hiker a has a body mass of 60 kg and carries a 10 - kg pack. hiker b has a body mass of 70 kg and carries a…
hiker a has a body mass of 60 kg and carries a 10 - kg pack. hiker b has a body mass of 70 kg and carries a 20 - kg pack. at the top of the mountain theyre climbing, which hiker has the most gravitational potential energy?\nhiker a has the most gravitational potential energy.\nhiker b has the most gravitational potential energy.\nthey have the same gravitational potential energy.\nthere is not enough information to know.
Answer
Explanation:
Step1: Calculate total mass of Hiker A
Total mass of Hiker A = Body mass+Pack mass = 60 kg + 10 kg = 70 kg
Step2: Calculate total mass of Hiker B
Total mass of Hiker B = Body mass+Pack mass = 70 kg+20 kg = 90 kg
Step3: Recall gravitational - potential - energy formula
The gravitational potential energy formula is $U = mgh$, where $U$ is gravitational potential energy, $m$ is mass, $g$ is acceleration due to gravity (constant near the Earth's surface), and $h$ is height. Since they are at the same height (top of the mountain) and $g$ is constant, the hiker with the greater mass has more gravitational potential energy.
Answer:
B. Hiker B has the most gravitational potential energy.