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This is Physics 20 (grade 11)- Module 4- Lesson 3 - Universal Gravitational Field Theory and the Density of Earth

Question 9 Cavendish's historic experiments investigating the gravitational forces between objects finally Not yet answered allowed scientists to determine the mass of the Earth. He is generally credited as the principal Marked out of scientist who discovered the experimental value of the Gravitational Constant. 3.00 Once the gravitational constant was known, it became possible to calculate the mass of the Flag question Earth. Using data and physics theory from your course so far, CALCULATE the mass of the Earth. You may use any data from the following table, taken from the Physics Data Booklet: Constants Acceleration Due to Gravity Near Earth 3. = 9.81m/s2 Gravitaional Constant G = 6.67 x 10-11 N-m2/kg2 Radius of Earth re = 6.37 x 105 m Mass of Earth Me = 5.98 x 1024 kg Elementary Charge e = 1.60 x 10-19 C Coulomb's Law Constant k = 8.99 x 109 N.m2/C2 Electron Volt 1 eV = 1.60 x 10-19 J Index of Refraction of Air n = 1.00 Speed of Light in Vacuum c = 3.00 x 108 m/s Planck's Constant h = 6.63 x 10-34 J.s h = 4.14 x 10-15 eV.sQuestion 10 Density is a measure of the mass per unit of volume for a material. Mathematically, this can be Not yet expressed in units of kg/m3. answered Marked out of Given that the equation for the volume of sphere is based on radius, determine the density of 3.00 Earth (1 mark) and compare it to that of water (998 kg/m at 200 C). Explain how this Flag helps people understand Earth's interior (2 marks). question volume = WIA It 3 density mass volume Paragraph BQuestion 11 Not yet This question will tie together concepts of Kinematics, Dynamics, and answered Universal Gravitation. Each of these physics topics are used when a Space Marked out of 3.00 Exploration organization (like NASA in the United States) sends a mission to Flag question another celestial body (Planet/Asteroid). You will need data from this table --> Click here a) A spacecraft is approaching the planet Mars at a speed of 11.5 km/s. The mission planners know they need to start slowing the spacecraft down in preparation to orbit the planet. The optimal moment to start slowing down is when the spacecraft is 2000 km from the surface of the planet. The gravitational field strength 2000 km from the surface of Mars is N/kg. Answer rounded to 2 decimal places. b) To slow down in preparation for orbit, the spacecraft needs to slow down from 11.5 km/s to just 1000 m/s. The spacecraft began slowing down at a position 2000 km from Mars' surface, and reached 1000 m/s at an altitude of 100 km above the surface. The average acceleration experienced by the spacecraft was m/s2. Answer rounded to ONE decimal place. c) Once the spacecraft was in orbit, a 500 kg landing craft was sent to the surface. The landing craft struck the ground at a velocity of 20 km/h and stopped in just 0.35 seconds. The NET force that acted to slow the lander from 20 km/h to zero was N. Answer rounded to zero decimal places