Ask Question
4 July, 10:38

A man with a mass of 65 kg skis down a frictionless hill that is 4.7 m high. At the bottom of the hill the terrain levels out. As the man reaches the horizontal section, he grabs a 23 kg backpack and skis off a 1.7 m high ledge. At what horizontal distance from the edge of the ledge does the man land?

+4
Answers (1)
  1. 4 July, 11:13
    0
    Answer: 4,85 meters

    Step-by-step explanation:

    Using energy we get the velocity when the man gets to the bottom of the hill

    mgh=1/2 m v^2

    Then the velocity is the squareroot of two times the mass times the gravity constant = 9,598 m/s2

    Using energy again, we can get the velocity on the edge of the ledge (using the second mass, the one of the man plus the backpack)

    1/2 M1 V1^2=1/2 M2 V2^2

    We get V2=8,24 m/s2

    Then we have to analyze the jump, horizontally, with constant velocity, and vertically, with constant acceleration equals to the gravity constant.

    To get the time we analyze the vertical move

    Y=1/2 g t^2

    t=59 seconds

    To get the horizontal distance we use

    X = v t

    X=4,85 meters.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A man with a mass of 65 kg skis down a frictionless hill that is 4.7 m high. At the bottom of the hill the terrain levels out. As the man ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers