High School

A team of eight dogs pulls a sled with waxed wood runners on wet snow. The dogs have average masses of 18.5 kg each, and the loaded sled with its rider has a mass of 208 kg. The coefficients of static and kinetic friction are 0.14 and 0.10, respectively.

Calculate the acceleration starting from rest if each dog exerts an average force of 155 N backward on the snow. Provide your answer in m/s².

Answer :

Final answer:

The sled will accelerate at a rate of 2.14 m/s² when each dog exerts an average force of 155 N backward on the snow.

Explanation:

To calculate the acceleration of the sled, we need to determine the net force acting on it. The net force is the sum of the forces exerted by the dogs. Each dog exerts a force of 155 N backward on the snow.

First, let's calculate the total force exerted by the dogs. Since there are eight dogs, the total force is 8 times the force exerted by each dog:

Total force = 8 dogs * 155 N/dog = 1240 N

Next, let's calculate the total mass of the system. The mass of the dogs is given as 18.5 kg each, and there are eight dogs. The mass of the sled with its rider is given as 208 kg. Therefore, the total mass is:

Total mass = (8 dogs * 18.5 kg/dog) + 208 kg = 372 kg + 208 kg = 580 kg

Now, we can calculate the acceleration using Newton's second law of motion:

Acceleration = Net force / Total mass

Acceleration = 1240 N / 580 kg = 2.14 m/s²

Learn more about calculating acceleration of a sled pulled by dogs here:

https://brainly.com/question/29053284

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Final answer:

The sled will accelerate at a rate of 2.14 m/s² when each dog exerts an average force of 155 N backward on the snow.

Explanation:

To calculate the acceleration of the sled, we need to determine the net force acting on it. The net force is the sum of the forces exerted by the dogs. Each dog exerts a force of 155 N backward on the snow.

First, let's calculate the total force exerted by the dogs. Since there are eight dogs, the total force is 8 times the force exerted by each dog:

Total force = 8 dogs * 155 N/dog = 1240 N

Next, let's calculate the total mass of the system. The mass of the dogs is given as 18.5 kg each, and there are eight dogs. The mass of the sled with its rider is given as 208 kg. Therefore, the total mass is:

Total mass = (8 dogs * 18.5 kg/dog) + 208 kg = 372 kg + 208 kg = 580 kg

Now, we can calculate the acceleration using Newton's second law of motion:

Acceleration = Net force / Total mass

Acceleration = 1240 N / 580 kg = 2.14 m/s²

Learn more about calculating acceleration of a sled pulled by dogs here:

https://brainly.com/question/29053284

#SPJ14

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