DHS 2023 JC1 Physics Revision (Set A)

Name: Index Number: Class: DUNMAN HIGH SCHOOL Holiday Home Revision Set A Year 5 Topic LO Q1 Measurement (l) / 5 Q2 Kinematics (e) / 8 Q3 Dynamics Work, Energy and Power (h), (i) (c), (f), (g), (k) / 9 Q4 Forces (d), (e), (g), (h), (m), (n) / 15 Q5 Motion in a Circle (c), (e), (f) / 6 Q6 Gravitational Field (e) / 3 Q7 Oscillations (b), (c), (d), (h), (i) / 10 Q8 Current of Electricity (c), (d), (e), (f), (i) / 20 Total / 66

2 @ DHS 2023 1 The speed v of a transverse wave on a uniform string is given by the expression m Tv l= where T is the tension in the string, l is its length and m is its mass. An experiment is performed to determine the speed v of the wave . The measurements are shown in Fig. 1. Quantity Measurement Percentage Uncertainty T 20 N ± 5% l 150 cm ± 1% m 9.5 g ± 2% Fig. 1 (a) Use the data in Fig. 1 to calculate v. v = ……………. m s−1 [2] (b) Express v with its appropriate uncertainty. v = ………………. ± ……………. m s−1 [3]

3 @ DHS 2023 2 An archer shoots an arrow with a velocity of 45.0 m s −1 at an angle of 50.0 o with the horizontal. An assistant standing on the level ground 150 m away from the launch point , throws an apple straight up with the minimum initial speed such that the arrow hits the apple. Air resistance is negligible. (a) Show that the time taken by the arrow to be exactly above the assistant is 5.19 s. [1] (b) Hence, or otherwise, determine the vertical height of the arrow when it is exactly above the assistant. vertical height of the arrow = …………… m [2] (c) Determine the minimum initial speed of the apple. minimum initial speed = ……………m s−1 [2] (d) The apple is thrown at time t after the arrow is launched. Determine t if the arrow is to hit the apple. t = …….……s [3]

4 @ DHS 2023 3 Fig. 2 shows three boxes A, B and C which are initially stationary. Box A of mass 1.5 kg is placed in front of a li ght s pring which is compressed 15 cm . The spring is then released and box A collides with box B of mass 1.5 kg on the smooth horizontal surface in a straight line. After the collision, boxes A and B continue to move and collide with box C which has half the mass of box A. All three boxes stick together and move at a common velocity. The three boxes then move up a rough plane inclined at 30 o with the hor izontal. The boxes experience a frictional force of 8.5 N through a distance s before coming instantaneously to rest. The spring has a spring constant of 1.33 kN m−1. Fig. 2 (a) State the principle of conservation of momentum. ……………………………………………………………………..…………………..….… ……………………………………………………………………..………………….… [2] (b) Determine the velocity of box A when it just loses contact with the spring. velocity = ….….…...………….. m s−1 [2] A 30o s C smooth horizontal surface rough inclined plane B A B C

5 @ DHS 2023 (c) Calculate the common velocity of the three boxes on the horizontal plane. velocity = …………….……….. m s−1 [2] (d) Determine the distance s. s = …….…….….………….. m [3]

6 @ DHS 2023 4 (a) State the two conditions necessary for the equil ibrium of a body acted upon by a number of forces. ……………………………………………………………………..…………………..….… ……………………………………………………………………..…………………..….… ……………………………………………………………………..………………….… [2] (b) A non-uniform beam of mass 20 kg and length 5 .0 m is supported by a cable and hinged to the wall as shown in Fig. 4.1. The beam supports a load of 5 .0 kg at one end and is in equilibrium. Fig. 4.1 (i) In the space below, draw a free body diagram of the forces acting on the beam. [2] 50º 70º 5.0 kg hinge beam cable

7 @ DHS 2023 (ii) If the tension in the cable is 120 N, calculate the position of the centre of gravity of the beam from the hinge. centre of gravity = ………….….………… m [2] (iii) Calculate the magnitude and direction of the force acting by the wall on the beam. force = ……………….………….. N direction = ………………….….……………………. [3]

8 @ DHS 2023 (c) (i) (ii) 4.2 4.2.

9 @ DHS 2023 (iii) 1. 2. 4.3. 4.4. 4.3 4.4

10 @ DHS 2023 5 A car of mass 1450 kg travels at a constant speed of 90.0 km h-1 in a circle of radius r along a banked track, which is inclined at an angle of 20 0 to the horizontal as shown in Fig. 5. Fig. 5 (a) The net vertical force on the car is zero. Hence, or otherwise, show that the normal contact force R on the car is 15.1 kN. [2] (b) Use the answer from (a) to calculate r. r = ………….. m [4]