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- Part C A spherical object of radius r moving slowly through the air is known to experience a retarding force Fdrag = -6rv, where n is the viscosity of the air. Use this and your answer to Part B to find the radius r of a spherical droplet of density p falling with a terminal speed Uterm. Express your answer in terms of n, Uterm, p, and g. ► View Available Hint(s) T = Submit 9nºterm 2pg Previous AnswersYou are given two point-like objects, known as M1 & M2. M1 has four times the mass of M2 and they are placed at a distance of d apart from each other. A. Can you sketch (in 2-dimensions) the gravitational field lines that are present in the region of space around the two masses. Show the direction of the field on the field lines. B. Explain quantitatively where you should place a test particle such that it experiences a net gravitational force of zero from the two point-like objects. Indicated this position on your diagram.In your own words, describe the difference between the terms gravitational force and gravitational field.
- 1. A space probe of mass m approaches a binary star system as shown. The masses and positions are given on the diagram. a. What is the magnitude of the force on the space probe due to the larger star? C. What is the y component of the force? O 8M e. 4L ty Latx m 10M b. What is the x component of this force? Hint: you should be able write the values the sines and cosines without using any inverse trig functions. You don't need to know what the angles are, just what the sines and cosines are! 3L What is the net force on the space probe of mass m in component vector form? 3L 4L 5L d. Write the force on the space probe due to the smaller star in component vector form. Give answers in terms of m, M. L, and G. Please simplify. 4L f. What is the direction of the net force? Give angle counterclockwise from +x axis. You should get a numerical answer.In a loop-de-loop ride at the fair a 200 Newton child experience as a 100 Newton apparent weight at the top of the loop. The diameter of the ride is 12 m. a. How fast is the child traveling at the top of the ride? b. Neglecting friction how fast is the child traveling at the bottom of the ride. c. what is the child's parent wait at the bottom of the ride d. In the reference frame of the child are they accelerating? What role does a child's inertia force play?a. Compare the time it takes a feather and a bowling ball to fall to the ground if theyare released from rest inside a vacuum at the same time and from the sameheight. Explain. b. Using Newton’s Law of Universal Gravitation, calculate the mass of the Earth usingthe other required values from your formula sheet.
- an object on earth's surface is about 782 km from its center and has a gravitational force of 84 units. Solve the following. a. At twice the distance, what is the gravitational force? b. At half the distance, what is the gravitational force?The following must also be included in the answer: 1.) Given and requirement(s), 2.) Free body diagram, 3.) Formulas and their proper symbols, 4.) Direction of forces and sign convention. The vertical and horizontal components must also be indicated in your freebody diagram.Complete the following statement: The center of mass is a. the region of an object where the density has the largest value. b. the region of an object where most of the mass is located. c. the point within an object that moves as if all of the object's mass where located there. d. the point at the geometrical center of an object. e. the only point on an object at which the gravitational force acts.
- F1 RDY RAY The figure above is a pin-joint frame with horizontal member length l = 3m and vertical member length h = 5m. (Note that the diagram is not to scale.) You are given that F = 48KN, RAY = 16KN and Rpy = 32kN. Use the method of sections to calculate the forces in members BC, FC and FE. Enter your answers in kilonewtons (kN) correct to 2 decimal places. Enter FBC : kN ype here to searchI Review Constants Two spherical objects have a combined mass of 190 kg . The gravitational attraction between them is 7.53x10-6 N when their centers are 15.0 cm аpart. What is the mass of the heavier object? Express your answer with the appropriate units. HẢ Value Units Submit Request Answer Part B What is the mass of the lighter object? Express your answer with the appropriate units. μΑ ? Valuo UnitaM Gmail O YouTube A Maps O RCAP QUESTION 2 Problem A new type of force was discovered by physicists with the following expression: α Fnew + Be* + 3x^ where alpha & beta are constants, and x is the position. The expression above was obtained from the interaction of a massless Higg s Boson (a type of particle) and a black hole. Quantum physicists then decides to design and build a machine that is able to move the Higgs Boson from x2 to x1. How much work should the machine do to achieve this feat? (For simplicity, consider that no energy is lost in the process) Solution To determine the work done we apply the following W = Fx dx Evaluating the above, we get W = aln | x beta e X 3/5 5 for the limits from x¡ to xf substituting x1 and x2 as the limits, the work done is expressed as W = | + X1 e ( x15 x2 ) x2 MacBook Pro