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Part C: Velocity and Gravitational Fields 1. Complete the chart for the 1 kg rock and its trip through the earth's gravitational field. The rock was powerfully launched straight up from the surface of the earth at 1.0 x 10* m/s. Note: An object's kinetic energy must be a positive value – a negative value is impossible. Distance from Eg velocity ET centre of earth R. 2R. 3R. 4R. 6R. 8R. Really, really far

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calculate the energy required to send a 1 kg object from the surface of Earth to the satellite located 42.16*10^6m from the center of the Earth. Assume the location from which the object is being launched is 6.37*10^6m from the center. a. Use the object's weight at the surface of the earth (g=9.8) to find Newton's proportional constant k for this object. b. Write a definite integral that calculates the energy required to send the object to orbit, then use the Fundamental theorem of calculus to calculate the energy. c. Write t he formula for a Reimann sum that is guaranteed to estimate the energy required to send the object to orbit, accurate with 10^5 J. d. calculate the fraction of the object's total distance traveled at which half of the total required energy is expended.

A 2000 kg lunar lander is in orbit 30 km above the surface of the moon. It needs to move out to a 500 km -high orbit in order to link up with the mother ship that will take the astronauts home. Part A How much work must the thrusters do? Express your answer with the appropriate units. μА Value Units ?

Quantitative Analysis - Work, kinetic energy, and gravitational energy For each of the following situations: a. Choose an initial and final state (states A and B) that will be appropriate (interesting) for analysis. b. If there is not already a physical diagram of the situation and there should be one for proper analysis, include one. c. Construct a system schema of the situation. Do not forget to include the system boundary for the system specified by the problem. Choose your system wisely. d. Construct an energy bar chart and system flow diagram (LOL plots) for each problem. e. You are allowed to add other energy storage modes. You do not have to use the energy storage modes that are printed in each LOL plot. f. Find the unknown value. 1. A heavy, 100-kg anvil is dropped from the top of a tower that is 200 m tall. Once it reached the floor, it caved 10 cm into it before stopping. Calculate the average force the ground exerted on the anvil to stop it. System/Flow E, E, E, E, Position…

A car of mass 1775 kg travels with a velocity of 100 km/h. Find the kinetic energy. How high should the car be lifted in the standard gravitational field to have a potential energy that equals the kinetic energy? a. 23.368 BTU b. 684799.38 kJ c. 649098.941 BTU d. 24652.778 kj

1. Complete the chart for the 1 kg rock and its trip through the earth's gravitational field. The rock was powerfully launched straight up from the surface of the earth at 1.0 x 10* m/s. Note: An object's kinetic energy must be a positive value – a negative value is impossible. Distance from E. E velocity ET centre of earth R. 2R. 3R. 4R. 6R. 8R. Really, really far

The gravitational force exerted by the Sun on the Earth holds the Earth in an orbit around the Sun. Let us assume that the orbit is perfectly circular. The work done by this gravitational force during a short time interval in which the Earth moves through a displacement in its orbital path is. a. ZERO b. positive c. negative d. dificult to determine

Question 10 What is the total energy of the Earth-Sun system? The Earth has a mass of about 6.0 x 1024 kg, and moves at about 30 km/s around the Sun. The Sun has a mass of about 2.0 x 1030 kg, and negligible velocity. The Earth and Sun are about 1.5 x 10¹¹ m apart. Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5. Enter answer here J

ESCAPE VELOCITY Determine the mass of the planet that requires an escape velocity of 5,030 m/s to escape its gravitational pull. Radius of the planet is 3,389.5 km. A. 6.39 x 10^23 kg B. 6.42 x 10^23 kg C. 4.26 x 10^23 kg D. Option 2 Describe the potential and kinetic energy of an object, that obtained escape velocity upon launching, in R = ∞. A. PE = 0 | KE = 0 B. PE = 0 | KE = ∞ C. PE = ∞ | KE = ∞ D. PE = ∞ | KE = 0

You 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.

Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. Each step is of uniform height ?d. The mass of each object is a multiple of the base mass ?m: object 1 has mass 3.10?3.10m, object 2 has mass 1.46?1.46m, and object 3 has mass ?m. When the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. If the objects are then relocated as shown, what is the new total potential energy of the system? Each answer requires the numerical coefficient to an algebraic expression. Each algebraic expression is given using some combination of the variables ?m, ?g, and ?d, where ?g is the acceleration due to gravity. Enter only the numerical coefficient. (Example: If the answer is 1.23???1.23mgd, just enter 1.23) ??,system=Ug,system=     B) This potential energy was calculated relative to the bottom of the stairs. If you were to redefine the reference height such that…

g = 10 m/s^2 * %3D Write your complete justification of the answer on your paper. (To accept your answer, you should write it as .0 just one-digit below the comma and without unit): The two masses in the figure are released from rest. After the 3.0-kg mass has fallen 1.5 m, it is moving with a speed of 3.8 m/s. What is the change in mechanical energy done on the system during this time interval by the frictional force on the 2.0 kg mass? 2.0 kg 30 kg

In the potential energy experiment. If the kinetic energy of the system composed of masses m1 and m2 is 0.818 J. Given that the masses are moving at a speed of 1.56 m/s find the mass of the cart m (in units of kg) when m2= 110 g. m, m, Select one: O A. 1.049 O B. 0.226 OC. 0.840 O D. 0.562 O E. 0.672 Next page ge

2. Which of the following has the greatest gravitational energy with respect to the floor? A. 6 kg mass placed 5 m above the floor. B. 10 kg mass placed 2 m above the floor. C. 2 kg mass placed 10 m above the floor. D. 1000 kg mass resting on the floor

Two 0.56-kg basketballs, each with a radius of 15 cm, are just touching. Part A How much energy is required to change the separation between the centers of the basketballs to 1.0 m ? (Ignore any other gravitational interactions.) Express your answer in joules. ► View Available Hint(s) AU = Submit Part B AU = VE ΑΣΦ Submit How much energy is required to change the separation between the centers of the basketballs to 14 m ? (Ignore any other gravitational interactions.) Express your answer in joules. ► View Available Hint(s) B VE ΑΣΦ ? X ? J

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Put the following locations in terms of potential energy relative to the surface of the Earth starting with the location with the lowest potential energy. I: Surface of the Moon II: Second floor of Shineman II. Mt. Everest IV. Empire State Building O V, II,I O I,V,I, I O I, IV, II, I O II,IV,II,I

I Review Constants Particle A has half the mass and eight times the kinetic energy of particle B. Part A What is the speed ratio va/vB? VA/VB = Submit Previous Answers Request Answer Provide Feedback Next >

During the lift off of a spacecraft, it gains speed and increases its kinetic energy immediately. What happens to the magnitude of the kinetic energy throughout the course of its motion away from this planet?  a.) The kinetic energy is converted into Gravitational Potential Energy as the altitude also increases. b.) The Kinetic Energy stays the same until it exits the Earth's atomsphere. c.) There will be a negative change in the total gravitational potential energy. d.) There will be no effect to the magnitudes of both the kinetic and gravitational potential energy.   If the Earth and an artificial satellite were put into an isolated system, where would the barycenter be located? a.) Near the artificial satellite. b.) Near the midpoint of the system c.) Near the body of the Earth (outside) d.) Inside the body of the Earth

Problem One newly discovered light particle has a mass of m and property q. Suppose it moves within the vicinity of an extremely heavy (fixed in place) particle with a property Q and mass M. When the light particle is xi distance from the heavy particle, it is moving directly away from the heavy particle with a speed of vi. a) What is the lighter particle's speed when it is xf away from the heavy particle? Am m2 Consider a new expression for gravitation potential energy as: PEgrav , where A is a constant, m, and m, are the masses of the two objects, and r is the distance between them. Moreover, the new particle has an additional interaction with the heavy particle through the following force expression 1 Fnew = qQ 4πεο r where Eg is a constant that is read as epsilon subscript 0, q and Q are their new properties, r is the distance between the new particle and the heavy particle. Solution: We may solve this using two approaches. One involves the Newton's Laws and the other involving…