Question

PLEASE HELP MEE THIS IS DUE IN 45 MINS

Answer 1

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

Step-by-step 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:

`(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:

`(1)/(2)\cdot v^(2) = \mu \cdot g \cdot s`

`s = (v^(2))/(\mu\cdot g)`

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