Q1. A 44.0 kg child is in a swing that is attached to ropes 1.60 m long. The acceleration of gravity is 9.81 m/s2. Find the gravitational potential energy associated with the child relative to the child's lowest position under the following conditions:
a) when the ropes are horizontal.
b) When the ropes make a 32.0? angle with the vertical.
c) At the bottom of the circular arc.
Q2. A syringe with a plunger of diameter 2 cm is attached to a hypodermic needle with a diameter of 2.4 mm. What minimum force (in N) should be applied to the plunger to inject into a vein where the pressure is 18 torr above atmospheric pressure?