Question

type the correct answer in the box. round your answer to the nearest whole number. calculate the mans mass. (use pe = m × g × h, where g = 9.8 n/kg.) a man climbs a wall that has a height of 8.4 meters and gains a potential energy of 4,620 joules. his mass is about kilograms. reset next

Explanation:

Step1: Rearrange the potential - energy formula

Given $PE = m\times g\times h$, we can solve for $m$ by rearranging the formula to $m=\frac{PE}{g\times h}$.

Step2: Substitute the given values

We know that $PE = 4620\ J$, $g = 9.8\ N/kg$, and $h = 8.4\ m$. Substitute these values into the formula: $m=\frac{4620}{9.8\times8.4}$.
First, calculate $9.8\times8.4 = 82.32$. Then, $m=\frac{4620}{82.32}\approx56.12$.

Step3: Round to the nearest whole number

Rounding $56.12$ to the nearest whole number gives $m = 56$.

Answer:

56