Chapter MPS, Problem 7.5MPS

(a)

To determine

To Find: The inverse of the given function.

Answer to Problem 7.5MPS

  $\frac{F}{m}$

Explanation of Solution

Given:

  $\begin{array}{l}F=\text{Force in newtons}\\ m=\text{Mass of an object}\\ a=\text{Acceleration of an object}\end{array}$

Formula Used:

  $F=ma$

Calculation:

  $\begin{array}{l}F=ma\\ let,F=f\left(x\right)\\ \Rightarrow f^{\prime }\left(x\right)=a=\frac{F}{m}\end{array}$

Conclusion:

Thus the inverse of given function is $\frac{F}{m}$ .

(b)

To determine

To Find: The acceleration of Colby and his sled.

Answer to Problem 7.5MPS

  $5km/h^2$

Explanation of Solution

Given:

  $\begin{array}{l}F=\text{Force in newtons}\\ m=\text{Mass of an object}\\ a=\text{Acceleration of an object}\\ F=275newtons\\ m=55kg\end{array}$

Formula Used:

  $F=ma$

Calculation:

  $\begin{array}{l}F=ma\\ let,F=f\left(x\right)\\ \Rightarrow f^{\prime }\left(x\right)=a=\frac{F}{m}\\ \Rightarrow a=\frac{275}{55}=5km/h^2\end{array}$

Conclusion:

Thus the required acceleration is $5km/h^2$ .