6. Two carts, of mass 4.5 kg and 1.0 kg, are moving towards each other along the same straight, level track at 2.0 m/s to the right and 4.0 m/s to the left, respectively. Their collision is cushioned by an elastic spring between them. If the force constant of the spring is 900 N/m, what is its maximum compression during the collision?
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Answer all questions in the space provided.Show ALL your steps in your calculations. Answer in complete sentences and therefore statement
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- I solved for part a and part b which asked part a) The plane flies at 554 miles per hour, relative to the skyscraper. If Casey throws the ball to Matt at 23 miles per hour, relative to the plane, then what speed will Myles see the ball move at? (I got speed of 577 miles per hour). For part b they asked "Matt subsequently tosses the ball back to Casey, at 25 miles per hour. What speed does Myles see the ball move at? (I got 529 mph) now I need help with part c and part d. part c) Lets's imagine that instead of an airplane, Casey and Matt are on a rocketship, traveling at 93% of the speed of light. Additionally, Casey and Matt have been training very hard and so can toss the ball incredibly fast. If Casey throws the ball to Matt at 25% of the speed of light, relative to the rocket, then what speed will Myles see the ball move at? part d) Did you use Galilean Relativity or Special Relativity to compute the speeds in part a-c? Why did you choose to use the equation you chose for each…Use the Law of Gravitation with Kepler's third Law to determine the mass of the Earth Show the equation used for your calculation You can write Greek letters in the western alphabet (e.g. pi). Separate variables on the same line using * (e.g. x*y). Don't forget to include units!I don't know how to solve #3 #1 Orbital DynamicsSuppose a satellite is in orbit about the Earth at a height of 2500 km above the surface of the Earth. If the radius of the Earth is 6370 km, what is the radius of the satellite’s orbit? Recall that r = RE + H. #2 Orbital Dynamics In #1, what is the period of the satellite’s orbit in hours? It may be helpful to remember that G = 6.67 × 10^−11 kg−1m^s^−2, while mass of Earth = 5.96 × 10^24 kg. #3 Orbital DynamicsIn #1, what is the magnitude of the force of gravity if the satellite has a mass of 550 kg? A. 0.00 N B. 1,920 N C. 2,780 N D. 3,610 N
- 5 and 6. Thanks.Chap and Gravity Conversion of Mass to Energy converted to energy. How many joules (J) of energy are produced? In a nuclear reactor, 0.15 kilogram (kg) of uranium-235 is completely 1. Read and Understand What information are you given? Mass = m = 0.15 kg Speed of light = c = 300,000,000 m/s = 3 × 108 m/s 2. Plan and Solve What unknown are you trying to calculate? The amount of energy produced = E = ? What formula contains the given quantities and the unknown? E = mc2 Replace each variable with its known variable and known value. E = (0.15 kg)(3.00 × 108 m/s)² E = 1.35 x 10¹6 kg-m²/s² = 1.4 x 1016 J 3. Look Back and Check Is your answer reasonable? Yes, the calculated number is quite large compared to the mass, and the units indicate energy. 2. In a nuclear reactor, 0.20 kilogram of uranium-235 and 0.50 kilogram of plutonium-239 are completely converted to energy. How many joules of energy are produced?Milestone A: Walk 3.2 km (~2 miles) towards northeast. Milestone B: Walk 1.3 km towards southeast. Milestone C: Walk 2.4 km directly south. Surprise at the end! You have arrived at the treasure! Distance: What is the total distance traveled if you walk the distance A, B, C? Give your answer in km and miles. 2. Direction: a. what is meant by “north east?” b. what direction would this be on a cartesian coordinate system? c. What is meant by “south east?” d. What direction would this be on a cartesian coordinate system? e. What about “south”? f. What direction on cartesian coordinate system? 3. Draw the diagram: include drawing the resultant a. What does the resultant vector represent? 4. Calculate: use trigonometry to find the displacement.