STEM - Free Printable
Educational worksheet: STEM. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: STEM
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Show Answer Key & Explanations
Step-by-step solution for: STEM
Let's solve each question step by step using the formula:
> Weight = mass × gravity (g)
> where weight is in Newtons (N), mass in kilograms (kg), and g in N/kg.
We are given the surface gravity values for various celestial bodies:
| Body | Gravity (g) in N/kg |
|------------|---------------------|
| Mercury | 3.8 |
| Venus | 8.8 |
| Moon | 1.6 |
| Mars | 3.7 |
| Jupiter | 23.1 |
| Saturn | 9.0 |
| Uranus | 8.7 |
| Neptune | 11.0 |
| Pluto | 0.6 |
---
Use: Weight = 10 kg × g
a. The Moon
→ 10 × 1.6 = 16 N
b. Mars
→ 10 × 3.7 = 37 N
c. Saturn
→ 10 × 9.0 = 90 N
d. Pluto
→ 10 × 0.6 = 6 N
✔ Answers:
a. 16 N
b. 37 N
c. 90 N
d. 6 N
---
Use: Weight = 25 × g
a. Mercury
→ 25 × 3.8 = 95 N
b. Venus
→ 25 × 8.8 = 220 N
c. Jupiter
→ 25 × 23.1 = 577.5 N
d. Uranus
→ 25 × 8.7 = 217.5 N
✔ Answers:
a. 95 N
b. 220 N
c. 577.5 N
d. 217.5 N
---
Mass does not change with location — it’s the amount of matter. So:
a. Mercury → still 10 kg
b. Venus → still 10 kg
c. Neptune → still 10 kg
✔ Answer: 10 kg on all (mass is constant)
---
To stand up, you need to overcome your weight, which depends on gravity.
- The lower the gravity, the less force needed to stand up.
- The lowest gravity in the table is Pluto (0.6 N/kg).
So, it would be easiest to stand up on Pluto because gravity is weakest there.
✔ Answer: Pluto, because gravity is weakest (only 0.6 N/kg), so less effort is needed to lift your body.
---
a. The most weight
→ Weight = mass × g → highest g gives most weight
→ Highest g = Jupiter (23.1 N/kg)
→ So, Jupiter
b. The most mass
→ Mass doesn't change with location. You always have the same mass regardless of planet.
✔ Answers:
a. Jupiter
b. Same everywhere (mass doesn’t change)
---
Force = mass × gravity
On Mars, g = 3.7 N/kg
So, force = 15 × 3.7 = 55.5 N
But the question says "greater than..." — this might mean comparing to Earth?
Wait — let's think carefully.
On Earth, g ≈ 9.8 N/kg → 15 kg × 9.8 = 147 N
But the question says “you would be pulling with a force greater than...” — likely meaning greater than what?
But since you're on Mars, the force required is 55.5 N, which is less than on Earth.
But maybe the question means: "You would be pulling with a force greater than..." — possibly implying what is the minimum force needed?
Actually, perhaps it's asking: “You would be pulling with a force greater than…” — but no comparison is given.
Wait — re-read:
> "If you stood on Mars and lifted a 15 kg pack, you would be pulling with a force greater than..."
This seems incomplete — but likely it's meant to say: "greater than..." compared to something.
But looking at context, maybe it's just asking for the force, or perhaps it's a typo.
Alternatively, could it mean: "greater than zero"? That's trivial.
Or perhaps it's asking: What is the force? But it says "greater than..."
Wait — maybe the intended meaning is: "You would be pulling with a force greater than the weight on Earth?" — No, that’s false.
Actually, on Mars, the force is less than on Earth.
But perhaps the question is poorly worded.
Let’s assume it's asking: "You would be pulling with a force equal to..." — but it says "greater than".
Alternatively, maybe it's asking: "You would be pulling with a force greater than…" — and we’re to fill in the blank.
But since no options are given, perhaps the answer is simply:
> You would be pulling with a force of 55.5 N, which is greater than zero, but less than on Earth.
But the best interpretation is:
> The force you apply must be greater than the weight of the pack to lift it.
So, to lift it, you must pull with a force greater than 55.5 N.
