Derive the expression for the magnitude of tangential speed, v, as a function of the period of motion T and the radius of the orbit r for a particle undergoing uniform circular motion.
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- 1.Explain in your own words about how gravitational force works between two isolated objects and use this understanding to explain how a satellite can remain at the same place above the surface of the rotating earth.2. In an experiment to study Hooke’s law for solid material, the extension for three different wires A, B and C were obtained for various applied force as shown in TABLE Q3b.a.Consider all the extensions were within the elastic limit. Draw graph of extension against force for each wire and use it to identify which of the wires requires the most work done to extend to 3.8 mm.b.Determine the elastic modulus of each wire and arrange them according to their stiffnesses.II. Numerical Physics. Show complete and correct solutions clearly and legibly. Apply Newton's laws of motion in analyzing the given physical systems. Start your solutions by sketching the FBDS. BOX all final answers. 1. A solid uniform 45.0-kg ball of diameter 32.0 cm is supported against a vertical frictionless wall using a thin 30.0-cm wire of negligible mass, as shown. (a) Find the tension in the wire. (b) How hard does the ball push against the wall?23. Consider the following diagram of a red car turning a corner (traveling counter-clockwise): a. Draw the centripetal acceleration and velocity vectors to demonstrate the motion of the car. 10 m b. If the car has a weight of 17,000N and is traveling with a speed of 15 m/s, what centripetal force does it experience? How many "g's" is this car experiencing during this turn? (compare the centripetal acceleration to gravity on Earth, 9.8 m/s^2) 66 с.
- On a separate sheet of paper, solve the following problems. 1. Calculate the force of gravity between Earth (mass = 6.0 x 1024 kg) and Venus (mass = 4.9 x 1024 kg) when they are at their closest distance from each other, 3.8 x 107 km. da m SComplete the following paragraph by Identifying the terms. Drag and drop your answer/s into the provided box. By the end of the sixteenth century, the observation of the astronomical bodies had progressed to a remarkable degree. Tycho Brahe built the large observatory on an island near Copenhagen. Tycho painstakingly recorded precise observations of the motions of the planets using and After Tycho's death, Johannes Kepler studied his data and devise the three laws of planetary motion. The first law states that each planet moves along a/an with the sun at one focus. The second law says that the from the sun to a planet sweeps out equal areas in On the other, the third law says that the of a planet's orbital motion is proportional to the cube of its from the sun. :: mechanical gadgetry :: unaided eye :: telescope : elliptical path :: radius vector :: equal intervals of time square of the period :: mean distance :: areaTwo masses B and C are connected with a string passing over a friction less pully, assuming the coefficient of friction between the table and block is μ=0.4 , and the acceleration of gravity g=9.81 m/s2. Solve the following questions (show all the steps of your calculations): A. Draw the free body diagram of the two masses.B. Find an expression of the acceleration of the two masses in terms of ?? and ??.C. Determine the tension in the rope in terms of ?? and ??.D. If ??= ʎ kg, ?? = (ʎ-5) kg, determine the acceleration of two blocks and the tension in the rope.(ʎ= the final two numbers of your ID +10, and, gravitational acceleration, g = 9.81 m/s2).
- 4. Use the free body diagram and Newton's 2nd law to determine an expression for the Tension in the string from the forces in the vertical direction (should depend on m, g, and 0 only). Tcose Tsin0 mg Tension, T = (m)(g)(sin@) 5. In the horizontal direction the mass moves in a circular path of radius R and speed v. Newton's Second Law here therefore tells us: Combine this with your result from part 4 to determine an expression for v in terms g, 0, and R.Q3.1 Please answer the following question throughly and detailed. Need to understand the concept.Suppose we tie a ball to a string and whirl it around in a circular path whose radius is 40 cm. (0.40 M). Draw a free body diagram next to the physical picture below. Be sure to include the tension force and the gravitational force. Assume the string make an angle of 30° with the horizontal. If the ball has a speed v of 2.5 m/s, what is the numeric value of the acceleration? Where is the force coming from that is producing that acceleration? What is the numeric value of the centripetal force if the mass is 0.5kg? What is the numeric value of the vertical component of the tension force?
- This is an F=ma questions. Remember that force and acceleration are vectors. (That's what the boldface font means.) 1) A 14kg object accelerates at (2,4) m/s2. Calculate the magnitude of the force on the object, in Newtons. 2) Calculate the mass if F = (200, 300) N and a = (0.9, 0.3) m/s2. Enter 0 if there exists no answer.Thank you for helping me with my homework. It is due in one hour, so I hope somebody can help me soon. Also, it is a long question so I don't mind if you subtract multiple questions out of my account. Thank you so much. 2a. Joy is standing on a bathroom scale in an elevator. Yes, people are staring at her. Her mass is 50 kg. What does the scale read when the elevator is at rest? Include the unit. 2b. What does the scale read when the elevator accelerates upward from rest at 2m/s2? 2c. What does the scale read when the elevator moves up with a constant velocity of 10m/s? 3a. Many people are familiar with the fact that a rifle recoils when fired. A gunpowder explosion creates hot gases that expand outward allowing the rifle to push forward on the bullet. Compare the force on the rifle with the force on the bullet in terms of force direction and magnitude. This is a conceptual question. No calculation is needed. 3b. Compare the acceleration on the rifle with the acceleration on the…CAMBRIDGE 1. Your free body diagram for Part 2 should have looked like this: Construct the free-body diagram. 1. Place the tail of the vectors within the confines of the mass. 2. Orient the vectors by dragging the heads in the proper direction. Note: the angles may be within +15°, the magnitudes are not considered, and the vectors do not need to be centered on the mass. (a) Calculate the acceleration. Enter to 3 significant figures a = a = Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force F₁ of 61.0 N, the second a force FR of 90.0 N, friction f is 12.0 N, and the mass of the third child plus wagon is 24.0 kg. Assume that all quantities are correct to 3 significant figures. Think & Prepare 1. Consider the direction of the forces. The forces applied by the two children outside of the wagon are stated to be in opposition to one another. What about friction? With respect to the direction of motion, how…