cm) how many g’s is this?

Answer 1

Answer:

The acceleration of the cart is 283.54g

Explanation:

It is given that,

Initial speed of the car, u = 35 km/h = 9.72 m/s

Finally, it stops, v = 0

Diameter of the dime, d = 1.7 cm

Let a is the acceleration of the car. Using third equation of motion to find it as :

$v^2-u^2=2ad$

$-u^2=2ad$

$a=\dfrac{-u^2}{2d}$

$a=-\dfrac{(9.72)^2}{2\times 1.7\times 10^{-2}}$

$a=-2778.77\ m/s^2$

So, the acceleration of the car is $2778.77\ m/s^2$ and it is decelerating.

Since, $g=9.8\ m/s^2$

So, $a=\dfrac{2778.77}{9.8}=283.54\ g$

So, the acceleration of the cart is 283.54g. Hence, this is the required solution.