IB Physics Harder Questions
/- Two parallel wires each of length 2.00 m and mass 50.0 g are supported from the same point by light insulating strings of length 1.00 m and carry equal currents of 100.0 A in opposite directions. Determine the angle between the strings. (5.18°)
- Two point charges of +6.00 μC and mass 50.0 g are suspended from a point by two light insulating threads of length 37.0 cm. Find the angle made by each string with the vertical when the charges are in equilibrium. (58.8°)
- A 1200 kg car rounds a curve of radius 70 m banked at an angle of 12°. If the car is travelling at a constant speed of 90kmh -1 , determine the magnitude of the friction force between the tyres and the road. (8035N)
- A bicycle and rider of total mass 75.0 kg can coast down a 4.00° hill at a constant speed of 10.0 kmh-1. At maximum exertion the cyclist can descend the hill at a speed of 30.0 kmh-1. Using the same power, at what speed can the cyclist climb this hill? Assume that the drag force on the cyclist is proportional to the square of the speed of the cyclist. (27.7 kmh-1)
- A ball is tied to a string of length L the other end of the string being fixed. The string is held horizontal and the ball is released from rest. A peg is located a distance 0.8L directly below the point of attachment of the string. Find the speed of the ball when it reaches the top of its circular path about the peg.
- Tarzan's problem. A rope of length 4.00 m hangs from a tree branch at the edge of a cliff. Tarzan runs at 10.0 ms-1 and grabs the rope at a height of 2.00 m. What is the maximum width of the valley that he can jump across? (13.6m, lets go of rope at 37.76° to the vertical). See The Physics Teacher, Jan 2014, page 6 for references.
- Tarzan tries again. Tarzan needs to jump across a valley of width 15.0 m. If the rope length and grab height are the same as in the previous problem, what is the least speed at which he must run if he is to reach the other side? (10.6 ms-1, lets go at 38.46° to the vertical)
