A box with the mass m = 25 kg is sliding up a hill

In summary, the DJ Use tips from another thread to upload files to his Ipad and he has trouble understanding how to do it.
  • #1
Danielheidarr
18
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Homework Statement
A box with the mass m = 25 kg is sliding with starting speed of V0=7m/s up a hill that has the angle Θ=12°. there is a steady wind blowing with a horizontal force of Fv = 50N. The coefficient of friction is µk = 0.18.
Relevant Equations
a) What is the force that works on the box from the hill?
b) What distance, L, does the box slide up the hill before it stops?
c) What does the coefficient of friction need to be at the lowest so the box doesn´t slide back down the hill*
What I have already attempted is on my Ipad and I don't know how to upload it on here.
With hope of help
DJ
 
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  • #2
Use my tips from your other thread to use "Attach files". :wink:
 
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  • #3
Danielheidarr said:
there is a steady wind blowing with a horizontal force of Fv = 50N.
Which way?
 
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  • #4
haruspex said:
Which way?
Upp the hill (with the box)
 
  • #5
Danielheidarr said:
Upp the hill (with the box)
You mean to say that there is an uphill component. The 50 N wind is horizontal.
 
  • #6
If the wind is blowing down a slope, I guess it can't be horizontal.

Blowing horizontally into the slope is perhaps more precise than up the slope.
 
  • #7
kuruman said:
You mean to say that there is an uphill component. The 50 N wind is horizontal.
yeah that's what I meant sorry
 
  • #8
kuruman said:
You mean to say that there is an uphill component. The 50 N wind is horizontal.
sorry the uphill component is only for the box, the box is moving to the right towards the hill and the wind is moving horizontal in the same direction as the box.
 
  • #9
PeroK said:
If the wind is blowing down a slope, I guess it can't be horizontal.

Blowing horizontally into the slope is perhaps more precise than up the slope.
yeah what i meant to say is blowing horizontally into the slope.
 
  • #10
Note 17 Nov 2022.jpg
 
  • #11
This is what I did. What do you guys think?
 
  • #12
Here is a pdf probably better to view that
 

Attachments

  • Note 17 Nov 2022.pdf
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  • #13
Danielheidarr said:
This is what I did. What do you guys think?
##6.5m## looks like the distance without the wind blowing.
 
  • #14
ah that's right i forgot to add that in thank you so much :)
 
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  • #15
Same for part c). ##\mu = \tan \theta ## is the calculation without the wind.
 
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  • #16
Same for part a.
 
  • #17
PeroK said:
Same for part a.
I'm not quite sure how to work the wind into the equation. Any hints for it?
 
  • #18
Danielheidarr said:
I'm not quite sure how to work the wind into the equation. Any hints for it?
It's a force like any other.
 
  • #19
Danielheidarr said:
I'm not quite sure how to work the wind into the equation. Any hints for it?
See post #5.
 
  • #20
Danielheidarr said:
This is too hard to read. The subscripts are illegible and the thumbnail sketch FBD far too small. Draw decently sized diagrams and type equations.
Don't forget the wind force has a component normal to the slope.
 
  • #21
haruspex said:
This is too hard to read. The subscripts are illegible and the thumbnail sketch FBD far too small. Draw decently sized diagrams and type equations.
Don't forget the wind force has a component normal to the slope.
I also sent the pdf in post #12 better view there
 

FAQ: A box with the mass m = 25 kg is sliding up a hill

1. What is the force required to move the box up the hill?

The force required to move the box up the hill depends on the angle of the incline and the coefficient of friction between the box and the surface of the hill. It can be calculated using the formula F = mgsinθ + μmgcosθ, where m is the mass of the box, g is the gravitational acceleration, θ is the angle of the incline, and μ is the coefficient of friction.

2. How does the mass of the box affect its movement up the hill?

The mass of the box affects its movement up the hill by increasing the amount of force needed to overcome the gravitational force and the frictional force. The heavier the box, the more force is needed to move it up the hill.

3. What factors influence the speed of the box as it slides up the hill?

The speed of the box as it slides up the hill is influenced by the angle of the incline, the coefficient of friction, and the initial velocity of the box. The steeper the incline, the higher the coefficient of friction, and the greater the initial velocity, the faster the box will move up the hill.

4. What happens to the box's kinetic energy as it slides up the hill?

The box's kinetic energy decreases as it slides up the hill due to the work done against friction and gravity. Some of the box's initial kinetic energy is converted into potential energy as it gains height on the hill.

5. Can the box reach the top of the hill without any external force?

No, the box cannot reach the top of the hill without any external force. In order for the box to overcome the force of gravity and the frictional force, an external force must be applied to move it up the hill.

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