(a) P varies directly as the square of Q and inversely as R. When P = 36, Q = 6 and R = 4.
(i) Find the relationship between P, Q and R.
(ii) Find the value of P when Q = 10 and R = 25.
(iii) Find the value of R when P = 48 and Q = 8.

(b) The force F Newtons acting on a body varies directly as the mass m kg of the body and directly as its acceleration a m/s². When F = 120 N, m = 5 kg and a = 6 m/s².
(i) Find the constant of variation.
(ii) Find the acceleration of a body of mass 8 kg when the force acting on it is 200 N.

Question

(a) P varies directly as the square of Q and inversely as R. When P = 36, Q = 6 and R = 4. 
    (i) Find the relationship between P, Q and R.
    (ii) Find the value of P when Q = 10 and R = 25.
    (iii) Find the value of R when P = 48 and Q = 8.

(b) The force F Newtons acting on a body varies directly as the mass m kg of the body and directly as its acceleration a m/s². When F = 120 N, m = 5 kg and a = 6 m/s².
    (i) Find the constant of variation.
    (ii) Find the acceleration of a body of mass 8 kg when the force acting on it is 200 N.

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