Browsing as Guest. Progress, bookmarks and attempts are disabled.
Log in to track your work.
Nov 2016 p42 q1
3972
A particle of mass 2 kg is initially at rest on a rough horizontal plane. A force of magnitude 10 N is applied to the particle at 15° above the horizontal. It is given that 10 s after the force is applied, the particle has a speed of 3.5 m s-1.
(i) Show that the magnitude of the frictional force is 8.96 N, correct to 3 significant figures.
(ii) Find the coefficient of friction between the particle and the plane.
Solution
(i) Using the equation of motion, the acceleration is given by:
\(v = u + at\)
\(3.5 = 0 + 10a\)
\(a = 0.35 \text{ m/s}^2\)
Applying Newton's second law horizontally:
\(10\cos(15^{\circ}) - F = 2 \times 0.35\)
\(F = 10\cos(15^{\circ}) - 0.7\)
\(F = 8.96 \text{ N}\)
(ii) Resolving forces vertically, the normal reaction \(R\) is: