Calculating the Force Needed to Slide a 400 N Box Up a Ramp

In summary: And to find coefficient of friction, you would use the formula Ff=uN, where Ff is the frictional force and N is the normal force. The percentage of force being wasted can be calculated using the formula (Force Applied - Total Force Exerted)/Total Force Exerted * 100%.
  • #1
brad_i2001
10
0

Homework Statement


A large package weighing 517 N is accelerated across a gym floor at 3 m/sec^2 because it is being pushed at a force of 285 N at 50 degrees to the floor. What is the normal force of the package? What is the coefficient of sliding friction between the package and the floor? Approximately what percentage of the 285 N force is being wasted due to the excessive angle produced by the pusher?

Homework Equations


F=MA
HORIZONTALLY
FORCE APPLIED, X= (285)(cos 50)= 183.194

VERTICALLY
FORCE OF Y=0 (not rising off the ground)
FORCE APPLIED, Y= (285)(sin 50)= 218.323

The Attempt at a Solution


I have filled in as much as I know, please help!
Thanks

Homework Statement


In order to slide a 400 N box up a 25 degree ramp at a constant speed, a force of 250 N parallel to to the surface is required

Homework Equations


The Attempt at a Solution

 
Last edited:
Physics news on Phys.org
  • #2
for the first problem:

what is the normal force of the box?

how would you setup Newton's Second Law in order to find the coefficient of friction?

and to find the % being wasted take (Force Applied - Total Force being Exerted)/Total Force being Exerted * 100%

And what is the question for your second problem?
 
  • #3
Wouldn't you use F=MA to find normal force?
 

FAQ: Calculating the Force Needed to Slide a 400 N Box Up a Ramp

1. What is the formula for calculating the force needed to slide a box up a ramp?

The formula for calculating the force needed to slide a box up a ramp is F = mgsinθ, where F is the force needed, m is the mass of the box, g is the acceleration due to gravity (9.8 m/s^2), and θ is the angle of the ramp.

2. How do you determine the mass of the box?

The mass of the box can be measured using a scale or by using the density and volume of the box. The formula for density is d = m/V, where d is density, m is mass, and V is volume.

3. What is the acceleration due to gravity?

The acceleration due to gravity is a constant value of 9.8 m/s^2 on Earth. This means that all objects near the surface of the Earth will experience a downward acceleration of 9.8 m/s^2 due to the force of gravity.

4. How does the angle of the ramp affect the force needed to slide the box?

The force needed to slide the box up the ramp is directly proportional to the angle of the ramp. This means that as the angle of the ramp increases, the force needed to slide the box also increases. This is because the steeper the angle, the more the weight of the box is acting against the force being applied to move it up the ramp.

5. Can the force needed to slide the box up the ramp be reduced?

Yes, the force needed to slide the box up the ramp can be reduced by decreasing the angle of the ramp or by using a pulley system. The use of a pulley system can distribute the weight of the box and reduce the amount of force needed to move it up the ramp.

Similar threads

Calculating the frictional forces on a sliding box on a ramp
Replies
2
Views
3K
Determine is box of unknown mass is sliding down a ramp?
Replies
5
Views
2K
Box and a Spring on on an inclined plane
Replies
11
Views
3K
Need to calculate work -- Lifting and then sliding a box....
Replies
4
Views
1K
Find the weight of a box sliding on a floor....
Replies
3
Views
1K
Coefficient of sliding friction homework
Replies
10
Views
2K
Need help on a work problem -- Pushing a shoe box up a ramp
Replies
8
Views
2K
Calculating Distance: Free Body Diagram for Box Sliding with Friction
Replies
1
Views
2K
How Long Does a Box Slide Up a Ramp?
Replies
5
Views
2K
Will a sliding box fall over when it stops?
2
Replies
37
Views
5K

Hot Threads

Recent Insights

Back
Top