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# Submarines on Europa. Some scientists are eager to send a ISBN: 9780321675460 31

## Solution for problem 50P Chapter 13

University Physics | 13th Edition

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Problem 50P

Submarines on Europa. Some scientists are eager to send a remote-controlled submarine to Jupiter’s moon Europa to search for life in its oceans below an icy crust. Europa’s mass has been measured to be 4.8 × 1022 kg, its diameter is 3138 km, and it has no appreciable atmosphere. Assume that the layer of ice at the surface is not thick enough to exert substantial force on the water. If the windows of the submarine you are designing are 25.0 cm square and can stand a maximum inward force of 9750 N per window, what is the greatest depth to which this submarine can safely dive?

Step-by-Step Solution:

Step 1: 22 Mass of Europa M = 4.8 x 10 kg Diameter D = 3138 km Radius of Europa R = 1569 km or 1.57 x 10 m 6 Length of the window L = 25 cm or 0.25 m Maximum inward force per window F = 9750 N Gravitational constant G = 6.67 x 10 -11N m /kg2 Step 2: To find the greatest depth to which this submarine can safely dive Atmosphere on the surface of Europa is not appreciable. Hence atmospheric pressure on the surface P 0s zero. Assume that the submarine penetrates the icy layer and goes below its ocean. Pressure under water can be felt. Pressure under the ocean is given by P = hg h = P -----(1) g Where h is the depth to be calculated g - acceleration due to gravity on Europa - density of water under icy crust (1000 kg/m ) 3 Step 3: Calculating acceleration due to gravity g = GM R 2 6.67*101* 4.* 1022 g = 62 (1.5* 10 ) g = 1.299 m/s ------(2)

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##### ISBN: 9780321675460

The answer to “Submarines on Europa. Some scientists are eager to send a remote-controlled submarine to Jupiter’s moon Europa to search for life in its oceans below an icy crust. Europa’s mass has been measured to be 4.8 × 1022 kg, its diameter is 3138 km, and it has no appreciable atmosphere. Assume that the layer of ice at the surface is not thick enough to exert substantial force on the water. If the windows of the submarine you are designing are 25.0 cm square and can stand a maximum inward force of 9750 N per window, what is the greatest depth to which this submarine can safely dive?” is broken down into a number of easy to follow steps, and 106 words. The full step-by-step solution to problem: 50P from chapter: 13 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by and is associated to the ISBN: 9780321675460. Since the solution to 50P from 13 chapter was answered, more than 438 students have viewed the full step-by-step answer. This full solution covers the following key subjects: europa, Submarine, its, Force, layer. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13.

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