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2.3 Forces and Newton's laws

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Question 38

A precision-controlled submersible of mass m m\,m is being tested in a deep-water tank. It moves under the influence of two horizontal forces, F1\mathbf{F}_1F1​ and F2\mathbf{F}_2F2​.

It is given that

F1=(2.5i−14.8j) N \mathbf{F}_1 = (2.5\mathbf{i} - 14.8\mathbf{j}) \text{ N} F1​=(2.5i−14.8j) N F2=(0.4ki+1.2kj) N \mathbf{F}_2 = (0.4k\mathbf{i} + 1.2k\mathbf{j}) \text{ N} F2​=(0.4ki+1.2kj) N

where k k\,k is a constant.

The submersible experiences an acceleration of (1.5i+2j) m s−2(1.5\mathbf{i} + 2\mathbf{j}) \text{ m s}^{-2}(1.5i+2j) m s−2.

Determine the value of kkk.

[4]
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2.3 Forces and Newton's laws Questions

  1. A Level
  2. /Maths
  3. /2.3 Forces and Newton's laws

136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.

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