✔ Answer: Greater than 55.5 N (since you need to overcome the weight)
So, final answer: greater than 55.5 N
---
To jump, you must push down harder than your weight to accelerate upward.
Your weight on Saturn = mass × g = 60 × 9.0 = 540 N
So, to jump, you must push with a force greater than 540 N
✔ Answer: 540 N
---
Use:
Weight = mass × g
→ mass = weight / g
On Mars, g = 3.7 N/kg
So, mass = 3330 / 3.7 = ?
Calculate:
3330 ÷ 3.7
Multiply numerator and denominator by 10:
33300 ÷ 37
Do division:
37 × 900 = 33,300
So, 33300 ÷ 37 = 900
So, mass = 900 kg
✔ Answer: 900 kg
---
Use:
g = weight / mass
= 16.2 N / 60 kg = ?
16.2 ÷ 60 = 0.27 N/kg
✔ Answer: 0.27 N/kg
---
## ✔ Final Answers Summary:
1.
a. Moon: 16 N
b. Mars: 37 N
c. Saturn: 90 N
d. Pluto: 6 N
2.
a. Mercury: 95 N
b. Venus: 220 N
c. Jupiter: 577.5 N
d. Uranus: 217.5 N
3.
a. Mercury: 10 kg
b. Venus: 10 kg
c. Neptune: 10 kg
4. Pluto – because gravity is weakest (0.6 N/kg), so less effort to stand up.
5.
a. Most weight: Jupiter
b. Most mass: Same everywhere (mass doesn't change)
6. Greater than 55.5 N (must exceed the weight to lift)
7. Greater than 540 N (to jump, must push harder than weight)
8. 900 kg
9. 0.27 N/kg
---
Let me know if you'd like this formatted as a printable answer sheet!
> Weight = mass × gravity (g)
> where weight is in Newtons (N), mass in kilograms (kg), and g in N/kg.
We are given the surface gravity values for various celestial bodies:
| Body | Gravity (g) in N/kg |
|------------|---------------------|
| Mercury | 3.8 |
| Venus | 8.8 |
| Moon | 1.6 |
| Mars | 3.7 |
| Jupiter | 23.1 |
| Saturn | 9.0 |
| Uranus | 8.7 |
| Neptune | 11.0 |
| Pluto | 0.6 |
---
1. How much would a 10 kg suitcase weigh on the surface of...?
Use: Weight = 10 kg × g
a. The Moon
→ 10 × 1.6 = 16 N
b. Mars
→ 10 × 3.7 = 37 N
c. Saturn
→ 10 × 9.0 = 90 N
d. Pluto
→ 10 × 0.6 = 6 N
✔ Answers:
a. 16 N
b. 37 N
c. 90 N
d. 6 N
---
2. How much would a 25 kg suitcase weigh on the surface of...?
Use: Weight = 25 × g
a. Mercury
→ 25 × 3.8 = 95 N
b. Venus
→ 25 × 8.8 = 220 N
c. Jupiter
→ 25 × 23.1 = 577.5 N
d. Uranus
→ 25 × 8.7 = 217.5 N
✔ Answers:
a. 95 N
b. 220 N
c. 577.5 N
d. 217.5 N
---
3. What would be the mass of a 10 kg suitcase be on...?
Mass does not change with location — it’s the amount of matter. So:
a. Mercury → still 10 kg
b. Venus → still 10 kg
c. Neptune → still 10 kg
✔ Answer: 10 kg on all (mass is constant)
---
4. If you were sitting, on which place in the above table would it be easiest to stand up? Why?
To stand up, you need to overcome your weight, which depends on gravity.
- The lower the gravity, the less force needed to stand up.
- The lowest gravity in the table is Pluto (0.6 N/kg).
So, it would be easiest to stand up on Pluto because gravity is weakest there.
✔ Answer: Pluto, because gravity is weakest (only 0.6 N/kg), so less effort is needed to lift your body.
---
5. On which place from the table above would you have...?
a. The most weight
→ Weight = mass × g → highest g gives most weight
→ Highest g = Jupiter (23.1 N/kg)
→ So, Jupiter
b. The most mass
→ Mass doesn't change with location. You always have the same mass regardless of planet.
