Question

Kasek rides his bicycle down a 6.0° hill (incline is

6° with the horizontal) at a steady speed of 4.0
m/s. Assuming a total mass of 75 kg (bicycle and
Kasek), what must be Kasek's power output to
climb the same hill at the same speed? ​

Answer 1

P = 2923.89 W

Step-by-step explanation:

Power is

P = F v

for which we must calculate the force, let's use Newton's second law, let's set a coordinate system with a flat parallel axis and the other axis (y) perpendicular to the plane

X Axis

F - Wₓ = 0

F = Wₓ

Y Axis

N -
`W_(y)` = 0

let's use trigonometry for the components of the weight

sin 6 = Wₓ / W

cos 6 = W_{y} / W

Wₓ = W sin 6

W_{y} = W cos 6

F = mg cos 6

F = 75 9.8 cos 6

F = 730.97 N

let's calculate the power

P = F v

P = 730.97 4.0

P = 2923.89 W