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A slim rod 2.0 m long has two small 0.5 kg bodies attached at its two ends and a 0.25 kg body at its midpoint. Find the moment of inertia of the system of masses about an axis perpendicular to the rod and intersecting it at 0.50 m from one end.
Assume that the rod has negligible mass.
A GO bus is travelling along the QEW when it enters a construction zone. This causes the GO bus to decelerate at 1.80 m/s . If it takes the GO bus 35 s to stop, calculate the displacement mtravelled by the GO bus to stop?
A baseball player tosses a baseball upward giving it an initial velocity of 8.20 m/s. How long does it take for the baseball to reach its maximum height?
Upon entering a straight section of highway, Batman accelerates the Batcycle for 7.50 s, increasing its velocity from 24 m/s [S] to 38 m/s [S]. Calculate the Batcycle’s displacement while accelerating.
Speedy Gonzales and the Road Runner are racing each other in the 100 m long dash. Speedy travels at a constant velocity of 6.80 m/s for the entire race and the Road Runner accelerates 2 mfrom rest at 1.60 m/s . Who wins the race?
During an experiment to determine the dimensions of a cylinder, a scholar used a vernier calliper and a balance and recorded the following:Mass of cylinder, m = (52.5 ± 0.1)gHeight of cylinder, h = (18.0 ± 0.1)mmDiameter of cylinder, d = (22.0 ± 0.1)mmDeduce the density of the cylinder, DDeduce the relative error in DDeduce the maximum error in DDeduce the percentage error in m Deduce the percentage error in hDeduce the percentage error in dDeduce the total percentage error in D
Suppose the speedometer of a vehicle covers the following speeds in kmh-1 at the end of successive intervals of 2 seconds, 37.8, 51.7, 63.3, 72.5, 79.8, 85.0, 89.0, 91.4. Plot the velocity – time graph for the journey.Obtain from your graph the distance covered in meters when the speed increased from 79 to 89kmh-1.Deduce the acceleration in ms-1 if the speeds are 49kmh-1, 69kmh-1 and 89kmh-1.
how much kinetic energy does a 2500kg minivan traveling at 35m/s have?
A large nitrogen gas bubble is assumed to expand reversibly and adiabatically as it rises through a liquid at 20°C and eventually breaks on the surface. Initially the volume of the bubble is 2 litres and the pressure of the gas in the bubble is 250 kPa. The final pressure of the gas in the bubble just before it reaches the surface is 100 kPa. Using the additional information below, calculate the following:
i) The number of moles of gas in the bubble.
[4 marks]
ii) The final volume of the bubble (just before it reaches the liquid surface).
[4 marks]
iii) The final temperature of the bubble.
[4 marks]
iv) The work done by the expanding bubble.
4 marks
Gas constant 𝑅 = 8.314 JK-1mol-1
Constant pressure molar heat capacity of nitrogen:𝐶𝑝,𝑚 = 29.125 JK-1mol-1
A hydroelectric power station generates electricity by using 500 kg s-1 of water which falls from the storage reservoir through a height of 7.5m before flowing over the turbine blades. Calculate the maximum theoretical power that can be generated by the turbine.
Gas constant 𝑅 = 8.314 JK-1mol-1
Constant pressure molar heat capacity of nitrogen:𝐶𝑝,𝑚 = 29.125 JK-1mol-1
