Towing a 25.0 kg suitcase at constant speed with handle at an angle

In summary, a woman at an airport is towing her 25.0 kg suitcase at a constant speed by pulling on a strap at an angle of 48.19 degrees above the horizontal. She pulls on the strap with a 30.0 N force and experiences a friction force of 20.0 N. Additionally, a light string can support a stationary hanging load of 24.0 kg before breaking. A 3.60 kg mass attached to the string rotates on a horizontal, frictionless table in a circle of radius 0.800 m. The range of speeds that the mass can have before the string breaks is given by v = sqrt(235.2*r/m). This conversation highlights the importance of putting effort into
  • #1
PrudensOptimus
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A woman at an airport is towing her 25.0 kg suitcase at constant speed by pulling on a strap at an angle of above the horizontal (Fig. P5.6). She pulls on the strap with a 30.0 N force, and the friction force on the suitcase is 20.0 N


what is the angle she pulls the suitcase with
 
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  • #2
wait i got it, it's 48.19 lol simple trig problem.
 
  • #3
A light string can support a stationary hanging load of 24.0 kg before breaking. A 3.60 kg mass attached to the string rotates on a horizontal, frictionless table in a circle of radius 0.800 m. What range of speeds can the mass have before the string breaks?
 
  • #4
lol i found the answer again...

v = sqrt(235.2*r/m)
 
  • #5
Guess this means you need to put a bit more of your own effort into these problems before running for help, huh?

cookiemonster
 

1. How does the angle of the handle affect the force required to tow the suitcase?

The angle of the handle does not affect the force required to tow the suitcase at constant speed. The force needed to move an object at a constant speed is determined by its weight and the coefficient of friction between the object and the surface it is being towed on. As long as the angle of the handle does not change, the force needed to tow the suitcase will remain the same.

2. What is the relationship between the weight of the suitcase and the force required to tow it?

The weight of the suitcase directly affects the force required to tow it at a constant speed. The greater the weight of the suitcase, the more force is needed to overcome its inertia and move it at a constant speed. This force can be calculated using the formula F = ma, where F is the force, m is the mass (in this case, the weight divided by acceleration due to gravity), and a is the acceleration (in this case, zero since the suitcase is moving at a constant speed).

3. How does the coefficient of friction between the suitcase and the surface affect the force required to tow it?

The coefficient of friction between the suitcase and the surface it is being towed on also directly affects the force required to move it at a constant speed. A higher coefficient of friction means there is more resistance between the suitcase and the surface, thus requiring more force to overcome this resistance and tow the suitcase at a constant speed.

4. Is it easier to tow a suitcase with a handle at an angle or with a straight handle?

It would be easier to tow a suitcase with a straight handle. As mentioned earlier, the angle of the handle does not affect the force required to tow the suitcase at a constant speed. However, a straight handle would provide a more efficient and direct transfer of force from the person towing the suitcase to the suitcase itself, making it easier to tow.

5. How does the surface type affect the force required to tow the suitcase?

The surface type does affect the force required to tow the suitcase at a constant speed. Different surfaces have different coefficients of friction, which as mentioned earlier, directly affects the force needed to overcome resistance and tow the suitcase. For example, it would be easier to tow a suitcase on a smooth, flat surface like a concrete floor compared to a rough, uneven surface like gravel.

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