What is the Required Horizontal Force for a Shopping Cart on an Inclined Plane?

In summary, the formula for calculating the force on an incline is F = mgsin(θ), where F is the force, m is the mass of the object, g is the acceleration due to gravity, and θ is the angle of the incline. The angle of the incline directly affects the force, as shown in the formula F = mgsin(θ). The force of gravity is the force that pulls an object towards the center of the Earth, while the force on an incline is the force required to move an object up or down an inclined plane. The force of friction on an incline can be calculated using the formula Ff = μFn, where Ff is the force of friction, μ
  • #1
whoopie88
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Homework Statement


A shopper pushes a 7.3 kg shopping cart up a 13° incline, as shown in Figure 5-24. Find the magnitude of the horizontal force, F, needed to give the cart an acceleration of 1.67 m/s2.

05-21.gif

Figure 5-24

Homework Equations


All forces equations.


The Attempt at a Solution


wrhoas.jpg


Help?
 
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  • #2
Realize that the applied force is horizontal, not parallel to the incline.
 
  • #3
Ohhh, thank you, I got the answer!
 

Related to What is the Required Horizontal Force for a Shopping Cart on an Inclined Plane?

1. What is the formula for calculating the force on an incline?

The formula for calculating the force on an incline is F = mgsin(θ), where F is the force, m is the mass of the object, g is the acceleration due to gravity, and θ is the angle of the incline.

2. How does the angle of the incline affect the force?

The angle of the incline directly affects the force, as shown in the formula F = mgsin(θ). As the angle increases, the force required to move the object also increases.

3. What is the difference between the force of gravity and the force on an incline?

The force of gravity is the force that pulls an object towards the center of the Earth, while the force on an incline is the force required to move an object up or down an inclined plane. The force on an incline includes the force of gravity, but also takes into account the angle of the incline.

4. How do you calculate the force of friction on an incline?

The force of friction on an incline can be calculated using the formula Ff = μFn, where Ff is the force of friction, μ is the coefficient of friction, and Fn is the normal force. The normal force can be calculated using the formula Fn = mgcos(θ), where θ is the angle of the incline.

5. Can the force of an incline be greater than the force of gravity?

Yes, the force of an incline can be greater than the force of gravity. This can happen when the angle of the incline is steep, making the force required to move the object up the incline greater than the force of gravity pulling it down.

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