A ball of mass m moving without rolling off a smooth inclined plane mass M lying on a smooth floor. Gravitational acceleration g. If the initial position m is (0, h) a) Where is the ball when it hits the floor? b) What is the velocity vector just before it hits the floor?
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- An astronaut lost in space is far from any other mass (i.e.,gravity is negligible). He swings a weight of mass m = 0.5 kg that is tiedto a string, and it undergoes counterclockwise circular motion with aradius r = 2 m. The mass does a revolution once every 3 seconds.a) Draw the velocity and acceleration vectors of mass m at points p1,p2, and p3.b) What is the velocity?c) What is the centripetal force?d) What is the magnitude of the tension force in the string?A newly discovered planet moves in a circular orbit around the star at a constant speed. The direction of the planet's acceleration is:Algebraic relation. Two particles, A and B, are in uniform circular motion about a common center. The acceleration of particle A is k times that of particle B and the speed of A is 3 times that of B. Find the numerical value of the ratio of their radii, A/B if [] k 9.4 B = 1.4 TA/TB = Please record your numerical answer below, assuming three significant figures.
- You are a visitor aboard the New International Space Station, which is in a circular orbit around the Earth with an orbital speed of ?o=2.45 km/s�o=2.45 km/s . The station is equipped with a high velocity projectile launcher, which can be used to launch small projectiles in various directions at high speeds. Most of the time, the projectiles either enter new orbits around the Earth or eventually fall down and hit the Earth. However, as you know from your physics courses at the Academy, projectiles launched with a sufficiently great initial speed can travel away from the Earth indefinitely, always slowing down but never falling back to Earth. With what minimum total speed, relative to the Earth, would projectiles need to be launched from the station in order to "escape" in this way? For reference, recall that the radius of the Earth is ?E=6370000 m�E=6370000 m, the mass of the Earth is ?E=5.98×1024 kg�E=5.98×1024 kg , the acceleration due to gravity on the surface of the Earth is ?=9.81…I am having trouble with a 3 d motion problem. The problem is as follows, "A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.600 m/s in 1.80 s. At t = 1.29 s, find the magnitude and direction of each of the following." The problem asks me to find the radial acceleration, the tangential acceleration, and the total acceleration of the point. Thanks for the help.Please provide assistance with the question attached below:
- NASA’s Cassini mission to Saturn released aprobe on December 25, 2004, that landed on the Saturnian moonTitan on January 14, 2005. The probe, which was named Huygens,was released with a gentle relative speed of 31 cm>s. As Huygensmoved away from the main spacecraft, it rotated at a rate of sevenrevolutions per minute. (a) How many revolutions had Huygenscompleted when it was 150 yards from the mother ship? (b) Howfar did Huygens move away from the mother ship during each revolution? Give your answer in feetTwo satellites s, and S, orbit around a planet P in circular orbits of radii r, of the second satellite, S, in m/s? = 5.30 x 106 m, and r, = 8.65 x 106 m respectively. If the speed of the first satellite S, is 1.55 x 104 m/s, what is the speed m/sA race car is traveling on a circular track with a radius of 100m at a constant speed of 55m/s.(a) What is the race car’s period, T?(b) What is the race car’s angular frequency, ω?(c) What is the race car’s centripetal acceleration, Ac?