Is there an error in the answer for Impulse Momentum Linear Homework?

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freshbox
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Homework Statement


Hi guys, just want to check is there any problem with the answer for part c and d of the question? I would really appreciate if you can help me double check, thank you.
 

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yes but not for c and d
 
NascentOxygen said:
I don't get anywhere near their answers for (a) or (b). :frown:

I get their answers only if I change the force to 120 MN.

Have you used 8000 kg as mass of the hammer? (Mg = 103 kg)


ehild
 
Part C

M1=mv
=(9000)(8.82)
=79380

M2=mv
=0

I1-2=Force x Time
=(F)(0.1)
=0.1F

M1+I1-2=M2

79380-0.1F=0
79380=0.1F
F=793800 Ans Wrong


Counting gravity force into working

I1-2= Force x Time
=(9.81F)(0.1)
=0.981F

79380=0.981F
F=80917.43 Ans Wrong
 
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freshbox said:
Part C

M1=mv
=(9000)(8.82)
=79380

M2=mv
=0

I1-2=Force x Time
=(F)(0.1)
=0.1F

M1+I1-2=M2

79380-0.1F=0
79380=0.1F
F=793800 Ans Wrong
That's the net force acting. Use that to find the resistive force.
 
Is I1-2= Force x Time this force always the net force?
 
freshbox said:
Is I1-2= Force x Time this force always the net force?
I'd say so.
 
Can you guide me on how to use the net force to find the resistive force? Is there a formula to it?
 
freshbox said:
Can you guide me on how to use the net force to find the resistive force? Is there a formula to it?
Draw a free body diagram and analyze the forces acting on the hammer+pile system.
 
There is an action and reaction force. Action :+793800 Reaction-793800 :confused:
 
freshbox said:
There is an action and reaction force. Action :+793800 Reaction-793800 :confused:
For one thing, action and reaction forces act on different bodies. What you want are the forces acting on the hammer+pile.

Second, that 793800 N force is a net force, not an individual force. So even talking about it as an "action" is meaningless.

What forces act on the hammer+pile? Hint: Only two forces act.
 
freshbox said:
Part C

M1=mv
=(9000)(8.82)
=79380

M2=mv
=0

I1-2=Force x Time
=(F)(0.1)
=0.1F

M1+I1-2=M2

79380-0.1F=0
79380=0.1F
F=793800 Ans Wrong
That's the opposing force to bring about the deceleration. In addition, you also have to oppose their weights, as well.
 
Gravity and the 120kN external force?
 
I just can't think of any other forces besides gravity.. and the FBD i drew looks abit weird to me too haha..:redface:
 
freshbox said:
I just can't think of any other forces besides gravity..
What about the force you are asked to find?
 
Yes the 2 forces are gravity and resistive force, sorry.

How many Newtons force UP must be exerted to balance their weights acting DOWNWARD? -793800N? What are you trying to tell me, action/reaction ?

Urgggh... so confusing I don't know how to use the net force to solve :(
 
freshbox said:
Yes the 2 forces are gravity and resistive force, sorry.
So, what's the gravitational force? Set the sum equal to the net force.

How many Newtons force UP must be exerted to balance their weights acting DOWNWARD? -793800N? What are you trying to tell me, action/reaction ?
Forget about 'balancing' anything.

There are two forces, one unknown. And you already know the net force, so set up an equation to solve for the resistive force.
 
There is the system the hammer and pile together. You have two forces: their weight, G and the resistive force Fr from the ground. Their resultant F=Fr-G will change the linear momentum during the given time . FΔt=ΔI. Calculate Fr.

ehild
 

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793800=Fr-88290
Fr=793800+88290
Fr= 882090

Ok this is the answer but I still don't understand the concept behind it.

Doc AL said, So, what's the gravitational force? Set the sum equal to the net force. I assume G Force = Net Force -> can you explain why G force is equal to net force?

From this equation F=Fr-G, how do you determine G force is -ve, Fr and F is both +ve because at first I tried setting it as G=F-Fr because I thought all should be positive except Fr since it is "resist"


Please explain, thank you guys so much
 
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If the hammer were acting horizontally, say driving a pile horizontally into a rock face, then gravity would not enter into the calculations for such horizontal motion. But in your problem where motion is in the same direction as gravity, to restrict the pile to moving downwards according to the equation of motion the ground must in addition oppose the weights of the hammer and pile.
 
The hammer and pile move together into the material. They have initial linear momentum I and mass of 9000 kg, which means 9000g weight. The weight pulls downward the pile+hammer, and the resistive force acts upward. The net force is opposite to the momentum, and equals with ΔI/Δt in magnitude.

ehild
 
freshbox said:
793800=Fr-88290
Fr=793800+88290
Fr= 882090
OK.

Ok this is the answer but I still don't understand the concept behind it.

Doc AL said, So, what's the gravitational force? Set the sum equal to the net force. I assume G Force = Net Force -> can you explain why G force is equal to net force?
The "G force" is just the weight of the system, which acts down. It's one of the two forces acting. It's not the net force.

From this equation F=Fr-G, how do you determine G force is -ve, Fr and F is both +ve because at first I tried setting it as G=F-Fr because I thought all should be positive except Fr since it is "resist"
The resistive force is upward (the ground pushes up), the gravitational force is downward; the net force is upward. So, taking up as positive, the gravitational force would be negative.

What you did above, which is correct, is to set the net force equal to the sum of the individual forces:

ƩF = [Resistive Force] + [Gravity] (think of this as a vector equation)

Using up as positive:
793800 = Fr - mg

So Fr = 793800 + mg
 
Can I ask how come the net force is upward? I thought is moving down together with the G force to produce the resistive force (upward)
 
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