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Six dogs pull a two-person sled with a total mass of 220 kg. The coefficient of kinetic friction between the sled and the snow is 0.08. The sled accelerates from rest at 0.75 m/s2 until it reaches a speed of 12 km/h. a) What is the work done by the dogs in the accelerating phase? b) What is the maximum power output by the dogs? c) What is the pulling force from the dogs (assumed to be horizontal)?

1 Answer

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Final answer:

To find the work done by the dogs in the accelerating phase, calculate the force exerted by the dogs, multiply it by the distance. The maximum power output by the dogs can be found by dividing the work done by the time taken. The pulling force from the dogs can be calculated by multiplying the combined mass of the sled and rider with the acceleration.

Step-by-step explanation:

To answer this question, we need to consider the forces acting on the sled. The dogs exert a force backwards, the friction between the sled and the snow exerts a force opposite to the direction of motion, and the sled's acceleration generates an opposing force.

a) To calculate the work done by the dogs in the accelerating phase, we can use the equation: work = force x distance. The force exerted by the dogs is the sum of their individual forces, which is equal to the total mass of the sled multiplied by its acceleration.

The distance is the distance traveled by the sled.

b) The maximum power output by the dogs can be calculated using the equation: power = work / time.

The work done by the dogs is the same as in part a, and the time is the time taken to reach the speed of 12 km/h.

c) The pulling force from the dogs can be calculated using the equation: force = mass x acceleration.

The mass is the combined mass of the sled and the rider, and the acceleration is the same as in part a.

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