## Related questions with answers

Question

What are the mass and weight of $(a)$ a $1420$-lb snowmobile and $(b)$ a $412$-kg heat pump?

Solution

VerifiedStep 1

1 of 3$\text{\textcolor{#c34632}{(a.)}}$ Use conversion factor of force to express the values in desired units.

With $1 \text{ lb} = 4.448 \text{ N}$, we get

$W = (1420 \text{ lb}) \left( 4.448 \mathrm{~\dfrac{N}{lb}}\right) = 6320 \text{ N}$

The formula of weight is defined by

$W = mg$

Solving for $m$, we find

$\begin{align*} m = \dfrac{W}{g} = \dfrac{6320 \mathrm{~\dfrac{kg \cdot m}{s^2}}}{9.8 \mathrm{~\dfrac{m}{s^2}}} = 646 \text{ kg} \end{align*}$

$\boxed{\therefore W = 6320 \text{ N}, m =646 \text{ kg} }$

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