A rock is dropped from high above the surface of the Earth. The initial speed is 0, and the initial height above the surface is NxRg where Rg is the radius of the Earth. Calculate the speed of the rock when it hits the upper atmosphere, say at height 20 km above the surface. DATA for the Earth: radius Rg = 6.38 x 10 m; mass M = 5.98 x 1024 kg. N = 9; (in m/s) OA: 7.258x103 OB: 1.052x104 OC: 1.526x104 OD: 2.213x104 OE: 3.208x104 OF: 4.652x104 OG: 6.746x104 OH: 9.781x104

A rock is dropped from high above the surface of the Earth. The initial speed is 0, and the initial height above the surface is NxRg where Rg is the radius of the Earth. Calculate the speed of the rock when it hits the upper atmosphere, say at height 20 km above the surface. DATA for the Earth: radius Rg = 6.38 x 10 m; mass M = 5.98 x 1024 kg. N = 9; (in m/s) OA: 7.258x103 OB: 1.052x104 OC: 1.526x104 OD: 2.213x104 OE: 3.208x104 OF: 4.652x104 OG: 6.746x104 OH: 9.781x104

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 31P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...

See similar textbooks

Similar questions

In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day and he is blown along the following directions: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 1.30 km and 25.0 south of west, then 5.10 km straight east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use a graphical method to find the castaway’s final position relative to the island.
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
The density of the earth's atmosphere follows an exponential function, D(h) = 1.3 e-h/7640 where h is the distance above the earth's surface in meters and D is the density in kg/m. What mass of air sits above a Im? area on the surface? (You can ignore the curvature of the earth's surface: that will contribute very little extra efect.)
The acceleration due to gravity, g, is constant at sea level on the Earth's surface. However, the acceleration decreases as an object moves away from the Earth's surface due to the increase in distance from the center of the Earth. Derive an expression for the acceleration due to gravity at a distance h above the surface of the Earth, gh. Express the equation in terms of the radius R of the Earth, 8, and h. (1+ )² h\-2 8h = Suppose a 91.75 kg hiker has ascended to a height of 1.880 x 10³ m above sea level in the process of climbing Mt. Washington. By what percent has the hiker's weight changed from its value at sea level as a result of climbing to this elevation? Use g 9.807 m/s? and R : 6.371 × 106 m. Pay careful attention to significant figure rules, and enter your answer as a positive value.
Asap
Tidal friction is slowing the rotation of the Earth. As a result, the orbit of the Moon is increasing in radius at a rate of approximately 4 cm/year. Assuming this to be a constant rate, how many years will pass before the radius of the Moon's orbit increases by 3.84×106 m (1%)?
A newly discovered planet X has a mass of 45.0 x 1023 kg and radius 4.82 × 106 m. What is g on this planet's surface, in m/s²? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
a) What is the average speed in kilometers per second of the Earth around the sun, given that the radius of the Earth's orbit is 1.5×108km? b) What is the average velocity of the Earth over a year's time?
a) A wind turbine with two or four hollow hemispherical cups connected to a pivot is commonly uscd to measure wind speed. Consider a wind turbine with four 8-cm- diameter cups with a center-to-center distance of 40 cm, as shown in Fig. PI1-35. The pivot is stuck as a result of some malfunction, and the cups stop rotating. For a wind speed of 15 m/s and air density of 1.25 kg/m3, determine the maximum torque this turbine applies on the pivot. A hemisphere at two different orientations for Re > 10 40 cm C04
Kepler's third law states that for any object in a gravitational orbit, P2∝a3P2∝a3 where PP is the orbital period of the object and aa is the average distance between the object and what it is orbiting. In our Solar System, the natural units are distances measured in astronomical units (A.U.) and orbital periods measured in years. This can be seen for the Earth-Sun system which has an orbital period P=1P=1 year and an average distance a=1a=1 AU. Using these natural units in the Solar System, the proportionality becomes an equality, so for our Solar System: (Pyears)2=(aA.U.)3(Pyears)2=(aA.U.)3 . Using your mathematical prowess, determine what the orbital period in years would be for an asteroid that was discovered orbiting the Sun with an average distance of 25 astronomical units.
Problem 1: Suppose A = (-3.03 m)i + (4.35 m)j, B = (2.71 m)i + (-4.29 m)j + (2.99 m)k, and D = (-2.48 m)i + (-4.5 m)j. Part (a) What is the angle, in degrees, between D and A? Numeric : A numeric value is expected and not an expression. Part (b) What is the angle, in degrees, between D and B? Numeric : A numeric value is expected and not an expression.
The change in the value of cg at. (g) height (h) above the surface of earth is same as at a depth (d) beloco the surface of earth. When both (d) f(b) are much smaller than radius of earth, then which is correct 2 @ d = 2h 6 d = h @d=h/₂ @d=3h/2