7 0 14 Points Details Scalcet9 3 7 022 Newton S Law Of Gravitation Says That The Magnitude F Of The Force Exerted 1 (54.38 KiB) Viewed 55 times
7. [-/0.14 Points] DETAILS SCALCET9 3.7.022. Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is GmM 21 where G is the gravitational constant and r is the distance between the bodies. dF dr (a) Find dF dr F = What is the meaning of. in the context of this problem? dF dr represents the rate of change of the mass with respect to the distance between the bodies. O ο ο ο ο 위유 우유 위유 위유 위유 represents the rate of change of the force with respect to the distance between the bodies. represents the rate of change of the mass with respect to the force. represents the rate of change of the distance between the bodies with respect to the force. represents the amount of force per distance. What does the minus sign in the expression indicate? O The minus sign indicates that as the distance between the bodies increases, the magnitude of the force increases. O The minus sign indicates that as the distance between the bodies decreases, the magnitude of the force remains constant. O The minus sign indicates that the force between the bodies is decreasing. O The minus sign indicates that the bodies are being forced in the negative direction. O The minus sign indicates that as the distance between the bodies increases, the magnitude of the force decreases. (b) Suppose it is known that the earth attracts an object with a force that decreases at the rate of 4 N/km when r = 30,000 km. How fast does this force change when r= 15,000 km? N/km Need Help? Read It
2. [-/0.14 Points] DETAILS Graphs of the velocity functions of two particles are shown, where t is measured in seconds. (a) A (b) SCALCET9 3.7.005. When is the particle speeding up? (Enter your answer using interval notation.) When is the particle slowing down? (Enter your answer using interval notation.) M. When is the particle speeding up? (Enter your answer using interval notation.) When is the particle slowing down? (Enter your answer using interval notation.) Need Help? Read It Watch It
6. [-/0.14 Points] DETAILS SCALCET9 3.7.020.MI. If a tank holds 3500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as 500 (1 - 1) ² V = Find the rate (in gal/min) at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.) (a) 5 min (b) 10 min (c) 20 min (d) 50 min gal/min gal/min Need Help? gal/min gal/min 0 ≤ts 50. At what time (in min) is the water flowing out the fastest? t = min At what time (in min) is the water flowing out the slowest? t = min Read It Master It
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