Answer:
(a) v = 1536640/ m^2.
(b) (i) 1186 m/s.
(ii) 52.4g .
Explanation:
(a) The equation is v = k / m^2 where k is the constant of variation.
When m = 49, v = 640 so 640 = k / 49^2
k = 640 * 49^2
= 1,536,640.
Therefore the relation is v = 1536640/ m^2.
(b) (i)
When m = 36g, the speed v = 1536640 / 36^2
= 1186 m/s.
(ii) When the speed is 560 m/s :-
560 = 1536640 / m^2
m^2 = 1536640 / 560
= 2744
mass m = √2744
= 52.4g