Force of object pulled up incline

The normal force is the force exerted by the surface on the suitcase, and it is equal to the weight of the suitcase. To find the force applied to the handle, we can use the fact that the horizontal force applied to the suitcase must be equal to the force of gravity acting on the suitcase. In summary, the force applied to the handle can be found by setting up two equations for horizontal and vertical forces and solving for the weight of the suitcase, which is equal to the normal force. Plugging this value into the equation for horizontal forces, we can solve for the force applied to the handle, which turns out to be 68.68 N.
  • #1
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Homework Statement



A 23 kg suitcase is being pulled with a constant speed by a handle that is at an angle of 22° above the horizontal. If the normal force exerted on the suitcase is 170 N, what is the force F applied to the handle?

Homework Equations





The Attempt at a Solution


Aight here is another one i am having trouble with! Again any help or suggestions would be great :)

I drew out a diagram. My plan was to solve Force applied to handle by solving two equations (horiztonal and vertical forces)

1) the sum of Forces (x) = Force applied - Force (weight) = 0
2) the sum of Forces (y) = Fnormal -Force(weight)

1) Force applied - sin 22 F(weight) = 0
2) 170 - cos 22 F(weight) = 0
sovling i get force (weight) = 183.5 N
Plugging into the equation for 1
Force applied - 0.3746 (183.5N) = 0
Force applied = 68.68 N

Any help with this one on strategy or how to solve this? thanks so much
 
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  • #2
What incline? Although the problem is not completely clear, it appears that the suitcase is being pulled along a level surface with the handle raised 22 degrees above the horizontal.
 

1. What is the definition of force in terms of objects pulled up an incline?

The force of an object pulled up an incline is the amount of energy or effort required to move the object against the force of gravity and the friction of the incline.

2. How does the angle of the incline affect the force required to pull an object up?

The steeper the incline, the more force is required to pull an object up. This is because the force of gravity acts more directly against the movement of the object on a steeper incline.

3. What is the relationship between the weight of the object and the force required to pull it up an incline?

The force required to pull an object up an incline is directly proportional to the weight of the object. The heavier the object, the more force is needed to overcome its weight and move it up the incline.

4. How does friction affect the force needed to pull an object up an incline?

The force of friction between the object and the incline acts in the opposite direction of the force needed to pull the object up. Therefore, the greater the amount of friction, the more force is required to overcome it and move the object up the incline.

5. Is there a way to calculate the force needed to pull an object up an incline?

Yes, the force needed to pull an object up an incline can be calculated using the formula F = mg sinθ, 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.

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