The water skier has a mass of 73 kg. Find the magnitude of the
netforce acting on the skier when A) she is accelerating from rest
toa speed of 11m/s in 8.0s (she is being pulled by a boat) B)
shelets go of the tow rope and glides to a halt in 21s.

Respuesta :

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,

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

Force is the proportional change between mass and acceleration therefore

[tex]F = (73)(1.375)[/tex]

[tex]F= 100.375N[/tex]

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

[tex]a = \frac{V}{t}\\a = \frac{11}{21}\\a = 0.5238[/tex]

Now the force

[tex]F = (73)(0.5238)[/tex]

[tex]F = 38.23N[/tex]