Finding the coefficient of kinetic friction

AI Thread Summary
To find the coefficient of kinetic friction for a 16.5 kg sled being pulled with an 82.0 N force at a 30° angle, it's essential to analyze the forces acting on the sled. The sled is moving at a constant velocity, indicating that the net force is zero. A free body diagram (FBD) should be drawn to identify the gravitational force, normal force, and frictional force. Understanding these forces will help in applying the equation for friction, which relates the pulling force and the coefficient of kinetic friction. Properly setting up the problem is crucial for determining the coefficient accurately.
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Homework Statement


A 16.5 kg sled is being pulled across a horizontal surface at a constant velocity. The pulling force has a magnitude of 82.0 N and is directed at an angle of 30.0° above the horizontal. Determine the coefficient of kinetic friction.


Homework Equations





The Attempt at a Solution


I have no idea where to begin.
 
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Have you drawn the FBD?

What forces are acting on the sled?
 
i have no idea what is going on in the problem at all...
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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