A child’s race track is shown (not to scale) in the figure above | Complete Solution

A child’s race track is shown (not to scale) in the figure above. A toy car with a mass of 24.3 g is released from rest at the starting position. In the figure R = 19.1 cm and h = 63.9 cm.
What is the initial gravitational potential energy of the car?
______J
What is the speed of the car at the top of the loop?
______m/s
What is the magnitude of the acceleration of the car at the top of the loop?
_______m/s2


Water (viscosity = 8.90 × 10-4 Pa s, density = 1.00 ×103 kg/m3) flows along the pipe shown in the diagram, the diagram is not to scale. The first pipe (at the top) has a radius, R1 = 0.5460 m and the second pipe (at the bottom) has a radius, r2 = 0.2910 m. Water in the first pipe has a pressure of P1 = 1.175 atm and flows at a speed of v1 = 0.3120 ms-1. The height difference, h, between the two pipes is 10.1 m.


What is the speed of water along the second pipe?
_____ms-1
What is the pressure of water in the second pipe?
______atm

What is the rate at which the water looses gravitational potential energy?
______W