7. make a prediction about what will happen if we cut the string that is holding the mass hanging from the foam board.

8. at this point in time, are the forces on each piece of matter balanced or unbalanced? how can we tell?

9. what happened to the balance of forces and the matter in the time between the previous state and this state?

nect matter and energy
and talk
10. when did we see evidence of energy transferred into or out of the system?

11. how are matter changes related to the energy transfer we observed in this system?

Question

7. make a prediction about what will happen if we cut the string that is holding the mass hanging from the foam board.

8. at this point in time, are the forces on each piece of matter balanced or unbalanced? how can we tell?

9. what happened to the balance of forces and the matter in the time between the previous state and this state?

nect matter and energy
and talk
10. when did we see evidence of energy transferred into or out of the system?

11. how are matter changes related to the energy transfer we observed in this system?

Accepted Answer

### Question 7
# Brief Explanations:
When the string holding the mass is cut, the tension force from the string is removed. The only significant force acting on the mass will be gravity (assuming air resistance is negligible). According to Newton's second law, an unbalanced force (gravity, since the upward tension is gone) will cause the mass to accelerate downward. So the mass will fall towards the ground.
# Answer:
The mass will fall downward (due to gravity acting on it after the tension from the string is removed).

### Question 8
# Brief Explanations:
To determine if forces are balanced, we check if the object is at rest or moving at a constant velocity (Newton's first law). If the mass is hanging still (before the string is cut), the upward tension force from the string balances the downward gravitational force (weight, $ F_g = mg $) on the mass. For the foam board, if it's also stationary, the forces on it (like the tension from the string, its own weight, and any support forces) are balanced. We can tell because the objects are not accelerating (they are stationary), so the net force is zero, meaning forces are balanced.
# Answer:
The forces are balanced. We can tell because the matter (mass, foam board) is stationary (not accelerating), so net force is zero (balanced forces).

### Question 9
# Brief Explanations:
Before cutting the string, forces were balanced (e.g., tension balanced gravity for the mass). After cutting the string, the tension force is removed, so the force of gravity on the mass is no longer balanced (net force is now non - zero, equal to $ mg $ downward). This unbalanced force causes the mass to accelerate (fall), so the matter (mass) changes its state of motion (starts moving from rest), and the balance of forces changes from balanced to unbalanced for the mass. For the foam board, if the string was providing a force on it, removing the string's tension will also change the force balance on the foam board (it may move or rotate depending on other forces).
# Answer:
Before, forces were balanced (e.g., tension balanced gravity for the mass). After cutting the string, tension (upward force on mass) is removed, so forces on the mass become unbalanced (gravity is unopposed), causing the mass to accelerate (fall). The matter (mass) changes from rest to moving, and the force balance shifts from balanced to unbalanced for the mass (and potentially the foam board too).

### Question 10
# Brief Explanations:
Energy transfer occurs when work is done or when there is a change in the state of motion (which involves kinetic energy changes) or when forces are applied over a distance. When we cut the string, the mass starts to fall. As it falls, gravitational potential energy is converted into kinetic energy (energy transfer within the system, but if we consider the system including the Earth, gravity is an internal force, but the motion of the mass involves energy changes). Also, when the mass was hanging, the string had elastic potential energy (slight stretch) which is released when the string is cut. Another time could be when the mass hits the ground (energy transfer to sound, heat, and deformation), but the main evidence of energy transfer (change in energy form) is when the mass starts to fall (potential to kinetic) after the string is cut.
# Answer:
We see evidence of energy transfer when the string is cut and the mass starts to fall (gravitational potential energy is transferred into kinetic energy as the mass accelerates downward). Also, when the mass hits the ground (energy transferred to sound, heat, etc.).

### Question 11
# Brief Explanations:
Matter changes (like the mass moving from a higher position to a lower position) are related to energy transfer. The mass has gravitational potential energy (due to its position, a property related to the matter's mass and height) at the higher position. When the string is cut, this potential energy is transferred into kinetic energy as the mass moves (falls). The change in the matter's position (a change in the matter's state of motion and location) is associated with the transfer of energy (potential to kinetic). Also, if the mass deforms or makes a sound when hitting the ground, the kinetic energy is transferred into other forms (heat, sound, elastic potential energy of deformation), which are also related to changes in the matter (e.g., deformation of the mass or the ground surface).
# Answer:
Matter changes (e.g., mass moving, deforming on impact) are related to energy transfer. The mass's potential energy (due to its mass and height) is transferred to kinetic energy as it moves (falls). When it hits the ground, kinetic energy is transferred to other forms (heat, sound, deformation energy), which are associated with changes in the matter (e.g., deformation, temperature change of matter).

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