1. A small electrically charged sphere is suspended vertically from a thread. An oppositely charged rod is brought close to the sphere such that the sphere is in equilibrium when displaced from the vertical by an angle of 45°.
Which one of the following best represents the free body diagram for the sphere?
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2. A bird of weight W lands at the midpoint of a horizontal wire stretched between two poles. The magnitude of the force exerted by each pole on the wire is F.
The bird will be in equilibrium if
A. 2F > W.
B. 2F = W.
C. 2F < W.
D. F = W.
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3. A uniform metal bar XY of weight W is hung from a horizontal support at point P by two wires of negligible mass.
Each wire makes an angle q with the vertical.
Which of the following is equal to the tension T in one of the wires?
A.
B.
C.
D.
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4. The diagram below shows a boat that is about to cross a river in a direction perpendicular to the bank at a speed of 0.8 m s–1. The current flows at 0.6 m s–1 in the direction shown.
The magnitude of the displacement of the boat 5 seconds after leaving the bank is
A. 3 m.
B. 4 m.
C. 5 m.
D. 7 m.
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5. Natalie measures the mass and speed of a glider. The percentage uncertainty in her measurement of the mass is 3% and in the measurement of the speed is 10%. Her calculated value of the kinetic energy of the glider will have an uncertainty of
A. 30%.
B. 23%.
C. 13%.
D. 10%.
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6. Two forces of magnitudes 7 N and 5 N act at a point. Which one of the following is not a possible value for the magnitude of the resultant force?
A. 1 N
B. 3 N
C. 5 N
D. 7 N
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7. Which one of the following is a scalar quantity?
A. Pressure
B. Impulse
C. Magnetic field strength
D. Weight
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8. Two objects X and Y are moving away from the point P. The diagram below shows the velocity vectors of the two objects.
Which of the following velocity vectors best represents the velocity of object X relative to object Y?
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9. A student moves between two points P and Q as shown below.
The displacement from P in the x-direction is dX. The displacement from P in the y-direction is dY. The resultant displacement from P is dR.
Which of the following diagrams shows the three displacements from point P?
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10. The radius of a loop is measured to be (10.0 ± 0.5) cm. Which of the following is the best estimate of the uncertainty in the calculated area of the loop?
A. 0.25%
B. 5%
C. 10%
D. 25%
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11. Which one of the following measurements is stated correctly to two significant digits?
A. 0.006 m
B. 0.06 m
C. 600 m
D. 620 m
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12. The diagram below shows two vectors, x and y.
Which of the vectors below best represents the vector c that would satisfy the relation
c=x + y?
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13. The length of a rod is measured using part of a metre rule that is graduated in millimetres, as shown below.
Which one of the following is the measurement, with its uncertainty, of the length of the rod?
A. 5 ± 0.1 cm
B. 5 ± 0.2 cm
C. 5.0 ± 0.1 cm
D. 5.0 ± 0.2 cm
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14. The volume of the Earth is approximately 1012 km3 and the volume of a grain of sand is approximately 1 mm3. The order of magnitude of the number of grains of sand that can fit in the volume of the Earth is
A. 1012.
B. 1018.
C. 1024.
D. 1030.
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15. The sides of a cube are each of length 1.00 m. Each side is measured with an uncertainty of 2%. The absolute uncertainty in the volume of the cube is
A. ±0.02 m3.
B. ±0.06 m3.
C. ±0.2 m3.
D. ±0.6 m3.
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