Question

The water skier has a mass of 73 kg. Find the magnitude of the

Answer 1

To solve this problem we will apply the linear motion kinematic equations, specifically the concept of acceleration as a function of speed and time, as well as Newton's second law.

PART A) Acceleration can be described as changing the speed in a period of time therefore,

$a = \frac{V}{t}\\a = \frac{11}{8}\\a = 1.375m/s^2$

Force is the proportional change between mass and acceleration therefore

$F = (73)(1.375)$

$F= 100.375N$

PART B) We will apply the same concept given but now we will change the time to 21s therefore:

$a = \frac{V}{t}\\a = \frac{11}{21}\\a = 0.5238$

Now the force

$F = (73)(0.5238)$

$F = 38.23N$