Search This Blog

Thursday 22 March 2012

Force calculations

Force



1.             A car of mass 1000 kg travelling at 10 m/s stops in 4 s        

Calculate     a) the average deceleration.

                                    b) the braking force.



2.         An aeroplane accelerates uniformly from rest (0 m/s) to 200 m/s in 40 s.

            What force does it exert on a pilot whose mass is 90 kg?



3.         The valve of a cylinder on an engine containing 12 kg of compressed gas is opened       and the cylinder empties in 1min 40 sec. If the gas leaves its chamber at 25 m/s       find.

            a)         the acceleration of the gas.

            b)         the force exerted on the chamber.



4.         A bullet of mass 20 g travelling with a velocity of 300 m/s hits an earth bank and is          brought to rest in 0.2 s.

            Find      a) the deceleration of the bullet.

                                     b) the force it exerts on the earth bank.



5.         A car hits a wall and decelerates at 40 m/s2.  It exerts a force of 20 000 N on the wall.  What is the mass of the car?



6.         A stone of mass 0.5 kg falls into a sandpit exerting a force of 5N.  What is its     acceleration?



7.         A car of mass 750 kg stops uniformly in 5s.  If its initial velocity was 15 m/s calculate      the braking force.

Velocity time graphs






Friday 9 March 2012

Revision Power

Answers to worksheets

Power is the rate of doing work. Power is measured in watts (W). An object has a higher power if it does more work in a certain time, or if it takes less time to do a certain amount of work.

2

Person
Force (N)
Distance moved (m)
Work done (J)
Alice
  50
  3
150
Bernard
  10
10
100
Courtney
200
  1
200
Dionne
500
  0.3
150
Edward
  75
  2
150

3      Lowest power        Bernard (10 W)

                                      Alice (15 W)

                                      Courtney (20 W)

                                      Edward (25 W)

                                      Dionne (30 W)

1      70 x 9.8 x 5 = 3430 J
2      3430/7 = 490 W
3      The work done on each flight of stairs is the same as the one before.
4      The time taken to climb each flight of stairs is longer than the one before.
5      (Exact figures may vary slightly depending on whether pupils calculate each time separately from work/power or calculate the increase from the previous time directly.)
Flight of stairs
Work done in climbing flight (J)
Power (W) (to 1 d.p.)
Time to climb flight (s) (to 1 d.p.)
1
3430
490.0
  7.0
2
3430
465.5
  7.4
3
3430
442.2
  7.8
4
3430
420.1
  8.2
5
3430
399.1
  8.6
6
3430
379.2
  9.0
7
3430
360.2
  9.5
8
3430
342.2
10.0

6      Work = 3430 x 8 = 27 440 J, time = 67.5 s, Power = 406.5 W (to 1 d.p.)