Review Con Part A A rocket cruises past a laboratory at 0.750 x 10° m/s in the positive x-direction just as a proton is launched with velocity (in the laboratory frame) What is the proton's speed in the laboratory frame? Express your answer with the appropriate units. = (1.27 x 10°î + 1.27 x 10°;) m/s. |] ? Value Units v = Submit Request Answer Part B What is the angle from the y-axis of the proton's speed in the laboratory frame? Express your answer with the appropriate units. |] ? O = Value Units P Pearson
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- C3T.1 The x, y, and z directions of a reference frame point up,west, and north, respectively. Such a coordinate system is right-handed. T or F?Projectile motion A projectile is launched from the origin, which is a point 50 ft from a 30-ft vertical cliff (see figure). It is launched at a speed of 50√2 ft/s at an angle of 45° to the horizontal. Assume the ground is horizontal on top of the cliff and that only the gravitational force affects the motion of the object.a. Give the coordinates of the landing spot of the projectile on the top of the cliff.b. What is the maximum height reached by the projectile?c. What is the time of flight?d. Write the integral that gives the length of the trajectory.e. Approximate the length of the trajectory.f. What is the range of launch angles needed to clear the edge of the cliff?A 800 kg cart is rolling to the right at 1.10 m/s. A 70.0 kg man is standing on the right end of the cart. Part A What is the speed of the cart if the man suddenly starts running to the left with a speed of 8.00 m/s relative to the cart? Express your answer with the appropriate units. μA Value Submit Units Request Answer ?A rocket with mass 7.00×103 kgkg is in a circular orbit of radius 7.50×106 mm around the earth. The rocket's engines fire for a period of time to increase that radius to 8.80×106 mm, with the orbit again circular. Part A What is the change in the rocket's kinetic energy? Does the kinetic energy increase or decrease? Express your answer with the appropriate units. Enter positive value if the kinetic energy increases and negative value if the kinetic energy decreases. ΔKΔK = nothingnothing SubmitRequest Answer Part B What is the change in the rocket's gravitational potential energy? Does the potential energy increase or decrease? Express your answer with the appropriate units. Enter positive value if the gravitational potential energy increases and negative value if the gravitational potential energy decreases. ΔUΔU = nothingnothing SubmitRequest Answer Part C How much work…A 5.0-m-diameter merry-go-round is turning with a 3.5 s period. Part A What is the speed of a child on the rim? Express your answer in meters per second.Binary Star SystemAstronomers discover a binary star system with a period of 90 days, separated by a distanced. Both stars have a mass M that is twice that of the Sun.Problem 3.3. How far apart are the two starsPart A In the fall of 2002, a group of scientists at Los Alamos National Laboratory determined that the critical mass of neptunium-237 is about 60.0 kg. The critical mass of a fissionable material is the minimum amount that must be brought together to start a chain reaction. Neptunium-237 has a density of 19.5 g/cm³. What would be the radius r of a sphere of neptunium-237 that has a critical mass? Express your answer in centimeters to three significant figures. ▸ View Available Hint(s) r = 跖 ΕΠΙ ΑΣΦ 0 ? cmAn astronaut, whose mission is to go where no one has gone before, lands on a spherical planet in a distant galaxy. As she stands on the surface of the planet, she releases a small rock from rest and finds that it takes the rock 0.500 s to fall 1.90 m. Part A If the radius of the planet is 9.50 x 107 m, what is the mass of the planet? Express your answer with the appropriate units. mp = Submit ol Provide Fee μα Value kg Previous Answers Request Answer ? X Incorrect; Try Again; 7 attempts remainingA ball is thrown at an initial height of 90 feet at an initial velocity of 55 feet/second at an angle of 75 degrees. Given the parametric equations y = 16t2 + Vo · Sin(0)t + ho and r = Vo Cos(0)t. When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 3 seconds? feet. b. When will the object hit the ground? seconds. c. How far horizontally will the ball be when it hits the ground? feet. d. When will the ball be at its maximum height? seconds. e. What is the ball's maximum height? feet. f. How far horizontally will the ball be when it reaches its maximum height? feetSolve the separable equation.C D ESEE MORE QUESTIONS