Question

PLEASE HELP MEE THIS IS DUE IN 45 MINS

Answer 1

Answer:

The distance travelled does not depend on the mass of the vehicle. Therefore, $s = d$

Explanation:

This deceleration situation can be analyzed by means of Work-Energy Theorem, where change in translational kinetic energy is equal to the work done by friction:

$\frac{1}{2}\cdot m\cdot v^{2}-\mu\cdot m\cdot g \cdot s = 0$ (1)

Where:

$m$ - Mass of the car, in kilogram.

$v$ - Initial velocity, in meters per second.

$\mu$ - Coefficient of friction, no unit.

$s$ - Travelled distance, in meters.

Then we derive an expression for the distance travelled by the vehicle:

$\frac{1}{2}\cdot v^{2} = \mu \cdot g \cdot s$

$s = \frac{v^{2}}{\mu\cdot g}$

As we notice, the distance travelled does not depend on the mass of the vehicle. Therefore, $s = d$