|
|
STEP I 1990 question 12 solution
From The Student RoomTSR Wiki > Study Help > Subjects and Revision > Mathematics > STEP > STEP I 1990 question 12 solution Tension in spring using modulus of elasticity:
Tension in string by resolving vertically:
Tension in string by resolving horizontally:
As required. Using elastic potential energy = Using Pythagoras, the change in height is Change in gravitational potential energy = Energy is conserved, so When the particle comes to rest, v = 0, so:
Substituting for mg, we get:
Note that in 1990 calculators were allowed, so it is easy to numerically confirm that a possible solution for x is approximately 0.66:
Solution by Dystopia. |











, we get






