Weight and Mass Problems

A dog has a mass of 15 kg. What is its weight on Earth?

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Answer explanation

• Weight = Mass * Acceleration due to gravity.

• Calculation: Weight = 15 kg * 9.81 m/s² = 147 N

Tags

NGSS.MS-PS2-4

A book has a weight of 2 N on Earth. What is its mass?

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Answer explanation

• Mass = Weight / Acceleration due to gravity.

• Calculation: Mass = 2 N / 9.81 m/s² ≈ 0.204 kg

A person weighs 750 N on Earth. What would be their weight on Jupiter, where the acceleration due to gravity is about 24.9 m/s²?

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Answer explanation

Calculation: Weight = 750 N * (24.9 m/s² / 9.81 m/s²) ≈ 18,675 N

A brick has a weight of 50 N on the moon. What is its mass on Earth?

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Answer explanation

The mass of an object remains constant regardless of its location. So, if a brick has a weight of 50 N on the moon, its mass on Earth would also be 50 N.

However, we can calculate the mass using the formula:

Mass = Weight / Acceleration due to gravity

On the moon, the acceleration due to gravity is approximately 1.6 m/s². So:

Mass = 50 N / 1.6 m/s² ≈ 31.25 kg

Tags

NGSS.MS-PS2-4

A spacecraft orbits Venus, where the acceleration due to gravity is about 8.87 m/s². If an astronaut has a mass of 65 kg, what would their weight be on Venus?

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Answer explanation

• the astronaut's mass remains constant, but their weight changes due to the different acceleration due to gravity on Venus.

• Calculation: Weight = 65 kg * 8.87 m/s² ≈ 575.55 N

Tags

NGSS.MS-PS2-4

A feather has a weight of 0.03 N on the moon. What is its mass?

• The acceleration due to gravity on the moon is about 1.6 m/s².

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Answer explanation

Weight (W) = Mass (m) * Acceleration due to gravity (g)  

Rearranging the formula to solve for mass:

Mass (m) = Weight (W) / Acceleration due to gravity (g)

Substituting the given values:

Mass (m) = 0.03 N / 1.6 m/s²

Calculating:

Mass (m) ≈ 0.01875 kg

Tags

NGSS.MS-PS2-4

A spacecraft orbits a planet. The spacecraft has a mass of 1000 kg and experiences a gravitational force of 5000 N. What is the acceleration due to gravity on this planet?

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Answer explanation

Solution:

1. Use the formula: Weight (W) = mass (m) * acceleration due to gravity (g)

2. Rearrange the formula to find g: g = W / m

3. Substitute the values: g = 5000 N / 1000 kg

4. Calculate and answer: g = 5 m/s²

Tags

NGSS.HS-PS2-1

NGSS.HS-PS2-4

Measure of the amount of matter inside an object

• Weight
• Density
• Mass
• Gravity

The _____ in an object depends on how much gravity is acting upon an object

• mass
• density
• volume
• weight

Tags

NGSS.MS-PS2-4

Is the unit of weight

• Newtons (N)

• Miles (M)

• Joules (J)

• Kilograms (kg)

Tags

NGSS.MS-PS2-4