A particle of mass 4 kg is acted on by two forces [(2λ+3)i+(3λ−4)j][(2\lambda+3)\mathbf{i}+(3\lambda-4)\mathbf{j}][(2λ+3)i+(3λ−4)j] N and (5i−2j)(5\mathbf{i}-2\mathbf{j})(5i−2j) N.
The acceleration of the particle is in the direction i+j\mathbf{i}+\mathbf{j}i+j.
Find λ\lambdaλ.
Find the magnitude of the acceleration.
106 exam-style questions on WJEC A Level Maths 4.9 Forces and Newton's laws (A-level only), covering 4.9.1 Forces and Newton's laws (A-level only), 4.9.2 Forces and Newton's laws (A-level only), 4.9.3 Forces and Newton's laws (A-level only), 4.9.4 Forces and Newton's laws (A-level only), and 4.9.5 Forces and Newton's laws (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.