Class Management | Help Week10 Begin Date: 8/2/2023 12:01:00 AM -- Due Date: 8/10/2023 11:59:00 PM End Date: 8/10/2023 11:59:00 PM (10%) Problem 6: The figure shows a small sphere of mass m a distance D from the edge of a uniform rod of length L and mass M. D A 33% Part (a) Write an expression for the gravitational force F on the mass m, where G is the gravitational constant. Consider the direction to the right of the sphere to be the positive direction. F = Grade Summary Deductions 0% Potential 100% B Y ( ) 7 8 9 HOME Submissions D g 4 5 6 Attempts remaining. 999 (0% per attempt G h j 1 2 3 detailed view K m + 0 M n P VO Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. 33% Part (b) Is the magnitude of this force larger, smaller, or the same as the magnitude of the force between two point masses Mand m separated by a distance D + L? Larger V Correct! 4 33% Part (c) The rod has a mass of 4.3 kg and the small sphere has a mass of half of the rod. The distance D = 0.85 m and the rod has a length of 0.85 m. What is the magnitude of the gravitational force, in newtons, of the ball? All content @ 2023 Expert TA, LLCClass Management | Help Week10 Begin Date: 8/2/2023 12:01:00 AM -- Due Date: 8/10/2023 11:59:00 PM End Date: 8/10/2023 11:59:00 PM (10%) Problem 9: Planet 1 has mass 3M and radius R, while Planet 2 has mass 4M and radius 2R. They are separated by center-to-center distance SR. A rock is placed halfway between their centers at point O. It is released from rest. Ignore any motion of the planets. 8R 2R R 4M BM theexpertta.com D A 33% Part (a) Derive an expression, in terms of relevant system parameters, for the magnitude of the acceleration a of the rock at the moment it is released. Grade Summary la = Deductions Potential 100 a 7 8 9 Submissions d g 4 5 6 Attempts remaining (Ugo per attempt) G h 1 2 3 detailed view K M + 0 P R t VO Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 5 Feedback: 0% deduction per feedback 33% Part (b) Towards which planet is the direction of the acceleration in part a)? Planet 2 V Correct! A 33% Part (c) The rock is released from rest at point O. Derive an expression for the speed v with which the rock crashes into a planet. All content @ 2023 Expert TA, LLCClass Management | Help Week10 Begin Date: 8/2/2023 12:01:00 AM -- Due Date: 8/10/2023 11:59:00 PM End Date: 8/10/2023 11:59:00 PM (5%) Problem 11: The radius of the Earth RE = 6.378 x 100 m and the acceleration due to gravity at its surface is 9.81 m/s-. Calculate the altitude above the surface of Earth, in meters, at which the acceleration due to gravity is g = 2.2 m/s-. h = sin() cos() tan() S cotan( asin( acos() 4 atan( acotan( ) sinh() 2 3 cosh() tanh() cotanh() U END O Degrees O Radians CLEAR Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback.Class Management | Help Week10 Begin Date: 8/2/2023 12:01:00 AM -- Due Date: 8/10/2023 11:59:00 PM End Date: S/10/2023 11:59:00 PM (5%) Problem 14: Two objects of masses m and M interact with a central force that varies as 1/r* with proportionality constant k as follows: F = kir+ Derive an expression for the potential energy function, with the location of the reference for your formula being U() = 0. U(r) = k/31 3 Grade Summary Deductions Potential 100 Y e 7 8 9 HOME Submissions b C d 4 5 Attempts remaining 6 (o per attempt) g h 2 3 detailed view K 1 m n 0 END P S VOl BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback All content @ 2023 Expert TA, LLC