In case D, if the oil drop diagram shows the motion of a left-ward-moving object, Which
force diagram(s) is/are consistent with the oil drop diagram? (The arrows represent
forces; arrow length represents the size of the force.)
(a) A only
(b) B only
(c) B and C
(d) D and E
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(c) B and C
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Force diagram A only is consistent with the oil drop diagram. (option a)
Let us analyze each force diagram.
A
- In A three forces are shown:
- 2 equal forces upwards and downwards
- 1 force acting left
- The upwards and downwards forces are equal and opposite in magnitude and direction. Hence, they will cancel each other out.
- Thus, the effective force acting on the object will be towards the left only.
- So this option is consistent with the oil drop diagram.
B
- Similar to case A, in B the upward and downward forces cancel each other out.
- However, in this case, the force acting towards the right is opposite in direction and greater in magnitude than the force acting towards the left.
- So the effective force will be towards the right and the object will move right.
- So this option is not consistent with the oil drop diagram.
C
- In this case, the upward and downward forces get canceled.
- Thus the effective force is towards the right.
- So this option is wrong.
D
- In this case, the opposite and equal forces get canceled out.
- So, this object will be in equilibrium, as the effective force is 0.
- Hence, this option is wrong.
E
- In this case, all forces will cancel each other out and the object will be in equilibrium.
- It will not show movement in any direction.
- Hence, this option is wrong.
Therefore, the correct option is (a) A only.
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