Gravitation
Questions & Answers
LAB #6: SIMPLE PENDULUM STUDENT LEARNING OUTCOMES • Determine g, the acceleration due to gravity, using a pendulum. • Conduct a pendulum experiment using household items. After doing the experiment as it says in the lab and calculating all the data and answering all the questions please write a lab report. All the data and the tables should be in the report. Also, all the instructions in the lab report are clear. Please take pictures for your own experiment. Informal lab: Include a series of questions listed in the lab instructions, and images detailing your experiment tables, plots, or pictures). Questions are in bold and labeled with >Q#: You should write your an- answers so they work as standalone statements. For example: if the question asks "What is the force of tension?" your answer should read "The force of tension of a string with a 500 g weight hanging from it is 4.9 N "0.1 N," not "It is 5 N." One-word answers like "No" are not acceptable. LAB 3 REQUIRED FOR THIS IS ADDED IN REFERENCE SECTION. YOU NEED TO DO THE LAB FIRTS AND THEN MAKE A LAB REPORT
(a) Choose relationship between the gravitational potential energy, Ep and the gravitational potential, V for a body of mass m placed in a gravitational field. and the mass of the Earth = 5.98 × 1024 kg. Find the radius of orbit A and of B from the centre of the Earth. RA = - RB = (c) Calculate the centripetal acceleration of a satellite in orbit
What is the gravitational field strength at a height of 2 x107m above the surface of the Earth? The radius of the Earth is 6.4 x 106 m and the value of g on the Earth's surface is 9.8 ms-2.
Let's recap what we've been learned from the previous tutorials: Use the information from the video to answer these questions: 1A) What is the period of a Cepheid star used to directly determine? 1B) How do the light spectra from far away stars compare to our expected spectra? 1C) Which is true about the red shift seen in the light from far away stars?
An oscillator is forced to oscillate at different frequencies. The graph of amplitude A against the driving frequency f for this oscillator is shown. The damping on the oscillator is now DECREASED. Which of the following statements is/arecorrect? 1. The amplitude of the oscillations at any frequency decreases. 2. The maximum amplitude occurs at a lower frequency. 3. The peak on the graph becomes thinner. * O Statement 1 is only correct O Statement 3 is only correct O All three statements are correct. Statement 2 is only correct
Two ideal gases have the same mass density and the sameabsolute pressure. One of the gases is helium (He), and its tem-perature is 166 K. The other gas is neon (Ne). towhere the molar mass of helium and neon are given byMHe = 4.0026 kg mol- and MNeth= 20.179kgmol-1 What is the temperature of the neon?
The acceleration due to gravity at the north pole of Jupiteris 25 ms-2. Jupiter has a mass 1.9 x 1027 kg and radius7.1 x 107 m. (a) What is the gravitational force on a 5 kg object placed atthe north pole of Jupiter? (b) If the apparent weight of this mass placed at the equator(ie the push of the ground on this mass) is 113 N, calculate thelength of Jupiter's day. Assume Jupiter is spherical. (c) Calculate a value for G.
1. (1 point) Calculate the wavelength of an electron travellingwith speed 0.28 c where 6.63 × 10–34 h= 6.63 × 10-34 Js c = 3 × 10° ms-l mẹ = 9.1 × 10¬31 kg
Which of the following are two explanations scientists use to explain the redshift seen in light from far away stars? Explanation 1 Explanation 2
The temperature near the surface of the earth is 291 K. Anargon atom (atomic mass = 39.948 u) has a kinetic energy equalto the average translational energy and is moving straight up. Ifthe atom does not collide with any other atoms or molecules,how high up would it go before coming to rest? Assume that the acceleration due to gravity is constant throughout the ascent.h =.
