Question

Campers in Alaska are using a dog sled to move supplies from the store to their campground. Each time they go to the store, they put different objects on the sled. Masses of objects Object Mass (g) battery pack 1,000 blanket 800 food package 700 medicine bottle 300 The dogs always pull the sled with the same force, no matter what supplies are on the sled. Order the loads to show the size of the acceleration the sled will have each time it leaves the store.

Answer 1

The acceleration of a dog sled pulled by a team of eight dogs, with each dog exerting an average force of 185 N, can be calculated using Newton's second law. The total force exerted by the dogs is 1480 N, and the total mass of the sled and rider is 210 kg, resulting in an acceleration of approximately 7.05 m/s².

Step-by-step explanation:

Calculating Acceleration and Forces on a Dog Sled:

When a team of eight dogs pulls a sled with waxed wood runners on wet snow, we can calculate the acceleration and forces involved using Newton's second law of motion, which states that force equals mass times acceleration (F = ma).

1. To calculate the magnitude of the acceleration starting from rest, if each dog exerts an average force of 185 N backward on the snow:

Total force exerted by the dogs = number of dogs × force per dog = 8 × 185 N = 1480 N

Total mass of sled and rider = 210 kg

Acceleration (a) = Total force / Total mass = 1480 N / 210 kg ≈ 7.05 m/s²

1. To find the force in the coupling between the dogs and the sled, we use the same total force since it's transmitted through the coupling.

The magnitude of the force in the coupling is therefore 1480 N, both at rest and once the sled starts to move.