Question 1:

The correct formula for a moment (torque) is:

This corresponds to option B.

(Option C is the formula for momentum, not a moment.)

*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.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 2:

We use the moment formula:

Here:
Force = 5 N
Distance = 0.5 m

Now, the box is on the left-hand side of the pivot.
If you picture the beam, a downward force on the left side will cause the left side to go down and the right side to go up — that is an anticlockwise rotation about the pivot.

So the moment is 2.5 Nm anticlockwise.

Correct answer: D. 2.5 Nm anticlockwise.

*Both A.I. bots used could not get this right - both said clockwise! The silverback

*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.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 3:

For the beam to balance, the clockwise moment must equal the anticlockwise moment about the pivot.

We already have a 5 N box placed 0.5 m to the left of the pivot.
That produces a clockwise moment (assuming the diagram has left side down = clockwise):

Now we add a 10 N box on the right side (to produce an anticlockwise moment to balance).

Let d be its distance from the pivot (to the right).
The anticlockwise moment = 10×d.

Set moments equal:

10×d=2.5

d=0.25 m

So the 10 N box should be placed 0.25 m to the right of the pivot.

Correct answer: A. 0.25 m to the right of the pivot.

*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.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 4:

We use the moment formula:

We are given:
Moment = 4 Nm
Distance = 0.2 m

4=F×0.2

F=4/0.2=20 N

The minimum force required is 20 N.

Correct answer: D: 20 N.

*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.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 5:

Step 1: Identify forces and distances from pivot

Moment = force × perpendicular distance from pivot.
Sign convention: Let clockwise = positive.

• Left side 6 N at 12 cm: force down on left → rotation anticlockwise → +6×12=-72 Ncm

• Right side 8 N at 8 cm: force down on right → rotation clockwise → 8×8=+64 Ncm

Step 2: Resultant moment

Step 3: Interpret options

If clockwise is positive, resultant moment = 8 Ncm anticlockwise.

Correct answer: B: 8 Ncm anticlockwise.

*Both A.I. bots used could not get this right - both said clockwise again (see Q2)! The silverback

*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.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 6:

To balance the beam, the clockwise moment must equal the anticlockwise moment.

We have:

• 6 N weight at 12 cm to the left of the pivot.

• 8 N weight at x cm to the right of the pivot.

Moment calculation (using magnitude only, directions opposed for balance):

6×12=8×x

72=8x

x=72/8=9 cm

So the 8 N weight should be placed 9 cm to the right of the pivot.

Correct answer: B. 9 cm.

*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.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.

Question 7-10:

Let’s solve each row separately.

Row 1 (Abby and Charlie)
Abby (left): 600 N at 1.5 m → moment =600×1.5=900 Nm
Charlie (right): 900 N at d m

→ Charlie distance = 1.0 m

Row 2 (Borat and Elin)
Elin (right): 450 N at 2 m → moment =450×2=900 Nm
Borat (left): 750 N at d m

→ Borat distance = 1.2 m

Row 3 (Doris and Fred)
Fred (right): 570 N at 1.4 m → moment =570×1.4=798 Nm
Doris (left): W N at 2.1 m

→ Doris weight = 380 N

Row 4
Right side: Goh 400 N at 2.4 m → moment =400×2.4=960 Nm
Left side: W N at 1.6 m

→ Left side weight = 600 N

The person listed with a weight of 600 N is Abby

*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.
Grade Gorilla uses Gemini, Deepseek and a range of other A.I. chatbots to generate the saved responses. Some answers have had human intervention for clarity or where the A.I. has not been able to answer the question.