If the kinetic energy of the block is increasing. the block must be

If the kinetic energy of the block is increasing, the
blockmustbe must
Consider the block in the process of oscillating.

at the
equilibrium position.

at the
amplitude displacement.

moving to
the right.

moving to
the left.

moving
away from equilibrium.

moving
toward equilibrium.

at the
equilibrium position.

at the
amplitude displacement.

moving to
the right.

moving to
the left.

moving
away from equilibrium.

moving
toward equilibrium.

at the
equilibrium position.

at the
amplitude displacement.

moving to
the right.

moving to
the left.

moving
away from equilibrium.

moving
toward equilibrium.

at the
equilibrium position.
at the
equilibrium position.

at the
amplitude displacement.
at the
amplitude displacement.

moving to
the right.
moving to
the right.

moving to
the left.
moving to
the left.

moving
away from equilibrium.
moving
away from equilibrium.

moving
toward equilibrium.
moving
toward equilibrium.

General guidance

Concepts and reason

The concept required to solve the given problem is variation of energy of an object in oscillating motion.
Initially, know the energy of an oscillating object at equilibrium, at the amplitude, moving to the left, moving to the right, away from the equilibrium and towards the equilibrium. Then, determine the situation in which the kinetic energy is increasing to find correct option.

Fundamentals

The oscillating object has maximum kinetic energy at equilibrium and maximum potential energy at amplitude position.
The kinetic energy decreases when the object moving away from equilibrium to amplitude position and potential decrease when the object moving away from amplitude position to equilibrium position.

Step-by-step

Step 1 of 2

The block has maximum kinetic energy at equilibrium position.
Thus, the given statement kinetic energy of the block increases at equilibrium position is incorrect.
The block has maximum potential energy and zero kinetic energy at amplitude position.
Thus, the given statement kinetic energy of the block increases at amplitude position is incorrect.
There is no information given about the motion of the block. Thus, the given options moving to the left and moving to the right does not make any sense.
Thus, the given statement kinetic energy of the block increases moving to the left or right is incorrect.
When the block moving away from the equilibrium kinetic energy decrease and potential energy increases.
Thus, the given statement kinetic energy of the block increases when moving away from the equilibrium in incorrect.

The kinetic energy of the block at amplitude position is equal to zero because the speed of the block at amplitude position is equal to zero.

Do not take kinetic energy increases when block moving away from the equilibrium because in this case kinetic energy decreases.

Find the correct option by using energy of block at each position.

Step 2 of 2

The kinetic energy of the block increases when the block is moving towards the equilibrium.

The kinetic energy of the block increases when the block is moving towards the equilibrium.

The potential energy of the block is maximum at amplitude position. When the block moving towards the equilibrium from the amplitude position, the potential energy of the block converted into kinetic energy approaching to the equilibrium. Thus, the kinetic energy of the block increases when the block moving towards the equilibrium.

Do not take kinetic energy decreases when the block is moving towards the equilibrium because kinetic energy increases.

Answer

The kinetic energy of the block increases when the block is moving towards the equilibrium.

Answer only

The kinetic energy of the block increases when the block is moving towards the equilibrium.

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