A block is measured with two instruments:

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A 0.50 kg0.50\,\text{kg} block is measured with two instruments: (i) an oscillating horizontal tray that times its vibration and reports the block’s mass, and (ii) a calibrated spring balance that reports the block’s weight in newtons. Both instruments are then taken to a planet where the acceleration due to gravity is exactly one-half of that on Earth. Which pair of readings will the instruments now give for the same block? (a) Mass 0.25 kg0.25\,\text{kg} ; Weight 2.45 N2.45\,\text{N} (b) Mass 1.00 kg1.00\,\text{kg} ; Weight 2.45 N2.45\,\text{N} (c) Mass 0.50 kg0.50\,\text{kg} ; Weight 2.45 N2.45\,\text{N} (d) Mass 0.50 kg0.50\,\text{kg} ; Weight 4.90 N4.90\,\text{N}

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