Six dogs pull a two-person sled with a total mass of 280 kg. The coefficient of kinetic friction between the sled and the snow is 0.080. The sled accelerates at 0.65 m/s2 until it reaches a cruising speed of 15 km/h. What is the team's maximum power output during the acceleration phase? What is the team's power output during the cruising phase?

Question

Physics

Zachariah Wilkins

7 September, 11:04

Six dogs pull a two-person sled with a total mass of 280 kg. The coefficient of kinetic friction between the sled and the snow is 0.080. The sled accelerates at 0.65 m/s2 until it reaches a cruising speed of 15 km/h. What is the team's maximum power output during the acceleration phase? What is the team's power output during the cruising phase?

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Camille Schmidt · Answer 1

total mass M = 280 kg

The coefficient of kinetic friction between the sled and the snow = 0.080

The sled acceleration a = 0.65 m/s2

Initial speed u = 0

cruising speed v = 15 km/h.

= 15 (1000m/3600s) = 4.166 m/s

(A). The team's maximum power output during the acceleration phase P = ?

Net force Ma = Applied force - fricitonal force

= F - Mg

From this F = Ma + Mg

= M (a+g)

= 280 (0.65 + (0.08x9.8))

= 401.52 N

So, P = Fv

= 401.52 x 4.166

= 1,672.7323 W