Question

match the following scenarios and or definitions you jump off a boat, and the boat moves back. a full shopping cart is harder to push than an empty one. newtons 1st law is also known as the law of newtons 3rd law is also known as a soccer ball stays still until someone kicks it. newtons 2nd law is also known as

Explanation:

To solve the matching problem, we analyze each scenario/definition and match it with the corresponding concept based on Newton's laws:

1. "You jump off a boat, and the boat moves back"

This is an example of action - reaction (Newton’s 3rd Law: for every action, there is an equal and opposite reaction). So match with "3rd Law" and "action - reaction".

2. "A full shopping cart is harder to push than an empty one"

This relates to inertia (mass is a measure of inertia, and a full cart has more mass, so more inertia, making it harder to accelerate). Also, Newton’s 2nd Law ($F = ma$) is involved as force, mass, and acceleration are related. But the key concept here for the match (from the options) is related to inertia and 2nd Law. However, more directly, the difficulty in pushing is due to inertia (mass - related resistance to change in motion) and also ties to $F = ma$ (more mass needs more force for same acceleration). But from the given options, we can match it with "inertia" and also "2nd Law" (since $F = ma$ shows the relationship between force, mass, and acceleration).

3. "Newton’s 1st law is also known as the law of"

Newton’s 1st Law is the law of inertia (it states that an object at rest stays at rest, and an object in motion stays in motion with constant velocity unless acted upon by a net external force). So match with "inertia".

4. "Newton’s 3rd law is also known as"

Newton’s 3rd Law is known as the action - reaction law (for every action force, there is an equal and opposite reaction force). So match with "action - reaction".

5. "A soccer ball stays still until someone kicks it"

This is an example of Newton’s 1st Law (an object at rest remains at rest unless a net force acts on it). So match with "1st law".

6. "Newton’s 2nd law is also known as"

Newton’s 2nd Law is mathematically expressed as $F=ma$ (force equals mass times acceleration). So match with "$F = ma$".

Final Matches:

• You jump off a boat, and the boat moves back → 3rd Law, action - reaction
• A full shopping cart is harder to push than an empty one → inertia, 2nd Law, $F = ma$ (depending on the exact matching required, but typically: full cart - inertia (and 2nd Law), empty cart comparison)
• Newton’s 1st law is also known as the law of → inertia
• Newton’s 3rd law is also known as → action - reaction
• A soccer ball stays still until someone kicks it → 1st law
• Newton’s 2nd law is also known as → $F = ma$

If we list the matches in order (from top left to bottom left scenarios/definitions and bottom left to top right concepts):

1. You jump off a boat, and the boat moves back → 3rd Law
2. A full shopping cart is harder to push than an empty one → 2nd Law (or inertia, but 2nd Law is about $F = ma$ which explains the force needed for mass)
3. Newton’s 1st law is also known as the law of → inertia
4. Newton’s 3rd law is also known as → action - reaction
5. A soccer ball stays still until someone kicks it → 1st law
6. Newton’s 2nd law is also known as → $F = ma$

The key matches are:

• "You jump off a boat, and the boat moves back" with "3rd Law" (and "action - reaction")
• "A full shopping cart is harder to push than an empty one" with "2nd Law" (and "inertia", "$F = ma$")
• "Newton’s 1st law is also known as the law of" with "inertia"
• "Newton’s 3rd law is also known as" with "action - reaction"
• "A soccer ball stays still until someone kicks it" with "1st law"
• "Newton’s 2nd law is also known as" with "$F = ma$"

Answer:

To solve the matching problem, we analyze each scenario/definition and match it with the corresponding concept based on Newton's laws:

1. "You jump off a boat, and the boat moves back"

This is an example of action - reaction (Newton’s 3rd Law: for every action, there is an equal and opposite reaction). So match with "3rd Law" and "action - reaction".

2. "A full shopping cart is harder to push than an empty one"

This relates to inertia (mass is a measure of inertia, and a full cart has more mass, so more inertia, making it harder to accelerate). Also, Newton’s 2nd Law ($F = ma$) is involved as force, mass, and acceleration are related. But the key concept here for the match (from the options) is related to inertia and 2nd Law. However, more directly, the difficulty in pushing is due to inertia (mass - related resistance to change in motion) and also ties to $F = ma$ (more mass needs more force for same acceleration). But from the given options, we can match it with "inertia" and also "2nd Law" (since $F = ma$ shows the relationship between force, mass, and acceleration).

3. "Newton’s 1st law is also known as the law of"

Newton’s 1st Law is the law of inertia (it states that an object at rest stays at rest, and an object in motion stays in motion with constant velocity unless acted upon by a net external force). So match with "inertia".

4. "Newton’s 3rd law is also known as"

Newton’s 3rd Law is known as the action - reaction law (for every action force, there is an equal and opposite reaction force). So match with "action - reaction".

5. "A soccer ball stays still until someone kicks it"

This is an example of Newton’s 1st Law (an object at rest remains at rest unless a net force acts on it). So match with "1st law".

6. "Newton’s 2nd law is also known as"

Newton’s 2nd Law is mathematically expressed as $F=ma$ (force equals mass times acceleration). So match with "$F = ma$".

Final Matches:

• You jump off a boat, and the boat moves back → 3rd Law, action - reaction
• A full shopping cart is harder to push than an empty one → inertia, 2nd Law, $F = ma$ (depending on the exact matching required, but typically: full cart - inertia (and 2nd Law), empty cart comparison)
• Newton’s 1st law is also known as the law of → inertia
• Newton’s 3rd law is also known as → action - reaction
• A soccer ball stays still until someone kicks it → 1st law
• Newton’s 2nd law is also known as → $F = ma$

If we list the matches in order (from top left to bottom left scenarios/definitions and bottom left to top right concepts):

1. You jump off a boat, and the boat moves back → 3rd Law
2. A full shopping cart is harder to push than an empty one → 2nd Law (or inertia, but 2nd Law is about $F = ma$ which explains the force needed for mass)
3. Newton’s 1st law is also known as the law of → inertia
4. Newton’s 3rd law is also known as → action - reaction
5. A soccer ball stays still until someone kicks it → 1st law
6. Newton’s 2nd law is also known as → $F = ma$

The key matches are:

• "You jump off a boat, and the boat moves back" with "3rd Law" (and "action - reaction")
• "A full shopping cart is harder to push than an empty one" with "2nd Law" (and "inertia", "$F = ma$")
• "Newton’s 1st law is also known as the law of" with "inertia"
• "Newton’s 3rd law is also known as" with "action - reaction"
• "A soccer ball stays still until someone kicks it" with "1st law"
• "Newton’s 2nd law is also known as" with "$F = ma$"