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A cheetah is traveling across the African countryside, initially moving at a constant velocity of 16 m/s. It sees a gazelle at t = 0 seconds and begins to accelerate in a straight line. At t = 4.0 seconds it has a velocity of 23 m/s and then continues to move at this constant velocity. At t = 5.0 seconds, the cheetah is standing still, having knocked over the gazelle. What is the average acceleration of the cheetah from t = 0 to t = 5.0 seconds?
A copper block rests 25.5cm from the center of a steel turntable. The coefficient of static friction between block and surface is 0.52. The turntable starts from rest and rotates with a constant angular acceleration of 0.475 rad/s2. After what tim..
Gas in a container is at a pressure of 1.5 atm and a volume of 4.0m3. What is the work done on the gas (a)if it expands at constant pressure to twice its initial volume? (b) if it is compressed at constant pressure to one-quarter its initial volum..
If a metric ton is 1.000 x10^e3 kg, how many 74 kg people can safely occupy an elevator that can hold a maximum mass of accurately 1 metric ton.
Two particles moving under the influence of their mutual gravitational force describe circular orbits about one another with a period T. If they are suddenly stopped in their orbits and allowed to gravitate towards each other, show that they would..
At the instant of engine burnout, the rocket has risen to 52 m and acquired a velocity of 40 m/s. The rocket continues to rise in unpowered flight, reaches most height and falls back to the ground.
A hypodermic needle consists of the plunger of circular cross-section that slides inside a hollow cylindrical syringe. When the plunger is pushed, the contents of syringe are forced through a hollow needle.
what is the frequency of vibration of the string. If the shot was launched from 6.00 f above the ground at an initial angle of 42.0 degrees , what was its initial speed.
You're standing on a carousel 1.34 m from its axis of rotation. What minimum distance would you need to walk to arrive at a position where your contribution to the total moment of inertia has doubled?
A particular guitar string is supposed to vibrate at 191- Hz, but it is measured to actually vibrate at 210- Hz. By what percent should the tension in string be changed to get the frequency to the correct value.
A converging lens has a focal length of f = 26 cm. An object is placed 39 cm from the lens. Find out the size of an image in cm if the object has a height of 5 cm. express answer with one decimal place.
A space vehicle is orbiting Earth in the circular orbit with a radius of 10,300,000 m. What is the minimum increase in speed that is essential for the vehicle to escape Earth's gravitational field? The mass of Earth is 5.97 x 10^24 kg and G = 6.67 X ..
A helicopter is ascending vertically with a speed of 5.45m/s. At a height of 141m above the Earth, a package is dropped from a window. How much time does it take for package to reach the ground.
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