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(Solved): A person is trying to pull a loaded sled across an icy pond as shown. The sled+load has a total mas ...
A person is trying to pull a loaded sled across an icy pond as shown. The sled+load has a total mass \( m=80 \mathrm{~kg} \) and the coefficients of friction on the ice are \( \mu_{s}=0.24 \) and \( \mu_{k}=0.20 \). The person applies a force of \( \vec{F}_{\text {pull }}=175 \mathrm{~N} \) to the right. A. Find the acceleration of the sled. B. The person wants to change the mass on the sled so that their pulling force exactly equals the maximum static friction force. Determine what the change in mass \( \Delta m \) would have to be for this to be true (where a negative \( \Delta m \) means removing mass, and a positive means adding mass). C. Before the person can remove any mass (the sled is still at \( 80 \mathrm{~kg} \) and the person is still pulling with \( 175 \mathrm{~N} \) ), a tailwind starts blowing to the right. As a result, the sled begins to accelerate at \( 0.1 \frac{\mathrm{m}}{\mathrm{s}^{2}} \). Find the magnitude of the wind's force.