FSG Exercises Konstantinos 2
I walk down a long street at 1 m s−1 for an hour. During this time I count the number of trams that pass me by. Knowing that they follow a regular timetable in both directions I am initially surprised to note that only 15 trams overtake me, whereas 20 passed me head-on. What is the average speed of the trams? (Answer in m/s I.e. 12)
A race has 2021 entrants, all numbered from 1 to 2021 at random. What is the probability that the first three runners to cross the finish line are numbered in ascending order? (i.e. 1/55)
A ball of weight 500 N is suspended from the apex of the structure shown in the figure. The structure is made of two trusses, each of length 3.0 m and mass 40 kg. A 3.0 m horizontal rope connects the trusses, tied a sixth of the way up the trusses. If the structure were placed on an ice-rink, calculate the resulting tension in the rope. (Answer in Newtons I.e. 680)
Hayley and Rob offer to paint the outside of our house. Hayley claims she can do the job in 2 days (working continuously). Rob says he’ll complete the job in 3 days. If they are both hired to work together, how long should it take? (i.e. 5.7)
A ball is at rest at the top of a frictionless hill. It is then given a slight nudge and speeds up to 4 ms−1 at the bottom of the hill. If the ball had a speed of 3 ms−1 at the top of the hill (instead of being stationary), what would its speed now be at the bottom? (Answer in m/s I.e. 12)
A 10×10×10 cube is constructed from a thousand unit cubes. How many of the unit cubes have at least one face on the surface of the larger cube? (i.e. 1522)
A ball of mass 0.1 kg bounces on a hard surface. Every time it hits the floor, it loses a quarter of its kinetic energy. If the ball is released from a height of 1.00 m, after how many bounces will the ball bounce no higher than 0.25 m? (i.e. 12)
After the 3rd bounce
After the 4th bounce
After the 5rd bounce
After the 6th bounce
The 2's complement of a binary no. Is obtained by adding.....to its 1's complement
0
1
12
None of the above
The use of the break statement in a switch statement is
Optional
Compulsory
Not allowed. It gives an error message
To check an error
None of the above
It’s finally time for a battle to end the long-running dispute between pirates and ninjas. They face off at 90 m. The pirate limps towards the ninja at 2 m s−1 , while the ninja glides towards the pirate at twice the speed. It is only a matter of time before they collide and crush the loyal parrot which repeatedly flies back and forth at a constant speed of 8 m s−1 , elastically bouncing off the two. What is the total distance the parrot travels before being crushed?
100m
120m
150m
145m
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