A planet of mass M and radius R rotates so quickly that material at its equator only just remains on its surface. What is the period of rotation of the planet? 2 \pi \sqrt{\frac{R^{3}}{G M}} 2 \pi \sqrt{\frac{G M}{R}} 2 \pi \sqrt{\frac{R}{G M}} 2 \pi \sqrt{\frac{G M}{R^{3}}}
t) Where \begin{array}{l} h=6.63 \times 10^{-34} \mathrm{Js} \\ m_{e}=9.1 \times 10^{-31} \mathrm{~kg} \\ e=1.6 \times 10^{-19} \mathrm{C}^{2} \\ g_{0}=8.85 \times 10^{-12} \mathrm{C}^{2} \mathrm{~N}^{-1} \mathrm{~m}^{-2} \end{array} a) Calculate the radius, r, of the Bohr orbit for an electron in-the fifth energy level of the Helium ion (He+). Express you answer in terms of the standard SI units for the quantity. If you don't get this in 2 tries, you can get a hint.
Near the surface of Venus, the r.m.s. speed of carbon dioxide molecules (CO2) is 659 m/s. What is the temperature (in kelvins)of the atmosphere at that point?
5. (1 point) An electron is thermionically emitted from a hot cathode and is accelerated between the cathode to an anode which are respectively held at electric potentials of 100 V and2950 V. (a) Calculate the kinetic energy (EKE) acquired by the elec-tron in joules. (b) Calculate the kinetic energy (EKE) acquired by the elec-tron in electronvolts. (c) Calculate the velocity (v) acquired by the electron. Express you answer in terms of the standard SI units for the quantity.
The gravitational potential (V) as a function of distance, R, and the gravitational field, g as a function of distance R. * Which feature represents the magnitude of the gravitational field, g, at a point? O A O B Ос D
The value of g at the North Pole is 9.83 ms-2 and G =6.67 × 10-11 Nm² kg-2. If the radius of the Earth at the poles-is 6355 km, calculate the mass of the Earth.
A 0.1 kg mass hanging from a light helical spring produces an equilibrium extension of 0.1 m.The mass is pulled vertically downwards by a distance of 0.02m and then released. Taking g =10 N/kg, the equation relating displacement x of the mass from its equilibrium position and the time t after release is: *(1 Point) \frac{x}{m}=0.02 \cos \left[10\left(\frac{t}{s}\right)\right] \frac{x}{m}=0.02 \cos \left[0.1\left(\frac{t}{s}\right)\right] \frac{x}{m}=0.1 \sin \left[10\left(\frac{t}{s}\right)\right] \frac{x}{m}=0.02 \sin \left[0.2 \pi\left(\frac{t}{s}\right)\right] \frac{x}{m}=0.1 \cos \left[0.2 \pi\left(\frac{t}{s}\right)\right]
3. (1 point) A proton and an electron have the same velocity.The de Broglie wavelength of the electron is 220 nm. Calculate the speed of the electron. Calculate the de Broglie wavelength of the proton.
A neutron star is a collapsed star of extremely high density.Consider a neutron star with a mass M equal to the mass of the Sun. 1.99 x 1030kg. and a radius, r. of 16 km. What is the free fall acceleration at its surface? \text { Ignore rotational effects. } G=657 \times 10^{-}, \mathrm{m}^{2} \mathrm{~kg}^{-2}
An object of mass m moves in a circle of radius r. It completes n revolutions every second.What is the kinetic energy of the object?* 4 m \pi^{2} n^{2} r^{2} \frac{m n^{2} r^{2}}{4 \pi^{2}} 2 m \pi^{2} n^{2} r^{2} \frac{m n^{2} r^{2}}{8 \pi^{2}}
A tank contains 20 g of clorine gas (Cl2) at a temperature of83°C and an absolute pressure of 5.6 x 10 Pa. The mass permole of Cl, gas is 70.9 gmol-1. Determine the volume of the tank. (b) Later, the temperature of the tank has dropped to 35°Cand, due to a leak, the pressure has dropped to 3.8 × 10° Pa.How many grams of chlorine gas have leaked out of the tank?
The mass of the Moon is about 1/81 that of the Earth and its radius is 1/4 of the Earth. Calculate the acceleration due to gravity on the Moon's surface.
A cylinder of fixed volume contains 45 mol of an ideal gas ata pressure of 560 kPa and a temperature of 310 K. -) Calculate the volume of the cylinder. (b) A quantity of gas is removed from the cylinder and the pressure of the remaining gas falls to 500 kPa. If the temperature of the gas is unchanged, calculate the amount, in mol, of gas remaining in the cylinder.
