College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- We will use differential equations to model the orbits and locations of Earth, Mars, and the spacecraft using Newton’s two laws mentioned above. Newton’s second law of motion in vector form is: F^→=ma^→ (1) where F^→ is the force vector in N (Newtons), and a^→ is the acceleration vector in m/s^2,and m is the mass in kg. Newton’s law of gravitation in vector form is: F^→=GMm/lr^→l*r^→/lr^→l where G=6.67x10^-11 m^3/s^2*kg is the universal gravitational constant, M is the mass of the larger object (the Sun), and is 2x10^30 kg, and m is the mass the smaller one (the planets or the spacecraft). The vector r^→ is the vector connecting the Sun to the orbiting objects. Step one ) The motion force in Equation(1), and the gravitational force in Equation(2) are equal. Equate the right hand sides of equations (1) and (2), and cancel the common factor on the left and right sides. Answer: f^→=ma^→ f=Gmm/lr^→l^2 a^→=Gmm/lr^→l^2 x r^→/lr^→l r^→=r^→/lr^→l * Gmm Could you please…arrow_forwardLet's say we have a M1 and M2. Let's just say. Let's examine this hypothetical situation. The first mass would be 1.50 kg and the second mass would be 2.00 kg. These two masses would then be separated by a length or we should say a distance of this L = 2.50 m. Let's say we want to place a third mass (immaterial mass) in the middle of the two masses, such that there would be no net force. Find this specific place where this would occur, and to make it easy, find the distance from the first mass towards this third massarrow_forwardIn the answer, it gives a formula f-ff=m(0) and afterwards simplies into 120 - ff = 0 and further into ff=120N. My question is how do you not have to divide by 0 to finish the equation if that makes sense. To simply further why are we able to ignore the m(0) portion?arrow_forward
- The Maton family begins a vacation trip by driving 710 km west. Then the family drives 610 km south, 310 km east, and 410 km north. Where will the Matons end up in relation to their starting point? Give direction only, directly East is 0 degrees and the order goes counter clock wise (North is 90 degrees, West is 180 degrees, South is 270 degrees).arrow_forwardThat's what I thought too! But the answer choices it gave were 8 m/s, 4 m/s, 2 m/s, and 6 m/s so I'm confused. I went with 8 and it was wrong.arrow_forwardQuestion 7arrow_forward
- A jogger runs 186 meters westward, then 210 meters eastward, then 156 meters westward, and finally 84 meters eastward. For this motion, what is the distance moved? Tap button at left to enter answer using our built-in number pad. Distance (m) : %D 1 2 What is the magnitude and direction of the displacement? Magnitude (m) = Tap button at left to enter answer using our built-in number pad. Dir'n = (Tap field to change.) --arrow_forwardYou are driving south along the shore of the Mississippi River. At this point it is flowing due South. You notice a prominent radio tower right on the far shore, at a bearing of 115 degrees. You drive on for 2 miles and notice that now the radio tower appears at a bearing of 55 degrees. You figure that at this point the Mississippi river is -------- miles wide. Round to two decimal places.arrow_forwardWhich formula did you use for this? I'm too slow to catch up on it. My bad.arrow_forward
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