Calculating Force and Normal Force on 10kg Suitcase at Angle 48

In summary: A but it said it was wrong.In summary, in this conversation, we discussed a scenario where a 10 kg suitcase was being dragged with a force of F at an angle of 48° with respect to the horizontal. The surface had a kinetic coefficient of friction of 0.32 and the acceleration of gravity was 9.8 m/s2. It was mentioned that the suitcase was moving with a constant velocity of 2.25 m/s and the question was posed to find the value of F in newtons. Additionally, the normal force on the suitcase and the work done when pulling it a distance of 66.1 m were also asked. Finally, the question was also raised about the force needed to accelerate the
  • #1
BallerRegis
5
0
A) You drag a suitcase of mass 10 kg with a
force of F at an angle 48 with respect to
the horizontal along a surface with kinetic
coefficient of friction 0.32.
The acceleration of gravity is 9.8 m/s2 .
If the suitcase is moving with constant
velocity 2.25 m/s, what is F?
Answer in units of N

B) What is the normal force on the suitcase?
Answer in units of N

C) If you pull the suitcase 66.1 m, what work
have you done?
Answer in units of J

D) If you are accelerating the suitcase with acceleration
1.43 m/s2 what is F?
Answer in units of N

I tried 46.511 for part A n got it wrong.
 
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  • #2


You're going to have to show more work, not just say you tossed in a value and got the incorrect answer.

That said, since you haven't shown any work, I'll give you an idea of how to attack the first part of the problem.

a) The suitcase is moving at a constant speed, so the force of friction is equal (but opposite in direction) to the force on the suitcase in the direction of motion (the x-component of F). Keep in mind that F has a y component when you calculate the frictional force.
 
  • #3


I did .32*(mg-sin48) divided by cos 48 and got 46.511
 

Related to Calculating Force and Normal Force on 10kg Suitcase at Angle 48

1. How do I calculate the force on a 10kg suitcase at an angle of 48 degrees?

To calculate the force, you will need to use the formula F = mgsinθ, where F is the force in Newtons, m is the mass in kilograms, g is the acceleration due to gravity (9.8 m/s^2), and θ is the angle of the surface the suitcase is on. Plug in the values and solve for F to get the force on the suitcase.

2. What is the normal force on a 10kg suitcase at an angle of 48 degrees?

The normal force is the force exerted by the surface on the object in a direction perpendicular to the surface. To calculate it, use the formula N = mgcosθ, where N is the normal force, m is the mass in kilograms, g is the acceleration due to gravity (9.8 m/s^2), and θ is the angle of the surface. Plug in the values and solve for N to get the normal force on the suitcase.

3. How does the angle of the surface affect the force and normal force on a 10kg suitcase?

The angle of the surface affects the force and normal force by changing the components of the weight vector that act parallel and perpendicular to the surface. As the angle increases, the force and normal force decrease, and at an angle of 90 degrees (a vertical surface), they both become zero.

4. Can the force and normal force on a 10kg suitcase be negative?

No, the force and normal force cannot be negative. They are both vector quantities and have a direction associated with them. A negative value would indicate that the force is acting in the opposite direction, which is not physically possible.

5. How do I calculate the net force on a 10kg suitcase at an angle of 48 degrees?

The net force is the vector sum of all the forces acting on an object. To calculate it, you will need to find the horizontal and vertical components of all the forces (weight, force, and normal force) and then use the Pythagorean theorem to find the magnitude of the net force. The direction of the net force can be found by using trigonometric functions to find the angle between the net force and the horizontal axis.

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