DP Physics (last assessment 2024)
Question 22M.2.HL.TZ2.b.ii
| Date | May 2022 | Marks available | [Maximum mark: 1] | Reference code | 22M.2.HL.TZ2.b.ii |
| Level | HL | Paper | 2 | Time zone | TZ2 |
| Command term | Show that | Question number | b.ii | Adapted from | N/A |
b.ii.
[Maximum mark: 1]
22M.2.HL.TZ2.b.ii
Airboats are used for transport across a river. To move the boat forward, air is propelled from the back of the boat by a fan blade.
An airboat has a fan blade of radius 1.8 m. This fan can propel air with a maximum speed relative to the boat of 20 m s−1. The density of air is 1.2 kg m−3.
In a test the airboat is tied to the river bank with a rope normal to the bank. The fan propels the air at its maximum speed. There is no wind.
Show that the tension in the rope is about 5 kN.
[1]
Markscheme
«force = Momentum change per sec = = » 244 x 20 OR 4.9 «kN» ✓
Allow use of 240
