PHYSICS 1001/1901/1903 Mid-Semester Test SAMPLE

Transcription

1 AdvReg/sample PHYSICS 1001/1901/1903 Mid-Semester Test SAMPLE Surname SID First name Team no. (e.g. 6REG12) Q1 /4 Q2 /4 Q3 /4 Q4 /8 Q5 /5 Q6 /5 Q7 /10 Total /40 Duration 60 minutes + 5 minutes reading time. CLOSED BOOK test. Calculators may be used but NOT phones, tablets etc. Answers to be written on the test paper, in the box where provided. Questions do not all have the same value. All numerical answers must have appropriate units and significant figures DATA Free-fall acceleration at the Earth s surface g = 9.8 m.s 2

2 AdvReg/sample 2018 Semester 1 Page 2 of 7 Question 1 [Total: 4 marks] Estimate the diameter of a standard size basketball (2 marks) Based on your estimate in, estimate the volume of a standard size basketball. (2 marks)

3 AdvReg/sample 2018 Semester 1 Page 3 of 7 Question 2 [Total: 4 marks] The ruler shown below is used to measure the height of a table. Which of the following measurements is the correct measurement: 74.0 cm or cm? How many significant figures are there in your chosen answer for part? (c) What is the minimum uncertainty due to the equipment used? (d) Write down your answer for part with the minimum uncertainty for part (c) in the proper format.

4 AdvReg/sample 2018 Semester 1 Page 4 of 7 Question 3 [Total: 4 marks] Jenny and Ben are trying to investigate how long it would take a steel ball to roll down an inclined plane with length of 1 m, angled at 30. Jenny and Ben took turn to measure the time needed by using a stopwatch. Jenny s measurement is (0.59 ± 0.03) s, while Ben s measurement is (0.62 ± 0.02) s. Do their results agree or not? Explain. After some discussion, Jenny and Ben decided to repeat their measurements 10 times. Here are their results: Time (s) What is the mean of the above data set? (c) Given that the standard deviation (σ n 1 ) of the above data set is , and SEM = σ n 1 / n, what is the SEM of the above data set? (d) Quote your final answer for the time taken for the ball to roll down the ramp, in a proper format.

5 AdvReg/sample 2018 Semester 1 Page 5 of 7 Question 4 [Total: 8 marks] The mass of a cylindrical container is measured by a digital scale, and is found to be g. The height of the cylindrical container is 8.3 ± 0.2 cm and the diameter is 6.32 ± 0.05 cm. The container is half filled with an unknown liquid. The mass of the container with the unknown liquid indicated by the digital scale is g. Hints: The volume of a cylinder is given by V = Ah = πr 2 h. Density of an object is its mass divided by its volume ρ = m/v. If the reading of the digital scale was stable, what is the uncertainty of the mass of the container with the unknown liquid? Fill in the following values and their uncertainties: Quantity Value Uncertainty Mass of the liquid M Height of the liquid h Cross-sectional area A Volume of liquid V Density of liquid ρ (5 marks) (c) State your final result for the density of the liquid and its uncertainty in the proper format and in SI units. (2 marks)

6 AdvReg/sample 2018 Semester 1 Page 6 of 7 Question 5 [Total: 5 marks] You are cooking eggs in a teflon-coated pan. The coefficient of static friction between teflon and eggs is about Draw a free-body diagram showing all the forces on the egg, when the pan is tilted at an angle θ. What is the smallest angle from the horizontal that will cause the eggs to slide across the bottom of the pan? Question 6 [Total: 5 marks] The diagram below depicts two ice hockey pucks which can move across the ice with negligible friction. One puck has a mass four times as great as the other. Starting from rest, the pucks are pushed across the ice by identical forces F. Which puck will reach the finishing line first? Briefly explain your answer. It is observed at the finishing line that the more massive puck has greater momentum than the less massive one but that their kinetic energies are equal. Briefly justify why this would be so, in terms of physical principles.

7 AdvReg/sample 2018 Semester 1 Page 7 of 7 Question 7 [Total: 10 marks] A movie stuntman (mass 80.0 kg) stands on a window ledge 5.0 m above the floor. Grabbing a rope attached to a chandelier, he swings down to grapple with the movie s villain (mass 70.0 kg), who is standing directly under the chandelier. Assume that the stuntman s centre of mass moves downward by 5.0 m. He releases the rope just as he reaches the villain. Take the value of g as 9.80 m.s 2. The stuntman grabs and holds onto the villain. With what speed do the entwined foes start to slide across the floor? If the coefficient of kinetic friction of their bodies with the floor is µ k = 0.205, how far do they slide? THERE ARE NO MORE QUESTIONS.