select the correct location on the image. matthew drops a ball and watches it bounce back up from the ground. he draws a force diagram that shows the forces when the ball collides with the ground. which diagram correctly shows the forces involved?

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Accepted Answer

# Brief Explanations:
When the ball collides with the ground, two main forces act on the ball: gravity (acting downward) and the normal force from the ground (acting upward). Also, the ground experiences a downward force (Newton's third law, reaction to the normal force on the ball). Let's analyze each diagram:

1. First diagram: The downward force is on the ground, not the ball. The ball should have gravity downward. So incorrect.
2. Second diagram: The downward force is on the ground (reaction force), and the ball has an upward normal force. But the ball also needs gravity downward? Wait, no—wait, when the ball is colliding, the normal force from the ground on the ball is upward, and gravity is downward on the ball. But also, the ground has a downward force (reaction to the normal force on the ball). Wait, maybe I misread. Wait, the diagrams: let's look at the third diagram. Wait, the third diagram: the ball has an upward force (normal force from ground) and a downward force (gravity) on the ball, and the ground? No, the third diagram: the blue arrow upward on the ball, blue arrow downward below the ground? Wait, no, the third diagram (from left, third) has an upward arrow on the ball, and a downward arrow below the ground (attached to the ground? No, the third diagram: the ball has an upward force, and a downward force (gravity) on the ball? Wait, no, the third diagram (let's count: first, second, third, fourth). Wait, the correct diagram should show: on the ball, upward normal force (from ground) and downward gravity. And on the ground, a downward force (reaction to the normal force on the ball, by Newton's third law: the ball exerts a downward force on the ground equal to the normal force upward on the ball). Wait, no—wait, when the ball hits the ground, the forces on the ball are: gravity (downward) and normal force (upward, from ground). The forces on the ground are: the downward force from the ball (reaction to normal force) and the upward force from the Earth (but maybe we ignore that for the diagram). Wait, the third diagram (third from left) shows an upward arrow on the ball (normal force) and a downward arrow (gravity) on the ball? Wait, no, the third diagram: the blue arrow is upward on the ball, and a blue arrow downward below the ground (so the ground has a downward force? No, the ground's force: the ball pushes the ground down, so the ground has a downward force? Wait, no, the ground is a surface, so the forces on the ball: upward normal (from ground) and downward gravity. The forces on the ground: downward force from ball (reaction) and upward force from Earth, but in the diagram, we are showing forces on the ball and maybe the ground. Wait, the third diagram (third from left) has an upward arrow on the ball and a downward arrow (attached to the ground? No, the third diagram: the ball has an upward force, and a downward force (gravity) on the ball? Wait, no, the third diagram's downward arrow is below the ground, so that's the force the ball exerts on the ground (downward), and the upward arrow is the normal force on the ball (from ground). And the ball also has gravity? Wait, maybe the diagram is simplifying, and the key is: when the ball collides, the normal force on the ball is upward, and the ball exerts a downward force on the ground (Newton's third law). So the correct diagram should have an upward arrow on the ball (normal force) and a downward arrow on the ground (force from ball), and also gravity on the ball? Wait, maybe the third diagram (third from left) is the one: upward on ball, downward below ground (force from ball on ground), and also gravity on ball? Wait, no, the third diagram (let's see the arrows):

- First diagram: downward arrow on ground (from ball), upward arrow? No, first diagram: downward arrow on ground, and a downward arrow on the ball? No, first diagram: the arrow is downward through the ball and ground? No, first diagram: yellow ball, blue arrow downward from ball to ground, then blue arrow downward below ground. So that's force from ball to ground, but no upward force on ball. Incorrect.

- Second diagram: upward arrow on ball, downward arrow on ground (force from ball to ground). But is there gravity on the ball? Wait, maybe in the diagram, gravity is included, but maybe the problem is focusing on the normal force and the reaction force. Wait, when the ball bounces, at the moment of collision, the normal force from the ground on the ball is upward, and the ball's weight (gravity) is downward. But also, the ball exerts a downward force on the ground (reaction to normal force). So the correct diagram should show: on the ball, upward normal and downward gravity; on the ground, downward force from ball. Wait, the third diagram (third from left) has an upward arrow on the ball, a downward arrow below the ground (force from ball on ground), and also a downward arrow on the ball? No, third diagram: upward on ball, downward below ground, and a downward arrow on the ball? Wait, no, the third diagram's arrows: upward on ball, downward below ground (so two arrows: one up on ball, one down below ground). Wait, maybe the third diagram (third from left) is the correct one because it shows the normal force upward on the ball and the reaction force downward on the ground, along with gravity downward on the ball? Wait, no, the third diagram (as per the image) has an upward arrow on the ball and a downward arrow (attached to the ground? No, the third diagram: the ball has an upward arrow, and a downward arrow (gravity) on the ball? Wait, I think the third diagram (third from the left) is the correct one. Wait, the fourth diagram has upward arrows on both ball and ground, which is wrong (action-reaction should be opposite). The second diagram: upward on ball, downward on ground (reaction), but is there gravity? Wait, maybe the problem is considering that at collision, the normal force is greater than gravity (so the ball bounces), but the key forces are normal force (up on ball) and reaction force (down on ground), plus gravity (down on ball). So the third diagram (third from left) has upward on ball, downward on ball (gravity), and downward on ground (reaction). Wait, no, the third diagram's arrows: upward on ball, downward below ground (reaction), and downward on ball (gravity). So that's three arrows? No, the image shows four diagrams:

1. First: yellow ball, blue arrow downward from ball to ground, then blue arrow downward below ground.

2. Second: yellow ball, blue arrow upward on ball, blue arrow downward on ground.

3. Third: yellow ball, blue arrow upward on ball, blue arrow downward on ball, blue arrow downward below ground? No, maybe the third diagram has upward on ball, downward on ball (gravity), and downward on ground (reaction). Wait, no, the user's image: let's re-express:

- Diagram 1: Arrow down through ball and ground (so force from ball to ground, but no upward on ball).

- Diagram 2: Arrow up on ball, arrow down on ground (reaction), but no gravity on ball.

- Diagram 3: Arrow up on ball, arrow down on ball (gravity), arrow down on ground (reaction).

- Diagram 4: Arrow up on ball, arrow up on ground (wrong, action-reaction must be opposite).

So the correct diagram should show: on the ball, upward normal force (from ground) and downward gravity; on the ground, downward force (from ball, reaction to normal force). So Diagram 3 (third from left) is correct because it has upward on ball (normal), downward on ball (gravity), and downward on ground (reaction).

# Answer:
The third diagram from the left (the one with an upward arrow on the ball, a downward arrow on the ball, and a downward arrow below the ground) is the correct one.

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