The three spheres in the figure, with masses mà = 75 g, mB = 9 g, and mc = 23 g, have their centers on a common line, with L = 23 cm and d = 4 cm. You move sphere B along the line until its center-to-center separation from C is d = 4 cm. How much work is done on sphere B(a) by you and (b) by the net gravitational force on B due to spheres A and C? B L
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- Chapter 13, Problem 037 GO The three spheres in the figure, with masses ma = 73 g, mg = 8 g, and mc = 20 g, have their centers on a common line, with L = 20 cm and d = 4 cm. You move sphere B along the line until its center-to-center separation from C is d = 4 cm. How much work is done on sphere B(a) by you and (b) by the net gravitational force on B due to spheres A and C? B (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Work Question Attempts: 0 of 10 used SAVE FOR LATER SUBMIT ANSWERIn order to increase the amount of exercise in her daily routine, Tara decides to walk up the six flights of stairs to her car instead of taking the elevator. Each of the steps she takes are 18.0 cm high, and there are 12 steps per flight. (a) If Tara has a mass of 60.5 kg, what is the change in the gravitational potential energy of the Tara-Earth system (in J) when she reaches her car? J (b) If the human body burns 1.5 Calories (6.28 x 10³ ) for each ten steps climbed, how much energy (in J) has Tara burned during her climb? J (c) How does the energy she burned compare to the change in the gravitational potential energy of the system? Eburned ΔυSomeone drops a 70 – g pebble off of a docked cruise ship, 50.0 m from the water line. A person on a dock 5.0 m from the water line holds out a net to catch the pebble. (a) How much work is done on the pebble by gravity during the drop? (b) What is the change in the gravitational potential energy during the drop? If the gravitational potential energy is zero at the water line, what is the gravitational potential energy (c) when the pebble is dropped? (d) When it reaches the net? What if the gravitational potential energy was 40.0 Joules at water level? (e) Find the answers to the same questions in (c) and (d). |
- A coin slides over a frictionless plane and across an xy coordinate system from the origin to a point with xy coordinates (3.70 m, 4.78 m) while a constant force acts on it. The force has magnitude 2.08 N and is directed at a counterclockwise angle of 100° from the positive direction of the x axis. How much work is done by the force on the coin during the displacement?A 0.23-kg stone is held 1.1 m above the top edge of a water well and then dropped into it. The well has a depth of 4.6 m. (a) Relative to the configuration with the stone at the top edge of the well, what is the gravitational potential energy of the stone-Earth system before the stone is released? (b) Relative to the configuration with the stone at the top edge of the well, what is the gravitational potential energy of the stone-Earth system when it reaches the bottom of the well? (c) What is the change in gravitational potential energy of the system from release to reaching the bottom of the well?The potential energy of a particle as a function of position will be given as U(x) = A x2 + B x + C,where U will be in joules when x is in meters. A, B, and C are constants. What is the force on this particle, in newtons, at x+39cm, if the constants are A= 2.2 J/m^2 , B= 2.2 J/m, and C=6.5 J?
- In the figure, a frictionless roller coaster car of mass m = 992 kg tops the first hill with speed v0 = 16.7 m/s at height h = 40.7 m. How much work does the gravitational force do on the car from that point to (a) point A, (b) point B, and (c) point C? If the gravitational potential energy of the car-Earth system is taken to be zero at C, what is its value when the car is at (d) B and (e) A? I know the first one is 0 J.In deep space, sphere A of mass 30 kg is located at the origin of an x axis and sphere B of mass 10 kg is located on the axis at x = 0.85 m. Sphere B is released from rest while sphere A is held at the origin. (a) What is the gravitational potential energy of the two-sphere system just as B is released? (b) What is the kinetic energy of B when it has moved 0.25 m toward A? Additional Materials eBook Powers of TenThe three spheres in the figure, with masses mA = 79 g, mB = 7 g, and mc = 22 g, have their centers on a common line, with L = 21 cm and d = 4 cm. You move sphere B along the line until its center-to-center separation from C is d = 4 cm. How much work is done on sphere B(a) by you and (b) by the net gravitational force on B due to spheres A and C? (a) Number i (b) Number i B Units Units C ✪ ✪
- particle in the xy plane travels along a spiral path C beginning at a point P that is 8 units from the origin and ending at a point Q that is 2 units from the origin. The particle makes 2.5 revolutions around the origin along the way. What is the work done by the gravitational field F(x,y) = -x/(x^2=y^2)^3/2 i + -y/(x^2+y^2)^3/2 j in moving the particle along its path. Enter your answer as an integer or a deimal rounded to 3 placesA 600 N person climbs a ladder at a constant speed. The person climbs up 12 meters in a time of 20 seconds. What is the work done and the power exerted?A particle moves along a curved path y(x) = (10 m){1+cos[(0.1 m−1)x]} , from x = 0 to x = 10π m, subject to a tangential force of variable magnitude F(x) = (10 N)sin[(0.1 m−1)x]. How much work does the force do? (Hint: Consult a table of integrals or use a numerical integration program.)