Question

3a - 1 mastery check: mass vs. weight
version a

1. match the following terms to their description.

mass force of gravity between two objects
weight acceleration due to gravity; gravitational field
g density of an object
amount of stuff in an object

1. at the vet, mica the cat is measured at 4.5 kg. what is his:

mass?	weight?

1. write the equation that allows us to convert between mass and

weight. underneath, identify the units we use to measure each
variable.

____ = __ x ____

1. what is kathy’s mass if her bathroom scale reads 740 n?
2. the gravitational field strength on mars is 3.7 m/s². what is

kathy’s mass on mars?

Explanation:

Question 1:

• Mass: The amount of matter (stuff) in an object, so matches "amount of stuff in an object".
• Weight: The force due to gravity between an object and a celestial body (like Earth), so matches "force of gravity between two objects".
• \( g \): Represents acceleration due to gravity (gravitational field strength), so matches "acceleration due to gravity; gravitational field". The "density of an object" is incorrect for all, likely a distractor.

Step 1: Determine Mass

Mass is the amount of matter, measured in kilograms (kg). The vet measured Mica at 4.5 kg, so this is the mass.

Step 2: Calculate Weight

Weight (\( W \)) is calculated using \( W = m \times g \), where \( g = 9.8 \, \text{m/s}^2 \) (on Earth). Substitute \( m = 4.5 \, \text{kg} \):
\( W = 4.5 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 44.1 \, \text{N} \) (Newtons, the unit of force/weight).

The equation relating mass and weight is \( W = m \times g \), where:

• \( W \) (Weight) is measured in Newtons (N),
• \( m \) (Mass) is measured in kilograms (kg),
• \( g \) (acceleration due to gravity) is measured in meters per second squared (\( \text{m/s}^2 \)) (or Newtons per kilogram, \( \text{N/kg} \), which is equivalent).

Answer:

• Mass: amount of stuff in an object
• Weight: force of gravity between two objects
• \( g \): acceleration due to gravity; gravitational field

Question 2: