Question
Math Equation Response Question
A person pushes a box with a mass of 4.0 kilograms along a horizontal, frictionless surface with a force of 48 newtons, causing the box to accelerate at 12 meters per second squared. What is the magnitude of the force, in N, exerted by the box on the person?
$$This field supports both keypad and keyboard input. Use the keyboard to access and interact with the on-screen math keypad, which accepts LaTeX markup. Use the down arrow key to open the keypad and navigate its buttons. Use the escape key to close the keypad and return to the input field.
A person pushes a box with a mass of 4.0 kilograms along a horizontal, frictionless surface with a force of 48 newtons, causing the box to accelerate at 12 meters per second squared. What is the magnitude of the force, in N, exerted by the box on the person?
$$This field supports both keypad and keyboard input. Use the keyboard to access and interact with the on-screen math keypad, which accepts LaTeX markup. Use the down arrow key to open the keypad and navigate its buttons. Use the escape key to close the keypad and return to the input field.
Answers
GPT-4o mini
To find the magnitude of the force exerted by the box on the person, we can use Newton's third law of motion, which states that for every action, there is an equal and opposite reaction.
In this scenario, the person is pushing the box with a force of \( F = 48 \) N. According to Newton's third law, the box will exert an equal and opposite force on the person. Therefore, the force exerted by the box on the person is also \( 48 \) N but in the opposite direction.
Thus, the magnitude of the force exerted by the box on the person is:
\[
\boxed{48 \text{ N}}
\]
In this scenario, the person is pushing the box with a force of \( F = 48 \) N. According to Newton's third law, the box will exert an equal and opposite force on the person. Therefore, the force exerted by the box on the person is also \( 48 \) N but in the opposite direction.
Thus, the magnitude of the force exerted by the box on the person is:
\[
\boxed{48 \text{ N}}
\]