Answer:
h = 40.37 m
Explanation:
We will apply the law of conservation of energy to the skier in this case, as follows:

where,
m = mass of skier = 77 kg
g = acceleration due to gravity = 9.81 m/s²
vf = final speed = 30 m/s
vi = initial speed = 2 m/s
W_friction = Work done by friction and air resistance = 4000 J
Therefore,
![(77\ kg)(9.81\ m/s^2)h = \frac{1}{2}(77\ kg)[(30\ m/s)^2-(2\ m/s)^2] - 4000\ J\\\\h = \frac{34496\ J - 4000\ J}{755.37\ N}\\\\](https://tex.z-dn.net/?f=%2877%5C%20kg%29%289.81%5C%20m%2Fs%5E2%29h%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2877%5C%20kg%29%5B%2830%5C%20m%2Fs%29%5E2-%282%5C%20m%2Fs%29%5E2%5D%20-%204000%5C%20J%5C%5C%5C%5Ch%20%3D%20%5Cfrac%7B34496%5C%20J%20-%204000%5C%20J%7D%7B755.37%5C%20N%7D%5C%5C%5C%5C)
<u>h = 40.37 m</u>
Answer:
Mass is how much matter an object contains. Mass and weight are different measurements, although they may seem similar. Mass is measured by comparing one object to another object of known mass. Grams and kilograms are units we use to measure mass.