Calculating Acceleration on a Sloped Surface

AI Thread Summary
To calculate the acceleration of a 63-kg skier on a 30° slope with a friction coefficient of 0.19, start by drawing a free body diagram to identify the forces acting on the skier. Key forces include gravity, normal force, and friction, which should be resolved either parallel and perpendicular to the slope or horizontally and vertically. Applying Newton's second law will help in determining the net force and resulting acceleration. Following these steps will provide a clearer understanding of the problem. Engaging with these concepts will facilitate solving the homework question effectively.
jnalli121
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hey guys, I am having trouble on 1 problem on my physics homework and was wondering if someone can help me and get me started.

Homework Statement


A 63-kg person on skis is going down a hill sloped at 30° from the horizontal. The coefficient of friction between the skis and the snow is 0.19. What would be the magnitude of the acceleration?

i have no idea where to start, looked all around my physics book but can't seem to find anything, any help would be great. thanks
 
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Start by drawing a free body diagram. What forces are present? Do you know Newton's second law? That MUST be in your textbook somewhere. Show us what you come up with.
 
Hi,

First: draw a diagram of the scene.
Second: mark on all the forces using arrows
Third resolve the forces either horizontally and vertically OR parallel and perpendicular to the slope

Hope that gets you started.

Cheers
 
thanks for the quick reply, ill work on it and post my result in a bit
 
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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