The radius of Saturn (from the center to just above the atmosphere) is 60300 km (60300 × 10³ m), and its mass is 5.7 x 1026 kg. An object is launched straight up from just above the atmosphere of Saturn. Part 1 (a) What initial speed is needed so that when the object is far from Saturn its final speed is 17500 m/s? Vinitial = m/s Save for Later Attempts: 0 of 4 used Submit Answer Part 2 (b) What initial speed is needed so that when the object is far from Saturn its final speed is O m/s? (This is called the "escape speed.") Vescape i m/s eTextbook and Media Save for Later Attempts: 0 of 4 used Submit Answer

If one mass is much greater than the other, the larger mass stays essentially at rest while the smaller mass moves toward it. Suppose a 1.5×1013 kg comet is passing the orbit of Mars, heading straight for the 1.99×1030 kg sun at a speed of 4.5 ×104 m/s. What will its speed be when it crosses the orbit of Mercury? The orbit of Mars is 2.28×108 km, the orbit of Mercury is 5.79×107 km, and G = 6.67×10-11 N⋅m2/kg2.

An Atwood's machine consists of two masses m₁ and m₂ joined by a light cord which passes over a pulley. Initially, the heavier mass is positioned a distance h above the floor. The masses are released from rest. At what speed are the masses moving when the heavier mass strikes the floor? Here m₁ = 4kg, m₂ = 6kg, and h = 3m. The cord is long enough so that the lighter mass does not reach the pulley. Devices like this are used in the construction of elevators. (3.4 m/s)

In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core is actually far from spherical, in this problem we’ll model it as a sphere with a mass of 1.0 x 1013 kg and a radius of 1.6 km. If a rock were dropped from a height of 1.0 m above the comet’s surface, how long would it take to hit the surface?

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^2

On 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^2

You 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?

A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.9 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.3 × 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 10¹2 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed= i ! m/s

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A hockey puck with mass 0.1 kg is at rest at the origin (x = 0) on the horizontal, frictionless surface of the rink. At time t = 0 a player applies a force of 0.2 N to the puck, parallel to the x-axis; she continues to apply this force until t = 2 5. (a) What is the speed of the puck at t = 2 s? Round your answer to 2 decimal places.