Chapter 6, Problem 4STP

To determine

To Choose: The correct option.

Answer to Problem 4STP

C. $5.0\times {10}^3\text{}\text{N}$

Explanation of Solution

Given:

The car of the mass 1000-kg enters an 80 m radius curve at 20.0 m/s.

Formula used:

The centripetal force acting on an object is given by,

  $F=m{a}_c$

Where, $a_c=\frac{v^2}{r}$ is the centripetal acceleration, $v$ is the velocity of the object and r is the radius.

Calculation:

Using the above mentioned formula and the given values, the centripetal force to be supplied by the friction will be,

  $\begin{array}{c}F=F_c=m{a}_c=\frac{m{v}^2}{r}\\ F=\frac{1000{\left(20\right)}^2}{80}\\ =5.0\times {10}^3\text{N}\end{array}$

Conclusion:

Thus, the required centripetal force is $5.0\times {10}^3\text{N}$ .