For all of these questions, the gravitational field strength of the Earth, 'g' is taken to be 10 N/kg

 1. What is the unit used to measure energy and work done?

  • A. Watts (W)
  • B. Newtons (N)
  • C. Pascals (Pa)
  • D. Joules (J)

2. Which of these is the correct formula for gravitational potential energy (G.P.E.)?

(g is the 'Gravitational Field Strength' of the Earth)

  • A. G.P.E.= mass x g x height change
  • B. G.P.E.= mass x height change
  • C. G.P.E.= mass x height change ÷ g
  • D. G.P.E.= g x height change ÷ mass

3. If I lift a school bag of mass 5kg onto a shelf 2m up, the increase in G.P.E. will be....

  • A. 10 J
  • B. 20 J
  • C. 50 J
  • D. 100 J
4. A 100 g apple falls from a tree. apple

If it loses 2 J of G.P.E. What distance has it fallen?

  • A. 0.002 m
  • B. 2 m
  • C. 5 m
  • D. 500 cm

5. To calculate kinetic energy (K.E.) we need the velocity (v) and the mass (m).

Using this notation, the formula for K.E. is:

A.   K.E. = ½ m v  
B.   K.E. = m v  
C.   K.E. = ½ m v 2
D.   K.E. = m 2 v
Q6-8 This table shows the kinetic energy of different sports balls in a competition. What are the missing values?
Type of Ball Mass Velocity Energy
6. Bowling ball 2 kg 3 m/s
7.
Tennis ball 100 g 10 m/s
8. Netball 2 m/s 1 J
 

 

Q9 & 10. These questions are about a basketball drop.

 

9. A basketball of mass 0.6 kg is lifted to a height of 5 m. What is the G.P.E. gain at this height?

  • A. 0.5 J
  • B. 3 J
  • C. 5 J
  • D. 30 J

10. The ball is then dropped and all of this energy is eventually transferred (shifted) to kinetic energy.

Ignoring air friction, what would be the maximum velocity just before it hits the floor?

  • A. 7.07 m/s
  • B. 10 m/s
  • C. 3.16 m/s
  • D. 100 m/s
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Question 1:

The correct answer is:

D. Joules (J)

Joules are the SI unit for measuring energy and work done.


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Question 2:

The correct formula for gravitational potential energy (G.P.E.) is:

A. G.P.E. = mass × g × height change

Where:

So G.P.E. is measured in joules (J).


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 3:

Using the formula:

G.P.E.=m×g×h

Given:

G.P.E.=5×10×2=100 J

Correct answer: D. 100 J


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 4:

Let’s solve step by step.

Step 1: Write down known values

Step 2: Use G.P.E. formula

ΔG.P.E.=m×g×h

2=0.1×10×h

Step 3: Solve for h

2=1×h

h=2 m

Step 4: Match with options
2 m is option B.

Final answer: B. 2 m


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 5:

The correct formula for kinetic energy is:

C. K.E. = ½ m v²


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Question 6:

6. Bowling ball
Mass m=2 kg, velocity v=3 m/s

KE=½×2×(3)2

KE=1×9=9 J

✔ 9 J


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Question 7:

7. Tennis ball
Mass m=100 g=0.1 kg, velocity v=10 m/s

KE=½×0.1×(10)2

KE=0.05×100=5 J

✔ 5 J


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Question 8:

8. Netball
KE=1 J, v=2 m/s, find m.

1=½×m×(2)2

1=½×m×4

1=2×m

m=0.5 kg=500 g

✔ 0.5 kg (or 500 g)


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 9:

Using the formula for gravitational potential energy:

G.P.E.=m×g×h

Given:

G.P.E.=0.6×10×5=0.6×50=30 J

Correct answer: D. 30 J


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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Question 10:

We know all of the G.P.E. (30 J) is converted to kinetic energy just before hitting the ground (ignoring air friction).


Step 1: Write down known values

KE=30 J, m=0.6 kg, KE=12mv2

Step 2: Solve for v

30=½×0.6×v2

30=0.3×v2

v2=30/0.3 =100

v=√100=10 m/s


Step 3: Match with options
B. 10 m/s


*These A.I. responses have been individually checked to ensure they match the accepted answer, but explanations may still be incorrect. Responses may give guidance but the A.I. might not be able to answer the question! This is particularly the case for questions based on diagrams, which the A.I. typically cannot interpret.
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