Question EXE.2.SL.TZ0.2e
| Date | Example questions Example questions | Marks available | [Maximum mark: 4] | Reference code | EXE.2.SL.TZ0.2e |
| Level | SL | Paper | 2 | Time zone | TZ0 |
| Command term | Calculate | Question number | e | Adapted from | N/A |
There are eight wheels on each tram with a brake system for each wheel. A pair of brake pads clamp firmly onto an annulus made of steel.
The train comes to rest from speed v. Ignore the energy transferred to the brake pads and the change in the gravitational potential energy of the tram during the braking.
Calculate the temperature change in each steel annulus as the tram comes to rest.
Data for this question
The inner radius of the annulus is 0.40 m and the outer radius is 0.50 m.
The thickness of the annulus is 25 mm.
The density of the steel is 7860 kg m−3
The specific heat capacity of the steel is 420 J kg−1 K−1
[4]
Work leading to volume = 7.1 x 10−3 m3 ✓
Work leading to mass of steel = 55 .8 kg ✓
Kinetic Energy transferred per annulus =
= 110 kJ ✓
K ✓
