Answer:
F = 1183 N
Explanation:
Given,
The mass of the skier, m = 91 Kg
The initial speed of the skier, u = 0 m/s
The final speed of the skier, v = 13 m/s
The distance traveled by the skier, d = 23 m
The velocity and displacement relation is given by the formula
v = d/t m/s
∴ t = d/v s
Substituting the given values in the above equation
t = 23 / 13
= 1.769 s
Therefore, the acceleration of the skier,
a = (v-u)/t
= (23 - 0)/ 1.769
= 13 m/s²
The force acting on the skier is given by the formula
F = ma N
= 91 Kg x 13 m/s²
= 1183 N
Hence, the bet force exerted on the skier, assuming his acceleration is constant is, F = 1183 N