Question 1

Multiple choiceMedium1 mark

A 3.0 kg box is stationary on a horizontal platform. A person exerts a 10 N downward force on the box. Take g=10 N kg−1g=10\ \text{N kg}^{-1} What is the magnitude of the vertical force that the box exerts on the platform?

Show answer and explanation

Answer: C. Translational equilibrium of the box gives N−mg−10=0N - mg - 10 = 0 so the platform’s force on the box is N=(3.0)(10)+10=40 NN = (3.0)(10)+10 = 40\ \text{N} By Newton’s third law, the box exerts an equal-magnitude force on the platform.

A: Treats the third-law forces as cancelling, although they act on different objects, giving 0 N0\ \text{N}
B: Balances only the box’s weight, omitting the person’s downward force, giving 30 N30\ \text{N}
D: Counts the person’s downward force twice, giving 30+2(10)=50 N30+2(10)=50\ \text{N}
Remember: sum forces on one object for equilibrium; third-law pairs act on different objects.

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