Newton's second law -- Crate sliding in the back of an accelerating truck

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Homework Help Overview

The discussion revolves around a problem involving Newton's second law, specifically focusing on a crate sliding in the back of an accelerating truck. Participants are exploring the dynamics of the system, including free body diagrams and the forces acting on both the truck and the crate.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the necessity of showing work, including free body diagrams, to facilitate guidance. There are attempts to apply Newton's second law to find friction forces and acceleration, with some questioning the assumptions regarding friction coefficients and the nature of forces acting on the truck and crate.

Discussion Status

Several participants have provided guidance on the need for clear diagrams and the application of Newton's laws. There is an ongoing exploration of the forces involved, particularly regarding friction and acceleration, with some participants expressing uncertainty about their understanding and the correct approach to the problem.

Contextual Notes

Participants note that the problem lacks specific information about the coefficient of friction and that assumptions about the nature of the forces acting on the truck and crate are being debated. The discussion also highlights the importance of Newton's third law in analyzing the forces between the crate and the truck.

  • #31
Ok so do i need to consider the mass of the crate on the truck as whole so (mass of the truck + mass of the crate) what about the air forces (Fa1 and Fa2) do i need to add them too, or are they considered as internal forces?
 
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  • #32
Franklie001 said:
Ok so do i need to consider the mass of the crate on the truck as whole so (mass of the truck + mass of the crate) what about the air forces (Fa1 and Fa2) do i need to add them too, or are they considered as internal forces?
Here's a clue:

 
  • #33
Thanks
 
  • #34
@Franklie001, if you want to do it using simultaneous equations, here are the steps...

’1’ is the truck and ‘2’ is the crate.

1. Find the resultant force on the truck, ##F_1##, the sum of all the forces on the truck.
Hey, I'll even do that one for you:
Reading-off the truck's free body diagram gives:
##F_1 =5000 - 600 - F_{friction} = 4400 - F_{friction}##.

2. Find the resultant force on the crate, ##F_2##, the sum of all the forces on the crate.
You do that one yourself.

3. Apply ##F_1=m_1a## to the truck to get equation 1.
I'll do that one for you:
##4400 - F_{friction} = 8000a## (equation 1)

4. Apply ##F_2=m_2a## to the crate to get equation 2.
You do that one yourself.

5. You now have 2 simultaneous equations with unknowns ##a## and ##F_{friction}##. You solve them.

If you don't like simultaneous equations, see the suggested method in my previous posts.
 
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  • #35
I've used the simultaneous equations and i 've got for the acceleration ax= 0.39 m/s^2 and for the force of friction f= -880N
Is that right?
 
  • #36
Franklie001 said:
I've used the simultaneous equations and i 've got for the acceleration ax= 0.39 m/s^2 and for the force of friction f= -880N
Is that right?
Sadly that doesn't look quite right. Did you remember the air resistance on the crate?
 
  • #37
No you are right I've got for the acceleration ax=0.382 m/s^2
and for the friction force f = 944N

Am i right?
 
  • #38
So if the friction force is 944N i have an equal and opposite friction force acting on the crate.
Therefore the second solution is given already Ff=944N.
And the coefficient is 0.043
 
  • #39
Franklie001 said:
So if the friction force is 944N i have an equal and opposite friction force acting on the crate.
Therefore the second solution is given already Ff=944N.
And the coefficient is 0.043
I get a different answer. Did you remember the air resistance on the crate?
 
  • #40
I've got Friction force = 1040N
and coefficient of kinetic friction u = 0.048
 
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  • #41
Yes i 've remembered everything this time
 
  • #42
Seriously thanks for the big help on this one
 
  • #43
Franklie001 said:
I've got Friction force = 1040N
and coefficient of kinetic friction u = 0.048
Well done. But you may have a rounding error. I got the friction force to be 1027.45N which rounds to 1030N.
 
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