The answers are bracketed to the right of each question. Please be very descript

Question

The answers are bracketed to the right of each question. Please be very descriptive in explaining how to find each answer!

1) During gym class, a 50-kg teenager runs at 8.0 m/s along the floor toward a rope hanging 7.8 m
from the ceiling. He grabs the end of the rope and swings upward. The teen rises to a maximum height
H above the point where he grabbed the rope.

(A) What is H? [3.26 m]
(B) What is the tension in the rope at the moment he begins to swing upward? [900 N]
(C) Suppose the teen rises only to a height of 2.7 m. How much energy is lost to friction? [277 J]

Explanation / Answer

k.e = p.e

1/2mv^2 = mgH

H = 3.265 m

b. tension = mg

= 490N

c. energy lost = mg(3.26 -2.70)

= 277 J

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