Calculating Force on Handle of 23-kg Suitcase

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In summary, to find the force applied to the handle of a suitcase being pulled at a constant speed with a normal force of 180N and at an angle of 25 degrees above the horizontal, one must consider the net vertical forces, including the force of gravity and the normal force, which should equal zero. The force applied to the handle can be found by setting the net force equal to the mass of the suitcase times its acceleration and solving for the unknown force.
  • #1
josephpatricks
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Homework Statement


A 23-kg suitcase is being pulled with constant speed by a handle that is at an angle of 25 degrees above the horizontal. If the normal force exerted on the suitcase is 180N, what is the force applied to the handle?


Homework Equations


net force =ma[tex]\vec{}[/tex]
Voy = Vo sin [tex]\theta[/tex]

The Attempt at a Solution



I didn't know exactly how to approach the problem. At first I wanted to label the y-axis or normal force 180 n, set it equal to x sin 25, and solve for x. I feel like the mass of the suitcase (assume it is mass or is it weight?) has a part to play, but in reality, my teacher just does a bad job. -next step?
 
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  • #2
The normal force will be just enough to bring net vertical forces to zero. What are all the other vertical components of forces? (Name them)
 
  • #3
mass-
gravity.

so wait. 180n brings vertical forces to zero?
 
  • #4
josephpatricks said:
mass-
gravity.

so wait. 180n brings vertical forces to zero?
Mass is not a force, it is the amount of matter (or inertia) in an object.
Gravity is a phenomenon. The force due to gravity is called weight.

There is one more force (component) that you have not mentioned, and

Yes, 180 N upward, brings the net vertical force to exactly zero.
 

1. How do you calculate the force on a handle of a 23-kg suitcase?

To calculate the force on the handle of a 23-kg suitcase, you need to know the mass of the suitcase (23 kg) and the acceleration due to gravity (9.8 m/s^2). The formula for force is F=ma, so you would multiply the mass (m) by the acceleration (a) to find the force (F). In this case, the force would be 23 kg * 9.8 m/s^2 = 225.4 N.

2. Why is it important to calculate the force on a handle of a 23-kg suitcase?

Calculating the force on a handle of a 23-kg suitcase is important because it helps you understand the amount of force that you need to exert in order to lift or move the suitcase. It also helps in determining the strength and durability of the handle, as it needs to be able to withstand the force applied to it.

3. What other factors may affect the force on a handle of a 23-kg suitcase?

Aside from the mass of the suitcase and the acceleration due to gravity, other factors that may affect the force on a handle of a 23-kg suitcase include the angle at which the handle is being pulled or lifted, the friction between the handle and the hand, and the distribution of weight inside the suitcase.

4. How can you reduce the force on a handle of a 23-kg suitcase?

To reduce the force on a handle of a 23-kg suitcase, you can try redistributing the weight inside the suitcase so that it is more evenly distributed, making it easier to lift. You can also try using a suitcase with wheels, as this will reduce the amount of force needed to lift and move the suitcase.

5. What are some real-life applications of calculating the force on a handle of a 23-kg suitcase?

Calculating the force on a handle of a 23-kg suitcase has various real-life applications, such as in the design and engineering of suitcases and luggage, in physics experiments involving weight and force, and in everyday situations where you need to lift and move heavy objects like suitcases, boxes, or furniture.

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