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A 2.0-kg block is released from rest and allowed to slide down a frictionless surface and into a spring. The far end of the spring is attached to a wall, as shown. The initial height of the block is 0.5 m above the lowest part of the slide and the spring constant is 450 N/m.What is the...
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After driving a portion of the route, the taptap (2.94 * 10^4 N/m) is fully loaded with a total of 25 people with an average mass of 60 \rm kg per person. In addition, there are three 15-\rm kg goats, five 3-\rm kg chickens, and a total of 25 \rm kg of bananas on their way to the market. Assume...
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A 47.0 g golf ball is driven from the tee with an initial speed of 54.0 m/s and rises to a height of 23.2 m. (a) Neglect air resistance and determine the kinetic energy of the ball at its highest point. What is its speed when it is 9.0 m below its highest point
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It takes 189 kJ of work to accelerate a car from 23.9 m/s to 28.0 m/s. What is the car's mass?
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A railroad car of mass 3.00 104 kg moving at 2.50 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 1.20 m/s
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Two horizontal forces, 235 N and 183 N, are exerted on a canoe. If the these forces are applied in the same directions, find the net horizontal force on the crate.
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A thin uniform rod has mass M = 0.3 kg and length L= 0.55 m. It has a pivot at one end and is at rest on a compressed spring as shown in (A). The rod is released from an angle 1= 63.0o, and moves through its horizontal position at (B) and up to (C) where it stops with 2 = 109.0o, and then falls...
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A frictionless roller coaster is given an initial velocity of v0 at height h = 22 m. The radius of curvature of the track at point A is R = 35 m.
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A 70.0 kg astronaut pushed to the left of a spacecraft with a force F in gravity free space, The spacecraft has a total mass of 1.0 x 10(4)kg. During the push, the astronaut accelerates to the right with an acceleration of 0.36 m/s(2). Determine the magniture of the acceleration of the...
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In baseball, the rules specify that the ball is 23.1 in circumference with a mass of 141 . (These numbers can vary slightly.) If a pitcher throws a fastball at 31.0 , its spin typically can be 24.0 . We can reasonably model the ball as a uniform solid sphere. How much total kinetic energy has...
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- The Earth’s rate of rotation is constantly decreasing, causing the day to increase in duration. In the year 2000 the Earth takes about 0.548 s longer to complete 365 revolutions than it did in the year 1900.
- (a) What is the average angular acceleration of the Earth?
- (b) If this average acceleration remains constant, in what year will the Earths rotation come to rest?
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- A spherical balloon is made from a material whose mass is 3.00-kg. The thickness of the material is negligible compared to the 1.5-m radius of the balloon. The balloon is filled with helium (He) at a temperature of 305-degrees K and just floats in the air, neither rising nor falling. The density of the surrounding air is 1.19-kg/m^3. Find the absolute pressure of the helium gas
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