Skip to content

Course home

2.3 Forces and Newton's laws

2.3 Forces and Newton's laws

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970
Question 55

A high-precision surgical micro-robot of mass mmm grams is being navigated through a fluid medium under the influence of two primary forces, P\mathbf{P}P and Q\mathbf{Q}Q.

The forces are defined as follows:

P=(0.7i−3.2j) N \mathbf{P} = (0.7\mathbf{i} - 3.2\mathbf{j}) \text{ N} P=(0.7i−3.2j) N Q=(ki+0.5kj) N \mathbf{Q} = (k\mathbf{i} + 0.5k\mathbf{j}) \text{ N} Q=(ki+0.5kj) N

where kkk is a constant scalar.

The resulting acceleration of the micro-robot is measured to be (2.4i+0.8j) m s−2(2.4\mathbf{i} + 0.8\mathbf{j}) \text{ m s}^{-2}(2.4i+0.8j) m s−2.

Determine the value of kkk.

[5]
Markscheme

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.

Question bank