Chapter 1, Problem 1P

(a)

To determine

Determine the mass of car in slugs.

Answer to Problem 1P

The mass of car is $\text{108}\text{.6}\text{slugs}$.

Explanation of Solution

Express the mass of car.

$W=mg$ (I)

Here, weight and mass of car is $W\text{and}m$ respectively, and acceleration due to gravity is $g$.

Conclusion:

Substitute $\text{32}\text{.2}\text{ft}/{\text{s}}^{\text{2}}$ for $g$ and $\text{3500}\text{lb}$ for $W$ in Equation (I)

$\begin{array}{l}\text{3500}\text{lb}=m\left(\text{32}\text{.2}\text{ft}/{\text{s}}^{\text{2}}\right)\\ m=108.6\text{slugs}\end{array}$

Hence, the mass of car is $\text{108}\text{.6}\text{slugs}$.

(b)

To determine

Determine the weight of car in newtons.

Answer to Problem 1P

The weight of car is $\text{15}\text{.568}\text{kN}$.

Explanation of Solution

Express the weight of car.

$\begin{array}{c}W=3500\text{lb}\\ =3500\text{lb}\left[\frac{\text{4}\text{.4482}\text{N}}{\text{lb}}\right]\\ =15568.7\text{N}\left[\frac{\text{kN}}{\text{1000}\text{N}}\right]\\ =15.568\text{kN}\end{array}$

Hence, the weight of car is $\text{15}\text{.568}\text{kN}$.

(c)

To determine

Determine the mass of car in kilograms.

Answer to Problem 1P

The mass of car is $\text{1584}\text{.89}\text{kg}$.

Explanation of Solution

Express the mass of car.

$\begin{array}{c}m=108.6\text{slugs}\\ =108.6\text{slugs}\left[\frac{\text{14}\text{.5939}\text{kg}}{\text{slugs}}\right]\\ =1584.89\text{kg}\end{array}$

Hence, the mass of car is $\text{1584}\text{.89}\text{kg}$.