Question

a large truck is moving at 22.0 m/s. if its momentum is 125,000 kg·m/s, what is the trucks mass? 176 kg 2750 kg 5680 kg 11,400 kg

Explanation:

Step1: Recall momentum formula

The formula for momentum is $p = mv$, where $p$ is momentum, $m$ is mass and $v$ is velocity. We need to solve for $m$, so we can re - arrange the formula to $m=\frac{p}{v}$.

Step2: Substitute given values

We know that $p = 125000\ kg\cdot\frac{m}{s}$ and $v=22.0\ m/s$. Substituting these values into the formula $m=\frac{p}{v}$, we get $m=\frac{125000}{22.0}\ kg$.

Step3: Calculate the mass

$m=\frac{125000}{22.0}\approx5681.82\ kg\approx5680\ kg$ (rounded to the nearest ten).

Answer:

C. 5680 kg