Weight and Mass (pages 368-309) 13. What is weight? 14. Write the formula used to calculate the weight of an object. 15. Is the following sentence true or false? Because the weight formula shows that mass and weight are proportional, doubling the mass of an object will not affect its weight. 16. Complete the table below by describing the difference between mass and weight. multicolumn(2)(|c|)( Mass and Weight ) Mass & Weight & 17. On the moon, the acceleration due to gravity is only about one that on Earth. Thus, an object will weigh on the moon than it weighs on Earth.

## Step 1: Understanding Weight<br />### Weight is the force exerted by gravity on an object. It depends on both the mass of the object and the acceleration due to gravity.<br /><br />## Step 2: Formula for Calculating Weight<br />### The formula used to calculate the weight of an object is given by:<br />\[<br />W = m \cdot g<br />\]<br />where \( W \) is the weight, \( m \) is the mass, and \( g \) is the acceleration due to gravity.<br /><br />## Step 3: Analyzing Proportionality Statement<br />### The statement "Because the weight formula shows that mass and weight are proportional, doubling the mass of an object will not affect its weight" is false. According to the formula \( W = m \cdot g \), if the mass \( m \) is doubled, the weight \( W \) will also double, assuming \( g \) remains constant.<br /><br />## Step 4: Describing Differences Between Mass and Weight<br />### - **Mass**: A measure of the amount of matter in an object, typically measured in kilograms (kg). It is a scalar quantity and does not change with location.<br />### - **Weight**: A measure of the gravitational force acting on an object, typically measured in newtons (N). It is a vector quantity and can change with the location due to varying gravitational forces.<br /><br />## Step 5: Weight on the Moon<br />### On the moon, the acceleration due to gravity is about \( \frac{1}{6} \) that on Earth. Thus, an object will weigh less on the moon than it weighs on Earth.