A mass M is initially at rest on a horizontal surface, μs=0.30 and μk=0.20 . A horizontal string then pulls M with a tension T. Forces below are magnitudes. Indicate if each statement is correct or incorrect
If M does not accelerate, then T ≤ μsN
M will accelerate if T exceed μsN
The NET force on M (if M does not move) is T
N equals Mg
T equals μsN if M remains at rest
M will accelerate if T exceeds μkN
I got this exact homework but my questions are slightly different. Maybe it can help u or some one else.
N equals Mg [Correct]
If M does not accelerate, then T ≤ μsN [Correct]
M will accelerate if T exceed μsN [Correct]
The NET force on M (if M does not move) is μkN [Incorrect]
M will accelerate if T exceeds μkN [Incorrect]
T equals μsN if M remains at rest [Incorrect]
I have already and the answers I submit is wrong.
If M does not accelerate, then T ≤ μsN I
M will accelerate if T exceed μsN I
The NET force on M (if M does not move) is T C
N equals Mg C
T equals μsN if M remains at rest C
M will accelerate if T exceeds μkN I
Those answers are coming up as wrong too. This problem is really frustrating me. I don't know what else to do.
To answer each statement, we need to consider the concepts of static and kinetic friction, net force, and acceleration.
1. If M does not accelerate, then T ≤ μsN.
This statement is correct. When an object is not accelerating, the applied force (T) must be less than or equal to the maximum static friction force (μsN). If T exceeds μsN, the object would overcome static friction and start moving.
2. M will accelerate if T exceeds μsN.
This statement is incorrect. If T exceeds μsN, the object will start moving and transition from static to kinetic friction. However, once the object is in motion, the magnitude of the force of kinetic friction (μkN) becomes relevant, not the maximum static friction force (μsN).
3. The NET force on M (if M does not move) is T.
This statement is correct. If the object is at rest and not accelerating, the net force acting on it must be zero. In this case, T would be equal in magnitude and opposite in direction to the maximum static friction force (μsN).
4. N equals Mg.
This statement is correct. N represents the normal force, which is equal to the weight of the object (Mg) when the object is on a horizontal surface.
5. T equals μsN if M remains at rest.
This statement is correct. When an object is at rest and not accelerating, the applied force (T) is equal in magnitude and opposite in direction to the maximum static friction force (μsN).
6. M will accelerate if T exceeds μkN.
This statement is correct. Once the object is in motion, the magnitude of the force of kinetic friction (μkN) becomes relevant. If T exceeds μkN, the net force on the object becomes non-zero, leading to acceleration.
Remember, to solve such problems, it is essential to recognize the difference between static and kinetic friction and their corresponding coefficients (μs and μk). Additionally, understanding the concepts of net force, normal force, and acceleration is fundamental.
Hey, you try first.
If M does not accelerate, then T ≤ μsN I
If it is already moving then it may accelerate with T < musN so I agree false
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M will accelerate if T exceed μsN I
Yes it will because it will start and then the force is greater than needed for a constant speed. I say True
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The NET force on M (if M does not move) is T C
NO, if it does not accelerate the NET force is zero. (the friction exactly balances T) False
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N equals Mg C
Yes, correct
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T equals μsN if M remains at rest C
False, T = mus N only at the point where it starts to move. For smaller T, mus N is greater than T
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M will accelerate if T exceeds μkN I
True if and only if the mass is already moving.