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2.3.7 Forces and Newton's laws

Question 4

A box $C\,$ of mass 3 kg is held at rest on a rough surface inclined at an angle $\alpha\,$ to the horizontal, where $cos⁡α=0.8\cos \alpha = 0.8$ . It is connected to a box $D\,$ of mass 7 kg by a light inextensible string passing over a smooth pulley. $D\,$ hangs vertically. The string is parallel to the slope. The coefficient of friction between $C\,$ and the plane is 0.25. The system is released from rest.

Find the tension in the string as the boxes accelerate.

[7]

Once $D\,$ reaches the floor, $C\,$ continues to move up the plane until it stops. Determine whether box $C\,$ will remain at rest in its highest position.

[2]

Suggest two refinements to the model that would make it more realistic.

[2]

Markscheme

2.3.7 Forces and Newton's laws Questions

A Level
Maths
2.3.7 Forces and Newton's laws

16 exam-style questions on CCEA A Level Maths 2.3.7 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.

2.3.7 Forces and Newton's laws

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2.3.7 Forces and Newton's laws

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Question 4

Find the tension in the string as the boxes accelerate.

[7]

Once $D\,$ reaches the floor, $C\,$ continues to move up the plane until it stops. Determine whether box $C\,$ will remain at rest in its highest position.

[2]

Suggest two refinements to the model that would make it more realistic.

[2]

Markscheme

2.3.7 Forces and Newton's laws Questions

A Level
Maths
2.3.7 Forces and Newton's laws

16 exam-style questions on CCEA A Level Maths 2.3.7 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.