The diameter of a proton is of the order of magnitude of A. 10–12 m. B. 10–15 m. C. 10–18 m. D. 10–21 m. Which of the following is the best esBmate, to one significant digit, of the quanBty: π × 8.1
? (15.9)
A. 1.5 B. 2.0 C. 5.8 D. 6.0 A student measures the current in a resistor as 677 mA for a potenBal difference of 3.6 V. A calculator shows the resistance of the resistor to be 5.3175775 Ω. Which one of the following gives the resistance to an appropriate number of significant figures? A.
5.3 Ω B.
5.32 Ω
C.
5.318 Ω
D.
5.31765775 Ω Which one of the following lists a fundamental unit and a derived unit? A. Ampere, second B. Coulomb, kilogram C. Coulomb, newton D. Metre, kilogram The order of magnitude of the weight of an apple is –4
A. 10 N. B. 10–2 N. C. 1 N. D. 102 N. A small boat is powered by an outboard motor of variable power P. The graph below shows the variaBon with speed v of P when the boat is carrying different loads. The masses shown are the total mass of the boat plus passengers. 5.0
4.5
350 kg
Interpret the graph(s) 4.0
and explain. 3.5
3.0
300 kg
2.5
P / kW
2.0
1.5
250 kg
1.0
200 kg
0.5
0.0
0.0 0.5 1.0 1.5 2.0 2.5
3.0 3.5 4.0
v / ms
–1
Sub-­‐mulBples of units may be expressed using a prefix. Which one of the following lists the prefixes in decreasing order of magnitude? A. cenB-­‐ micro-­‐ milli-­‐ nano-­‐ B. milli-­‐ cenB-­‐ nano-­‐ micro-­‐ C. cenB-­‐ milli-­‐ micro-­‐ nano-­‐ D. milli-­‐ micro-­‐ cenB-­‐ nano-­‐ The resisBve force F that acts on an object moving at speed v in a staBonary fluid of constant density is given by the expression: F = kv2 Determine the units of k in SI base units. The mass of an atom of the isotope stronBum-­‐92 (92Sr) is of the order of A. 10–23 kg. B. 10–25 kg. C. 10–27 kg. D. 10–29 kg. The mass of a body is measured to be 0.600 kg and its acceleraBon to be 3 m s–2. The net force on the body, expressed to the correct number of significant figures is A. 1.8 N. B. 1.80 N. C. 2 N. D. 2.0 N. An object has an acceleraBon of 2.0 m s−2. Which of the following gives the change in the speed of the object a_er 7.00 s to the correct number of significant digits? A. 14 m s−1 B. 14.0 m s−1
C. 14.00 m s−1 D. 14.000 m s−1 The resisBve force F acBng on a sphere of radius r moving at speed v through a liquid is given by F = cvr where c is a constant. Which of the following is a correct unit for c? A. N B. N s–1 C. N m2 s–1 D. N m–2 s The number of heartbeats of a person at rest in one hour, to the nearest order of magnitude is A. 101. B. 102. C. 103. D. 105. 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 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. If 𝐶=​2𝐹/𝜌​𝑣↑2 𝐴 , solve for v. If 𝐹=𝑘𝜌​𝑣↑2 ​𝑟↑2 , solve for r. Which one of the following is a fundamental unit in the SI system? A. Ampere B. Volt C. Ohm D. Tesla The diameter of the nucleus of a hydrogen atom is of the order of A. 10–8 m. B. 10–15 m. C. 10–23 m. D. 10–30 m. A student measures the current in a resistor as 677 mA for a potenBal difference of 3.6 V. A calculator shows the resistance of the resistor to be 5.3175775 Ω. Which one of the following gives the resistance to an appropriate number of significant figures? A. 5.3 Ω
B. 5.32 Ω C. 5.318 Ω D. 5.31765775 Ω diameter of a nucleus
The raBo diameter
of
an
atom
is approximately equal to A. 10–15. B. 10–8. C. 10–5. D. 10–2. Which of the following contains only fundamental SI units? A. ampere, newton, second B. volt, second, kelvin C. mole, ampere, kilogram D. kilogram, metre, tesla The gravitaBonal force F that acts on an object at a distance r away from the center of a planet is given by the equaBon where M is the mass of the planet, m is the mass of the object, and G is a constant. Graph F and r, then make a straight line graph of this data and interpret the meaning of the slope of the line. The magnitude of the mass of the universe is of the order of 20
A. 10 kg. B. 1030 kg. C. 1040 kg. D. 1050 kg. A volume is measured to be 52 mm3. This volume in m3 is 3
3
A. 5.2 × 10 m . B. 5.2 × 101 m3. C. 5.2 × 10–1 m3. D. 5.2 × 10–8 m3. The graph shows the variaBon with temperature T of the resistance R of an electrical component. A student hypothesizes that the resistance is inversely propor-onal to the temperature. IS THIS TRUE? Use data from the graph to show whether the hypothesis is supported. If 𝑇=√⁠​𝑝/𝑑 , 𝑠𝑜𝑙𝑣𝑒 𝑓𝑜𝑟 𝑑. If , solve for r. Gillian carried out an experiment to invesBgate the craters formed when steel balls are dropped into sand. To try and find the relaBonship between the diameter of the crater and the energy of impact of steel balls of the same diameter, she dropped a steel ball from different heights h into sand and measured the resulBng diameter d of the crater. The data are shown ploied below. The uncertainty in the measurement of d is ±0.40 cm; the uncertainty in h is too small to be shown. Draw error bars for the data point (0.2, 0.047) and the data point (2.0, 0.10). Gillian carried out an experiment to invesBgate the craters formed when steel balls are dropped into sand. To try and find the relaBonship between the diameter of the crater and the energy of impact of steel balls of the same diameter, she dropped a steel ball from different heights h into sand and measured the resulBng diameter d of the crater. The data are shown ploied below. The original hypothesis, made by Gillian, was that the diameter of the crater is directly proporBonal to the energy of impact of the steel balls. Explain why the data does not support this hypothesis.
Which of the following contains one fundamental and one derived unit? A. ampere kilogram B. ampere coulomb C. joule newton D. joule coulomb The length of a page of the examinaBon paper is approximately 30 cm. Which of the following gives the order of magnitude for the Bme taken for light to travel the length of the page? A. 10–7 s B. 10–8 s C. 10–9 s D. 10–10 s