A particle of mass 2 kg has acceleration (2i+j)(2\mathbf{i}+\mathbf{j})(2i+j) m s−2^{-2}−2. Three forces (3i−4j)(3\mathbf{i}-4\mathbf{j})(3i−4j) N, (ki+2j)(k\mathbf{i}+2\mathbf{j})(ki+2j) N and (−5i+4j)(-5\mathbf{i}+4\mathbf{j})(−5i+4j) N act on it.
Find kkk.
Verify that the j\mathbf{j}j-components satisfy Newton's second law.
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.