Consider replacingthe pair of polar coordinates r and theta by the pair of coordinates r and q where q=sin(theta). What is the kinetic energy of the material?
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Consider replacingthe pair of polar coordinates r and theta by the pair of coordinates r and q where q=sin(theta). What is the kinetic energy of the material?

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- A 4 kg particle has an initial velocity of (6i–3j) m/s. Some time later, its velocity changes to (8i+3j) m/s. What work (in J) was done by the resultant force during this time interval?A shooting star is a meteoroid that burns up when it reaches Earth’s atmosphere. Many of these meteoroids are quite small. Compare the kinetic energy of a shooting star to that of a moving car. (a) What is the kinetic energy of a meteoroid of mass 4.84 g moving at a speed of 49.2 km/s? (b) What is the kinetic energy of a 1054-kg car moving at 28.9 m/s (64.6 mi/h)?A 51-kg box is being pushed a distance of 7.0 m across the floor by a force P→ whose magnitude is 185 N. The force P→ is parallel to the displacement of the box. The coefficient of kinetic friction is 0.21. Determine the work done on the box by each of the four forces that act on the box. Be sure to include the proper plus or minus sign for the work done by each force.
- Thanks to recent satellite data, we know that the North American continent is drifting westward at a speed of about 1cm/yr. We can assume that the solid part of a continent is about 50 kilometers thick. Estimate the kinetic energy that the continental US has as a result of this motion.Needs Complete typed solution with 100 % accuracy.A book of mass 6.3 kg is sliding along a level table with an initial speed of 3.8 m/s. The coefficient of kinetic friction between the book and the table is 0.72. The block eventually comes to rest. During this process 30% of the thermal energy generated goes into the book. Calculate the change in thermal energy of the table.
- A 39.0 kg box initially at rest is pushed 5.15 m along a rough, horizontal floor with a constant applied horizontal force of 140 N. If the coefficient of friction between box and floor is 0.300, find the following. (a) the work done by the applied force The correct answer is not zero. J (b) the increase in internal energy in the box-floor system due to friction The correct answer is not zero. J (c) the work done by the normal force (d) the work done by the gravitational force (e) the change in kinetic energy of the box The correct answer is not zero. J (f) the final speed of the box The correct answer is not zero. m/sGive a specific example of a system with the energy transformation shown. In the question, W is the work done on the system, and K, U, and Eth are the kinetic, potential, and thermal energies of the system, respectively. Any energy not mentioned in the transformation is assumed to remain constant; if work is not mentioned, it is assumed to be zero. U → ΔEth