Question

Type the correct answer in the box. Round your answer to the nearest whole number. Calculate the man’s 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.

Answer 1

56 kg

Step-by-step explanation:

The change in potential energy of the man is given by:

`\Delta U = mg \Delta h`

where

m is the man's mass

g is the gravitational acceleration

`\Delta h` is the change in height of the man

In this problem, we have:

`\Delta U=4620 J` is the gain in potential energy

g = 9.8 m/s^2 is the gravitational acceleration

`\Delta h=8.4 m` is the change in height

Re-arranging the equation and substituting the numbers, we find the mass:

`m=(\Delta U)/(g\Delta h)=(4620 J)/((9.8 m/s^2)(8.4 m))=56 kg`