Foundations of Astronomy
13th Edition
ISBN: 9781305079151
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Textbook Question
Chapter 21, Problem 4RQ
How can you determine the relative ages of the Moon’s maria and highlands?
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Kirchoff's Laws. A circuit contains 3 known resistors, 2 known batteries, and 3 unknown currents as shown.
Assume the current flows through the circuit as shown (this is our initial guess, the actual currents may be
reverse). Use the sign convention that a potential drop is negative and a potential gain is positive.
E₂ = 8V
R₁₁ = 50
R₂ = 80
b
с
w
11
www
12
13
E₁ = 6V
R3 = 20
a) Apply Kirchoff's Loop Rule around loop abefa in the clockwise direction starting at point a. (2 pt).
b) Apply Kirchoff's Loop Rule around loop bcdeb in the clockwise direction starting at point b. (2 pt).
c) Apply Kirchoff's Junction Rule at junction b (1 pt).
d) Solve the above 3 equations for the unknown currents I1, 12, and 13 and specify the direction of the current
around each loop. (5 pts)
I1 =
A
12 =
A
13 =
A
Direction of current around loop abef
Direction of current around loop bcde
(CW or CCW)
(CW or CCW)
No chatgpt pls will upvote
4.) The diagram shows the electric field lines of a positively charged conducting sphere of
radius R and charge Q.
A
B
Points A and B are located on the same field line.
A proton is placed at A and released from rest. The magnitude of the work done by the electric field in
moving the proton from A to B is 1.7×10-16 J. Point A is at a distance of 5.0×10-2m from the centre of
the sphere. Point B is at a distance of 1.0×10-1 m from the centre of the sphere.
(a) Explain why the electric potential decreases from A to B. [2]
(b) Draw, on the axes, the variation of electric potential V with distance r from the centre of the
sphere.
R
[2]
(c(i)) Calculate the electric potential difference between points A and B. [1]
(c(ii)) Determine the charge Q of the sphere. [2]
(d) The concept of potential is also used in the context of gravitational fields. Suggest why scientists
developed a common terminology to describe different types of fields. [1]
Chapter 21 Solutions
Foundations of Astronomy
Ch. 21 - How does the force of gravity cause tidal coupling...Ch. 21 - As viewed from Earth, how many times does the Moon...Ch. 21 - If the Moon is tidally coupled to Earth, is Earth...Ch. 21 - How can you determine the relative ages of the...Ch. 21 - From looking at images of the Moons near side, how...Ch. 21 - Why did the first Apollo missions land on the...Ch. 21 - Why do planetary scientists hypothesize that the...Ch. 21 - Prob. 8RQCh. 21 - Prob. 9RQCh. 21 - Prob. 10RQ
Ch. 21 - What is the most significant kind of erosion that...Ch. 21 - Provide evidence to support a hypothesis about...Ch. 21 - What evidence can you cite that the Moon had...Ch. 21 - What evidence would you expect to find on the Moon...Ch. 21 - How does the large-impact hypothesis explain the...Ch. 21 - Look at the Celestial Profiles for Earth, the...Ch. 21 - Look at the Celestial Profiles for the Moon and...Ch. 21 - Prob. 18RQCh. 21 - Look at the Celestial Profiles for Earth, the...Ch. 21 - Look at the Celestial Profiles for the Moon and...Ch. 21 - Why are features like the Moons maria not observed...Ch. 21 - What are the relative ages of the intercrater...Ch. 21 - What evidence can you give that Mercury has a...Ch. 21 - Why is it not surprising that there is no evidence...Ch. 21 - What evidence can you give that Mercury had...Ch. 21 - How are the histories of the Moon and Mercury...Ch. 21 - What property of the Moon and Mercury has resulted...Ch. 21 - Prob. 28RQCh. 21 - Prob. 1DQCh. 21 - Prob. 2DQCh. 21 - Prob. 3DQCh. 21 - Prob. 4DQCh. 21 - Look at the right top and bottom images in Figure...Ch. 21 - Calculate the escape velocity of the Moon from its...Ch. 21 - Prob. 3PCh. 21 - Why do small planets cool faster than large...Ch. 21 - The smallest detail visible through Earth-based...Ch. 21 - Prob. 6PCh. 21 - The trenches where Earths seafloor slips downward...Ch. 21 - An Apollo command module orbited the Moon about...Ch. 21 - Prob. 9PCh. 21 - What is the angular diameter of Mercury when it is...Ch. 21 - If you transmit radio signals to Mercury when...Ch. 21 - What is the wavelength of the most intense...Ch. 21 - Suppose you send a probe to land on Mercury, and...Ch. 21 - The smallest detail visible through Earth-based...Ch. 21 - Look at the image of the astronaut on the Moon at...Ch. 21 - Examine the shape of the horizon at the Apollo 17...Ch. 21 - In the photo shown here, astronaut Alan Bean works...
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- 3.) The graph shows how current I varies with potential difference V across a component X. 904 80- 70- 60- 50- I/MA 40- 30- 20- 10- 0+ 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 VIV Component X and a cell of negligible internal resistance are placed in a circuit. A variable resistor R is connected in series with component X. The ammeter reads 20mA. 4.0V 4.0V Component X and the cell are now placed in a potential divider circuit. (a) Outline why component X is considered non-ohmic. [1] (b(i)) Determine the resistance of the variable resistor. [3] (b(ii)) Calculate the power dissipated in the circuit. [1] (c(i)) State the range of current that the ammeter can measure as the slider S of the potential divider is moved from Q to P. [1] (c(ii)) Describe, by reference to your answer for (c)(i), the advantage of the potential divider arrangement over the arrangement in (b).arrow_forward1.) Two long parallel current-carrying wires P and Q are separated by 0.10 m. The current in wire P is 5.0 A. The magnetic force on a length of 0.50 m of wire P due to the current in wire Q is 2.0 × 10-s N. (a) State and explain the magnitude of the force on a length of 0.50 m of wire Q due to the current in P. [2] (b) Calculate the current in wire Q. [2] (c) Another current-carrying wire R is placed parallel to wires P and Q and halfway between them as shown. wire P wire R wire Q 0.05 m 0.05 m The net magnetic force on wire Q is now zero. (c.i) State the direction of the current in R, relative to the current in P.[1] (c.ii) Deduce the current in R. [2]arrow_forward2.) A 50.0 resistor is connected to a cell of emf 3.00 V. The voltmeter and the ammeter in the circuit are ideal. V A 50.00 (a) The current in the ammeter is 59.0 mA. Calculate the internal resistance of the cell. The circuit is changed by connecting another resistor R in parallel to the 50.0 resistor. V A 50.00 R (b) Explain the effect of this change on R is made of a resistive wire of uniform cross-sectional area 3.1 × 10-8 m², resistivity 4.9 × 10-70m and length L. The resistance of R is given by the equation R = KL where k is a constant. (b.i) the reading of the ammeter. [2] (b.ii) the reading of the voltmeter. [2] (c) Calculate k. State an appropriate unit for your answer. [3] [2]arrow_forward
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