How many years does it take for planet to go around the sun if its distance is 2.1 times away from the sun as the earth is.
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How many years does it take for planet to go around the sun if its distance is 2.1 times away from the sun as the earth is.
A 80 kg person, from the top of a 13 m cliff, throws a 100 g ball at an angle of 30 degrees above the horizontal. With what speed will the ball hit the ground below? (g = 9.8 m/s2).
As per our honor code, we are authorized to answer only one question at a time. So, we are answering the first question. Please repost your other question separately.
According to Kepler's law of periods: The square of the time period of revolution of a planet in elliptical orbit around the sun, is proportional to the cube of the semi-major axis of the elliptical orbit.
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- On planet #2, you launch a projectile straight up from the ground at a speed of 29.7 m/s. The projectile reaches a maximum height of 34.3 m before falling back to the ground. What is the value of g for planet #2? 25.72 m/s^2 19.81 m/s^2 39.61 m/s^2 12.86 m/s^2On planet #2, you launch a projectile straight up from the ground at a speed of 28.5 m/s. The projectile reaches a maximum height of 66.2 m before falling back to the ground. What is the value of g for planet #2? 76.88 m/s^2 153.77 m/s^2 6.13 m/s^2 12.27 m/s^2You are working part-time for the GT Sports Media Complex, editing video for the women’s softball team. In one particular clip, a GT player hits a home run over the center field fence. The ball leaves the bat at a height of 4 ft, and crosses the outfield fence (220 ft away) at a height of 10 ft. Logs of the game indicate that the pitch was clocked at 68 mph as it reached the plate. Your frame-by-frame analysis of the 30-frame-per-second video indicate that the ball spent only a single frame in contact with tha bat, and another 126 frames travelling to the outfield fence. A quick internet seach tells you that a typical college softball weighs 0.4 lb. How many pounds of average force act on the ball during ocntact with the bat?
- Spaceship Malfunction. You and your team get a distress call from another ship indicating that there has been an explosion and their propulsion and navigation systems are now off line. A large piece of their ship has been jettisoned into space, and their life support systems are failing. They need help as soon as possible. You try to track them, but are only able to pick up the piece of the craft that had been projected away from them in the explosion. You look up the make and model of their ship, a Galaxy Explorer 5000 (GE 5000), which has a total mass of 51000 kg. The piece heading in your direction is the ship's storage module, and has a mass of 8500 kg. The GE 5000 was at rest with respect to your ship at the time of the explosion. (a) Assuming you received the distress call 20 minutes before the jettisoned storage module passed by your ship at a speed of 650 m/s, what is the speed of the damaged craft? (b) How far away is the Galaxy Explorer 5000 when its storage module passes by?…A 1,865.66 kg car at rest at the top of a hill 20 m high is given a nudge and begins to roll down the hill. It rolls up a 8.39 m hill on the other side. How fast is it moving as it tops the lower hill?3. A 1-kg mass at sea level on Earth (g = 9.80 m/s²) weighs 2.2 lbs. How much would a baseball (m = 145 g) weigh on Earth? On the moon (g 1.62 m/s²)? On the sun (g = 274 m/s²)? On Mars (g = 3.71 m/s²)? On Jupiter (g 24.8 m/s²)? (1 N = 0.22 lbs) =
- On planet #3, you fire a projectile horizontally from the edge of a vertical cliff 76.0 m above the ground, with an initial speed of 31.2 m/s. The projectile lands 71.5 m away from the base of the cliff. What is the value of g for planet #3? 848.50 m/s^2 28.94 m/s^2 14.47 m/s^2 12.05 m/s^2The muzzle velocity of a typical 500 g spud is 25 m/s . The force given by the spud is K/(x+.09) where x is the distance of the barrel in meters. If the length of the barrel is 75 cm, what is the constant K? What is the force on the spud?On planet #4, you fire a projectile from the ground at an initial speed of 27.7 m/s at an angle of 36.8 degrees above the horizontal. The projectile lands 52.6 m away from the launch point. What is the value of g for planet #4? 8.7 m/s^2 95.8 m/s^2 59.8 m/s^2 14.0 m/s^2
- The mass of the Earth is 5.98 × 1024 kg.A 3.87 kg bowling ball initially at rest isdropped from a height of 4.76 m.The acceleration of gravity is 9.8 m/s2. What is the speed of the Earth coming upto meet the ball just before the ball hits theground?As part of an obstacle course, an athlete must kick a soccer ball into a 1 meter wide and 10 meter deep pit such that the ball hits a target at the bottom of the pit. In practice, a dynamics student that is participating in the race kicks the soccer ball such that the soccer ball will bounce off the far wall of the pit 5 meters below the surface and head towards the target. If the velocity of the ball before striking the wall at point at point A is v4 = 2.6i – 10j m, determine the t-component of the ) after striking the wall. The size of the ball and the target ball velocity vector (in are negligible relative to the dimensions of the pit, the gravity acceleration must be considered as g 10 m and the coefficient of restitution at point A is e =0.35. 5 m t 10 m 1m 三A child of mass 26 kg , is sliding down a water-slide that has an angle of 32 deg. If the water lubricates the slide to a frictionless surface, and the slide is 9 meters long. What is the child's velocity at the bottom?