Unbalances and balanced forces

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Take the direction down the ramp as positive.In summary, a 13 kg box is placed at the top of a ramp inclined at an angle of 41 degrees, with a length of 4.5 m. The coefficient of friction is 0.19 due to sand on the ramp. Using the free-body diagram, the gravitational force and frictional force are calculated to be 127N and 83N respectively. With an acceleration of 6.4m/s, it takes the box 1.19 seconds to reach the bottom of the ramp. The coefficient of friction plays a role in the calculation of the net force on the box down the ramp.
  • #1
pt20army
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A 13 kg box is placed at the top of a 4.5 m long, ramp inclined at an angle of 41 degrees (with the horizon). However, the ramp is covered with sand so the coefficient of friction is 0.19. How much time does it take the box to reach the bottom of the ramp?



Fgx=Fg sin=mg sin.




13kg (9.8 N/kg)=127N

127N Sin 41= 83N

Acceleration=83N/13kg=6.4m/s

4.5m=1/2 (6.4m/s)t^2

4.5m=3.2m/s t^2
t=1.19s
Im just confused as where the coefficient of friction comes into play, and how to solve it.
 
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  • #2
As the box travels down the ramp, there is a frictional force on it and well as the gravitational force.
Draw the free-body diagram and work out the net force on the box down the ramp.
 

1. What is the difference between unbalanced and balanced forces?

Unbalanced forces have a net force that results in a change in an object's motion, while balanced forces have equal and opposite forces that cancel each other out, resulting in no change in an object's motion.

2. How do you determine if forces are balanced or unbalanced?

You can determine if forces are balanced or unbalanced by calculating the net force on an object. If the net force is zero, the forces are balanced. If the net force is not zero, the forces are unbalanced.

3. What are some examples of unbalanced forces?

Examples of unbalanced forces include a car accelerating, a ball rolling down a hill, and a person pushing a shopping cart.

4. How do unbalanced forces affect an object's motion?

Unbalanced forces cause an object to accelerate in the direction of the greater force. The acceleration is directly proportional to the net force and inversely proportional to the mass of the object.

5. Can balanced forces ever cause an object to move?

No, balanced forces cannot cause an object to move. Since the forces cancel each other out, there is no net force to cause a change in motion.

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