Grade 11 Physics Homework 2. D. Distance moved in a given direction (1) P L
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1 Grade 11 Physics Homework 2 1. Which one of the following is a correct definition of displacement? A. Distance from a fixed point B. Distance moved from a fixed point C. Distance from a fixed point in a given direction D. Distance moved in a given direction 2. The minute hand of a clock hung on a vertical wall has length L. P L The minute hand is observed at the time shown above and then again, 30 minutes later. What is the displacement of, and the distance moved by, the end P of the minute hand during this time interval? displacement distance moved A. 2L vertically downwards πl B. 2L vertically upwards πl C. 2L vertically downwards 2L D. 2L vertically upwards 2L 3. Two stones, X and Y, of different mass are dropped from the top of a cliff. Stone Y is dropped a short time after stone X. Air resistance is negligible. Whilst the stones are falling, the distance between them will A. decrease if the mass of Y is greater than the mass of X. B. increase if the mass of X is greater than the mass of Y. C. decrease whether the mass of X is greater or less than the mass of Y. D. increase whether the mass of X is greater or less than the mass of Y. 1
2 4. A ball, initially at rest, takes time t to fall through a vertical distance h. If air resistance is ignored, the time taken for the ball to fall from rest through a vertical distance 9h is A. 3t. B. 5t. C. 9t. D. 10t. 5. A raindrop falling through air reaches a terminal velocity before hitting the ground. At terminal velocity, the frictional force on the raindrop is A. zero. B. less than the weight of the raindrop. C. greater than the weight of the raindrop. D. equal to the weight of the raindrop. 6. A sailing boat is moving with constant velocity v to the right parallel to the dock. Sailor Hulot, up on the mast, drops his telescope at the moment he is opposite Lucie who is standing on the dock. Which one of the following best shows the path of the falling telescope as seen by Lucie? A. B. C. D. 7. A ball is released from rest near the surface of the Moon. Which one of the following quantities increases at a constant rate? A. Only distance fallen B. Only speed C. Only speed and distance fallen D. Only speed and acceleration 2
3 8. A car is heading due East at a speed of 10 m s 1. A bird is flying due North at a speed of 4 m s 1, as shown below. N 4 m s W S E Car 10 m s Bird Which one of the following vectors represents the velocity of the bird relative to a person in the car? A. B. C. D. 9. Peter and Susan both stand on the edge of a vertical cliff. V (Peter) V (Susan) Susan throws a stone vertically downwards and, at the same time, Peter throws a stone vertically upwards. The speed V with which both stones are thrown is the same. Neglecting air resistance, which one of the following statements is true? A. The stone thrown by Susan will hit the sea with a greater speed than the stone thrown by Peter. B. Both stones will hit the sea with the same speed no matter what the height of the cliff. C. In order to determine which stone hits the sea first, the height of the cliff must be known. D. In order to determine which stone hits the sea first both the height of the cliff and the mass of each stone must be known. Sea 3
4 10. Juan is standing on the platform at a railway station. A train passes through the station with speed 20 m s 1 in the direction shown measured relative to the platform. Carmen is walking along one of the carriages of the train with a speed of 2.0 m s measured relative to the carriage in the direction shown. Velocity is measured as positive in the direction shown on the diagram. 20 ms Carmen 2.0 ms Juan platform The velocity of Carmen relative to Juan is velocity measured as a positive in this direction A. 22 m s. B. 8 m s. C. +18 m s. D. +22 m s. 11. A stone X is thrown vertically upwards with speed v from the top of a building. At the same time, a second stone Y is thrown vertically downwards with the same speed v as shown. v X Y v Building Air resistance is negligible. Which one of the following statements is true about the speeds with which the stones hit the ground at the base of the building? A. The speed of stone X is greater than that of stone Y. B. The speed of stone Y is greater than that of stone X. C. The speed of stone X is equal to that of stone Y. D. Any statement about the speeds depends on the height of the building. 4
5 12. Linear motion (a) (b) Define the term acceleration. An object has an initial speed u and an acceleration a. After time t, its speed is v and it has moved through a distance s. The motion of the object may be summarized by the equations v = u + at, s = v u. 1 t 2 (i) State the assumption made in these equations about the acceleration a. (ii) Derive, using these equations, an expression for v in terms of u, s and a. (c) The shutter speed of a camera is the time that the film is exposed to light. In order to determine the shutter speed of a camera, a metal ball is held at rest at the zero mark of a vertical scale, as shown below. The ball is released. The shutter of a camera is opened as the ball falls. 0 cm scale 196 cm camera 208 cm The photograph of the ball shows that the shutter opened as the ball reached the 196 cm mark on the scale and closed as it reached the 208 cm mark. Air resistance is negligible and the acceleration of free fall is 9.81 m s 2. (i) Calculate the time for the ball to fall from rest to the 196 cm mark. (ii) Determine the time for which the shutter was open. That is, the time for the ball to fall from the 196 cm mark to the 208 cm mark. (Total 9 marks) 5
6 13. This question is about throwing a stone from a cliff. Antonia stands at the edge of a vertical cliff and throws a stone vertically upwards. v = 8.0ms The stone leaves Antonia s hand with a speed v = 8.0ms. The acceleration of free fall g is 10 m s 2 and all distance measurements are taken from the point where the stone leaves Antonia s hand. Sea (a) Ignoring air resistance calculate (i) the maximum height reached by the stone. (ii) the time taken by the stone to reach its maximum height. The time between the stone leaving Antonia s hand and hitting the sea is 3.0 s. (b) Determine the height of the cliff. (3) (Total 6 marks) 6
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