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Answer :
The magnitude of the acceleration of the sled, starting from rest, when each of the eight dogs exerts a force of 185 N, is approximately 7.05 m/s².
To calculate the magnitude of the acceleration of the sled starting from rest, we can use Newton's second law of motion, which relates force (F), mass (m), and acceleration (a):
[F = ma]
In this case, we need to consider the net force acting on the sled, which is the sum of the forces exerted by all eight dogs. Since each dog exerts a force of 185 N backward, the total force exerted by the dogs [tex](\(F_{\text{total}}\))[/tex] is:
[tex]\[F_{\text{total}} = 8 \times 185 \, \text{N} = 1480 \, \text{N}\][/tex]
The mass of the sled and rider (m) is 210 kg.
Now, we can calculate the acceleration (a) using Newton's second law:
[tex]\[a = \frac{F_{\text{total}}}{m} = \frac{1480 \, \text{N}}{210 \, \text{kg}}\][/tex]
Calculate (a):
[tex]\[a \approx 7.05 \, \text{m/s}^2\][/tex]
So, the magnitude of the acceleration of the sled, starting from rest, is approximately [tex]\(7.05 \, \text{m/s}^2\)[/tex].
To learn more about Newton's second law here
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