Question

Force

A car is on a driveway that is inclined $25°$ to the horizontal. If the car weighs $2755lb$, find the force required to keep it from rolling down the driveway.

Short answer

The force required is$F=1164.3\text{lb}$

Step-by-step solution

Step 1. Given information

The driveway is inclined at ${10}^{°}$ to the horizontal and the car is on

Step 2. Concept used                                                                           

The force required to keep the car rolling down the driveway is the component of weight along u

$F=mg\cos \theta$which is the component along of weight along u

Calculate to get the desired result.

Step 3. Calculation

The magnitude of force required to keep the car rolling is as follows-

$F=\text{W}\cos \theta$(It is component of W along u and makes an angle of $90°-25°=65°$ )

$\begin{array}{l}F=2755\cos {65}^{{}^{°}}\\ F=1164.3\text{lb}\end{array}$