User:Inconspicuum/Physics (A Level)/Mechanics 1 Questions

From Wikibooks, open books for an open world
Jump to navigation Jump to search

Vectors[edit | edit source]

  1. Which of the following are vectors?
    • 20 cm
    • 9.81 ms-2 towards the centre of the earth
    • 5 km south-east
    • 500 ms-1 on a bearing of 285.3°
  2. A displacement vector a is the resultant vector of two other vectors, 5 m north and 10 m south-east. What does a equal, as a displacement and a bearing?
  3. If I travel at a velocity of 10 ms-1 on a bearing of 030°, at what velocity am I travelling north and east?
  4. An alternative method of writing vectors is in a column, as follows:

, where x and y are the vertical and horizontal components of the vector respectively. Express |a| and the angle between a and in terms of x and y.

  1. A more accurate method of modelling the trajectory of a ball is to include air resistance as a constant force F. How would this be achieved?

Graphs[edit | edit source]

  1. In the following distance-time graph, what is the velocity 4 seconds after the beginning of the object's journey?

2a)Describe this person's movements. 2b)What is the velocity at 12 seconds?

  1. In the following velocity-time graph, how far does the object travel between 7 and 9 seconds?

  1. What is the object's acceleration at 8 seconds?
  2. A car travels at 10ms-1 for 5 minutes in a straight line, and then returns to its original location over the next 4 minutes, travelling at a constant velocity. Draw a distance-time graph showing the distance the car has travelled from its original location.
  3. Draw the velocity-time graph for the above situation.
  4. The velocity of a ball is related to the time since it was thrown by the equation . How far has the ball travelled after 2 seconds?

Kinematics[edit | edit source]

  1. A person accelerates from a speed of 1 ms-1 to 1.7 ms-1 in 25 seconds. How far has he travelled in this time?
  2. A car accelerates at a rate of 18 kmh-2 to a speed of 60 kmh-1, travelling 1 km in the process. How fast was the car travelling before it travelled this distance?
  3. A goose in flight is travelling at 4 ms-1. It accelerates at a rate of 1.5 ms-2 for 7 seconds. What is its new speed?
  4. How far does an aeroplane travel if it accelerates from 400 kmh-1 at a rate of 40 kmh-2 for 1 hour?

Forces and Power[edit | edit source]

  1. I hit a ball of mass 5g with a cue on a billiards table with a force of 20N. If friction opposes me with a force of 14.2N, what is the resultant acceleration of the ball away from the cue?
  2. A 10g ball rolls down a 1.2m high slope, and leaves it with a velocity of 4ms-1. How much work is done by friction?
  3. An electric train is powered on a 30kV power supply, where the current is 100A. The train is travelling at 90 kmh-1. What is the net force exerted on it in a forwards direction?