Question

having problems staying logged in or are you experiencing issues? please visit our troubleshooting section for solutions. consider the three statements. two are true. one is false. select the false statement. tap a statement to select or deselect. tap the check answer button when ready. #1 an object weighs differently on the moon as it does on earth because its mass varies with location. #2 the kilogram is a unit of mass and the newton is a unit of weight. #3 an objects weight is the force of gravity that acts upon it.

Explanation:

• Statement #1: Mass is an intrinsic property of an object and does not change with location. Weight ($W = mg$, where $m$ is mass and $g$ is the acceleration due to gravity) changes because the acceleration due to gravity ($g$) is different on the moon ($g_{moon}\approx1.62\ m/s^{2}$) and on Earth ($g_{earth}\approx9.8\ m/s^{2}$). So, the reason given in statement #1 for the change in weight is false.
• Statement #2: By definition, the kilogram ($kg$) is the SI unit of mass, and the Newton ($N$) is the SI unit of force. Since weight is a force (as weight $W = mg$, and $m$ is in $kg$, $g$ is in $m/s^{2}$, so $W$ has units of $kg\cdot m/s^{2}=N$), this statement is true.
• Statement #3: Weight is indeed the force of gravity acting on an object, as described by the formula $W = mg$ (where $m$ is the mass of the object and $g$ is the local acceleration due to gravity). So, this statement is true.

Answer:

The false statement is #1.