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Cart rolling down hill

  • Thread starter rawr8712
  • Start date
  • #1
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Homework Statement


An 0.80-kg cart rolls down a 30.0° hill from a
vertical height of 0.50 m. The distance that the cart must roll to the bottom of
the hill is 0.50 m/sin 30.0°=1.0 m. The surface of
the hill exerts a frictional force of 5.0 N on the cart.
Does the cart roll to the bottom of the hill?


Homework Equations


I do know what equation to use or how to get the problem started.
f=ma


The Attempt at a Solution


F=9.8m/s^2(.8kg)
F=7.84N(sin30)
F=3.92N
so it doesn't over come the frictional force.
 
Last edited:

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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Welcome to PF!

Homework Statement


An 0.80-kg cart rolls down a 30.0° hill from a
vertical height of 0.50 m. The distance that the cart must roll to the bottom of
the hill is 0.50 m/sin 30.0°=1.0 m. The surface of
the hill exerts a frictional force of 5.0 N on the cart.
Does the cart roll to the bottom of the hill?
Hi rawr8712! Welcome to PF! :smile:

Yes, the downhill component of gravity is 3.92N, so if the friction force is 5N, the cart will accelerate uphill!!. :rolleyes:

Are you sure you've copied the question accurately?​
 
  • #3
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0


Hi rawr8712! Welcome to PF! :smile:

Yes, the downhill component of gravity is 3.92N, so if the friction force is 5N, the cart will accelerate uphill!!. :rolleyes:

Are you sure you've copied the question accurately?​
the cart will not accelerate up the hill seeing as the force stated for friction is the maximum force that friction can exert not a constant. therefore the cart will not move
 

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