*If these questions are too easy/hard, please let me know so I can try adjusting them accordingly. (Also, there are some original questions on here and it would be great if there is no reposting of them)*
Q1. Two physics students are conducting accurate experiments to test Newton’s second law of motion (ΣF = ma). Each student is in a windowless railway carriage. One carriage (carriage A) is moving at a constant velocity of 0.9c. The other carriage (carriage B) is moving at 10 m s–1 and decelerating. Which one of the following best describes the likely results of their experiments? A. Only the experiment in carriage A confirms Newton’s second law of motion.
B. Only the experiment in carriage B confirms Newton’s second law of motion.
C. Neither experiment confirms Newton’s second law of motion.
D. Both experiments confirm Newton’s second law of motion.
[VCAA 2010 EXAM 1, Q5: Einstein's Special Relativity]Q2. A student drops a tennis ball from a 20m high building and 0.60s later, she throws a basketball with an initial velocity of 8m/s. How long will it take for the basketball to pass the tennis ball? [HSC 1980 Q3, 1 mark]Q3. A ball is thrown from a cliff with the initial velocity of 25ms-1. What is the ball's location and velocity after 3.00 seconds? (Neglect the size of the person throwing the ball.) Answer using coordinates (x,y) and ms-1.A diagram is provided for your reference:
[Original Question]Q4. A block of wood, with a piece of putty attached (total mass M1) is travelling at a constant speed U over a frictionless surface. It strikes a second block (M2) and the two move off together with an initial velocity V and initial kinetic energy K. The blocks are subjected to a constant frictional force F, and come to rest after travelling a distance d.Which of the following expressions relating to the kinetic energy of the system is correct?
A. ½M1U2 = Fd
B. ½M1U2 = ½(M1 + M2)V2
C. ½M1U2 > Fd
D. ½(M1 + M2)V2 - ½M1U2 = Fd
E. ½(M1 + M2)V2 > Fd
[HSC 1982 Q11, 1 mark]Q5. A local amusement park decides to copy a ride from another popular theme park. The new "cupcake ride" is inspired by an original circular ride which when someone travels at a fast enough speed, they will not slide down the wall. The new design is below the first diagram. A person with a mass of 60kg decides to test out a prototype of this ride. Assuming there is no friction, what is the minimum speed in ms-1 needed so the person doesn't slide down? (Note: The blue line is exactly in the centre of the person. Also, the first diagram is the one they copied from the theme part and the second diagram is the official prototype) [Original Question. Thank you Collin Hopkin's Notes for the inspiration!]Q6.
A motorcycle travels around a vertical circular path of radius 3.6 m at a constant speed. The combined mass of the rider and motorcycle is 200 kg. What is the minimum speed, in m s–1, at which the motorcycle must travel to maintain the circular path?
A. 0.42
B. 1.9
C. 5.9
D. 35
[2016 NSW Question 18, 1 mark]