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A 52.0 {\rm kg} ice skater spins about a vertical axis through her body with her arms horizontally outstretched, making 2.50 turns each second. The distance from one hand to the other is 1.5 {\rm m}. Biometric measurements indicate that each hand typically makes up about 1.25 \% of body weight.
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An oscillator with a mass of 550 and a period of 0.400 has an amplitude that decreases by 2.50% during each complete oscillation.
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A race car starts from rest on a circular track of radius 434 m. The car's speed increases at the constant rate of 0.710 m/s2. At the point where the magnitudes of the centripetal and tangential accelerations are equal, find the following.
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Does the hanging mass move in a circular path while you are counting the revolutions of the stopper? what is responsible for this?
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The triangular prism shown in Figure I above has index of refraction 1.5 and angles of 37 , 53 , and 90 . The shortest side of the prism is set on a horizontal table. A beam of light, initially horizontal, is incident on the prism from the left. a. On Figure I above, sketch the path of...
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Suppose that a gangster sprays Superman's chest with 3 g bullets at the rate of 115 bullets/min, the speed of each bullet being 450 m/s. Suppose too that the bullets rebound straight back with no change in speed. What is the magnitude of the average force on Superman's chest from the...
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A 2.00 -long, 550 rope pulls a 8.00 block of ice across a horizontal, frictionless surface. The block accelerates at 2.00 . How much force pulls forward on (a) the ice, (b) the rope?
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What is the acceleration experienced by the tip of the 1.7 cm-long sweep second hand on your wrist watch?
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Imagine that you are standing in a canyon and you shout across it. The echo returns to you 4 seconds later. How wide would you estimate the canyon to be?
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A dog pulls on a pillow with a force of 3.8 N at an angle of 37.9 above the horizontal a) What is the x component of this force? Answer in units of N.
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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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