✔ Answers:
a. Jupiter
b. Same everywhere (mass doesn’t change)
---
6. If you stood on Mars and lifted a 15 kg pack, you would be pulling with a force greater than...?
Force = mass × gravity
On Mars, g = 3.7 N/kg
So, force = 15 × 3.7 = 55.5 N
But the question says "greater than..." — this might mean comparing to Earth?
Wait — let's think carefully.
On Earth, g ≈ 9.8 N/kg → 15 kg × 9.8 = 147 N
But the question says “you would be pulling with a force greater than...” — likely meaning greater than what?
But since you're on Mars, the force required is 55.5 N, which is less than on Earth.
But maybe the question means: "You would be pulling with a force greater than..." — possibly implying what is the minimum force needed?
Actually, perhaps it's asking: “You would be pulling with a force greater than…” — but no comparison is given.
Wait — re-read:
> "If you stood on Mars and lifted a 15 kg pack, you would be pulling with a force greater than..."
This seems incomplete — but likely it's meant to say: "greater than..." compared to something.
But looking at context, maybe it's just asking for the force, or perhaps it's a typo.
Alternatively, could it mean: "greater than zero"? That's trivial.
Or perhaps it's asking: What is the force? But it says "greater than..."
Wait — maybe the intended meaning is: "You would be pulling with a force greater than the weight on Earth?" — No, that’s false.
Actually, on Mars, the force is less than on Earth.
But perhaps the question is poorly worded.
Let’s assume it's asking: "You would be pulling with a force equal to..." — but it says "greater than".
Alternatively, maybe it's asking: "You would be pulling with a force greater than…" — and we’re to fill in the blank.
But since no options are given, perhaps the answer is simply:
> You would be pulling with a force of 55.5 N, which is greater than zero, but less than on Earth.
But the best interpretation is:
> The force you apply must be greater than the weight of the pack to lift it.
So, to lift it, you must pull with a force greater than 55.5 N.
✔ Answer: Greater than 55.5 N (since you need to overcome the weight)
So, final answer: greater than 55.5 N
---
7. If a 60 kg person was standing on a platform at the surface of Saturn and they jumped, they would have to push with a force greater than...?
To jump, you must push down harder than your weight to accelerate upward.
Your weight on Saturn = mass × g = 60 × 9.0 = 540 N
So, to jump, you must push with a force greater than 540 N
✔ Answer: 540 N
---
8. The Curiosity rover on Mars currently has a weight of 3,330 N. What is its mass?
Use:
Weight = mass × g
→ mass = weight / g
On Mars, g = 3.7 N/kg
So, mass = 3330 / 3.7 = ?
Calculate:
3330 ÷ 3.7
Multiply numerator and denominator by 10:
33300 ÷ 37
Do division:
37 × 900 = 33,300
So, 33300 ÷ 37 = 900
So, mass = 900 kg
✔ Answer: 900 kg
---
9. A person with mass of 60 kg standing on the dwarf planet Ceres would weigh 16.2 N. What is the strength of gravity on the surface of Ceres?
Use:
g = weight / mass
= 16.2 N / 60 kg = ?
16.2 ÷ 60 = 0.27 N/kg
✔ Answer: 0.27 N/kg
---
## ✔ Final Answers Summary:
1.
a. Moon: 16 N
b. Mars: 37 N
c. Saturn: 90 N
d. Pluto: 6 N
2.
a. Mercury: 95 N
b. Venus: 220 N
c. Jupiter: 577.5 N
d. Uranus: 217.5 N
3.
a. Mercury: 10 kg
b. Venus: 10 kg
c. Neptune: 10 kg
4. Pluto – because gravity is weakest (0.6 N/kg), so less effort to stand up.
5.
a. Most weight: Jupiter
b. Most mass: Same everywhere (mass doesn't change)
6. Greater than 55.5 N (must exceed the weight to lift)
7. Greater than 540 N (to jump, must push harder than weight)
8. 900 kg
9. 0.27 N/kg
---
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of mass and weight worksheet answers.