(a) Triangle law of vector addition states that if three forces are in equilibrium, they can be represented in magnitude and direction by the three sides of a triangle taken in order.
(b) Physical quantities associated with equations of motion are:
- time
- speed/ velocity
- distance or displacement and acceleration.
(c)
(d)
W = \(\frac{1}{2}Ke^2\)
K = \(\frac{2W}{e^2} = \frac{2 \times 10}{\frac{5}{100}} = 8000 NM^{-1}\)
(ii) F = Ke = 800 x \(\frac{5}{100}\)
= 400N
(iii) F = Ma
a = \(\frac{F}{M} = \frac{400}{2}\) = 200 ms\(^{-2}\)
(iv) Initial velocity U\(_p\) of the block
P = 200 x 0.25
= 50 ms\(^{-1}\)
but \(M_pU_p + M_qU_q = (M_p + M_Q)\)
2 x 50 + 4 x 0 = V(2 + 4)
V = \(\frac{100}{6} = 16.7 ms^{-1}\)
