Questions: You are pushing a heavy box across a rough floor. When you are initially pushing the box and it is accelerating,
the force you exert on the box is equal to the force of the box pushing back on you.
the force you exert on the box is greater than the force of the box pushing back on you.
you exert a force on the box, but the box does not exert a force on you.
the force that the box exerts on you is greater than the force you exert on the box.
the box is so heavy it exerts a force on you, but you do not exert a force on the box.
Transcript text: You are pushing a heavy box across a rough floor. When you are initially pushing the box and it is accelerating,
the force you exert on the box is equal to the force of the box pushing back on you.
the force you exert on the box is greater than the force of the box pushing back on you.
you exert a force on the box, but the box does not exert a force on you.
the force that the box exerts on you is greater than the force you exert on the box.
the box is so heavy it exerts a force on you, but you do not exert a force on the box.
Solution
Solution Steps
Step 1: Understanding Newton's Third Law
Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. This means that if you exert a force on the box, the box will exert an equal and opposite force on you.
Step 2: Analyzing the Forces
When you push the box and it is accelerating, you are applying a force to the box. According to Newton's Third Law, the box will exert an equal and opposite force back on you. This means the forces are equal in magnitude but opposite in direction.
Step 3: Evaluating the Options
The first option states that the force you exert on the box is equal to the force of the box pushing back on you. This is consistent with Newton's Third Law.
The second option states that the force you exert on the box is greater than the force of the box pushing back on you. This contradicts Newton's Third Law.
The third option states that you exert a force on the box, but the box does not exert a force on you. This also contradicts Newton's Third Law.
The fourth option states that the force that the box exerts on you is greater than the force you exert on the box. This contradicts Newton's Third Law.
The fifth option states that the box is so heavy it exerts a force on you, but you do not exert a force on the box. This contradicts Newton's Third Law.
Final Answer
\(\boxed{\text{the force you exert on the box is equal to the force of the box pushing back on you.}}\)