QB1c. Write down an expression for the height has a function of time for an object, initially at rest, falling from the height H on Earth. Take g to be the gravitationalfield strength. Please use appropriate algebraic symbols for multiplication (* for a x b), division (/ for a/b), exponents (a^b for a"), square root (sqrt(a*b/c) forVax blc) etc. Please use the "Display response" button to check you entered the answer you expect.h(t)=

Step 1: SolutionInitial height given = H acceleration due to gravity = g = 9.81 m/s2using equation…

Answered: QB1c. Write down an expression for the…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter1: Getting Started

Section: Chapter Questions

Problem 16PQ

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A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
(a) Using the information in the previous problem, what velocity do you need to escape the Milky Way galaxy from our present position? (b) Would you need to accelerate a spaceship to this speed relative to Earth?
Schwarzschild radius RS of a black hole is the maximum distance from the black hole’s center at which light cannot escape its gravitational field. The quantity RS (with dimensions of length) is dependent on the mass of the black hole M, the speed of light c, and the gravitational constant G. Based on the dimensions of these four parameters, predict an equation for the Schwarzschild radius. Hint: G has dimensions of [L3/MT2]
According to Kepler's third law of planetary motion, the mean distance D, in millions of miles, from a planet in our solar system to the sun is related to the time P, in years, that it takes for the planet to complete a revolution around the sun, and the relationship is D = 93P2/3 It takes the planet Pluto 248 years to complete a revolution around the sun. What is the mean distance from Pluto to the sun? What is the mean distance from Earth to the sun? Give your answers to the nearest million miles. from Pluto to the sun X million miles from Earth to the sun million miles
C) The natural (Plank) Unit of a physical quantity Q has the form: {Q}Plank= ħn1cn2Gn3 h = 1.0545717260000002 x 10-34kg m²s-1 c = 299792458 m/s where: the Plank constant: the light speed: and the universal constant of gravity: kg¬!m³s-2 n1, n2 and n3 are suitable numbers that ensure the correct dimension of Q. = 6.673848 x 10-11 Example: {velocity}Plank=c=3.00x10® m/s [n1=0, n2=1, n3=0] Calculate the natural unit of n1= acceleration {a}Plank (3 slgnificant n2= {a}Plank= х 10 m/s? figures) [find n1, n2, n3 and take special care of the order of magnitude] n3= D) Find the area of Palestine in square miles: Apalestine=27000km²= x mile?. Find x. Use: 1 mile=5280 ft ... 1ft=12 inch ... 1inch=2.54 cm х
Newton's law of universal gravitation is represented by Mm F = G• where F is the gravitational force, M and m are masses, and r is a length. Force has the Sl units kg - m/s?. What are the Sl units of the proportionality constant G?
Migrating land mammals are often called runners because of the large distances that they can cover in one day. The velocity (speed) of a migrating land mammal or runner in relation to its mass can be modeled by the equation V(m) = 9.31m0.12, where m is the mass of the animal in kilograms and V is the velocity in kilometers per day. Round your answers to the tenths place, if necessary. Part A: Complete the table by determining the velocity of several different runners. Animal Mass (kg) Velocity (km/day) Grey Wolf 40 14.494 OB Zebra American Buffalo African Elephant 270 900 5000 Answer: It will travel 1 18.227 Part B: How does the mass of the elephant compare to the mass of the zebra? How do their velocities compare? 21.062 X Answer: The mass of the elephant is 18.51 elephant is 1.419 x times that of the zebra. Answer: Answer: The mass of the buffalo is 22.5 1.5 ✓o times that of the wolf. OB 25.872✓ O Part C: How does the mass of the buffalo compare to the mass of the wolf? How do their…
A ferris wheel has a radius of 75 feet and its center is 80 feet above the ground. You ride the wheel once around and get off. (a) Find a function that expresses your height in terms of the angle of rotation of the wheel since you boarded. Be sure to give the function a name and define its input and output (with units) in complete sentences. Include the function's domain. Explain your reasoning clearly. (b) When you are 108 feet above the ground for the second time, the wheel comes to a stop. It then turns through a small angle and stops again. Ap- prorimate the change in your height in terms of this small angle of rotation. Be sure to define these changes precisely and to erplain your logic. (c) Suppose the wheel turned through an angle of 2° as described in part (b). Use your result of part (b) to approximate the change in your height. Include units at each step and for each number in the computation. Craft your response to this question in the form of a letter to a friend.…
Light speed c = 3.0* 108 m/s. A light year is a distance light travels in one year. Calculate a light-year in [a] km and [b] Mile
Choose the starting point of the soccer ball to be the origin (0, 0) of your reference frame, z axis pointing horizontal to the right, and y axis pointing vertical up. Y Part A Vo Write down the horizontal position of the soccer ball as functions of time t. Express your answer using variables vo. f., and physical constants as needed. z(t)= ΑΣΦ
One type of engine used in space travel is an ion thruster. These engines produce a low force that results in small acceleration changes. If an ion-thrust engine is used to apply 87 millinewtons [mN] of force on a satellite with a mass of 1.7 megagrams [Mg], what is the acceleration produced in units of meters per second squared [m/s2]?
On the planet Zebulon, the standard unit for length is the clorf (cl) and the standard unit for time is the beedle (be). After many years of research, you have determined that 1clort = 0.765 meters 1beedle = 1.957 seconds (1cl = 0.765m) (1be = 1.957s) If you are driving at a speed of 85mi / h , how fast are you going in terms of clorés per beedle (cl/be)? NOTE: 1 mi = 1609 m.

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