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An airplane must reach a speed of 197 mi/h to take off. If the runway is 462 m long, what is the minimum value of the acceleration that will allow the airplane to take off successfully?
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Use the sine function to determine how long of a board you need to use to make a ramp that just reaches the 1.00- high truck bed at a 40 angle to the ground.
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A slide projector needs to create a 80 cm high image of a 2.0 cm tall slide. The screen is 240 cm from the slide. Assume that it is a thin lens.
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A hotel elevator ascends 110 {\rm m} with a maximum speed of 4.0 {\rm m/s}. Its acceleration and deceleration both have a magnitude of 1.2 {\rm m/s^2}.
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Calculate the magnitude of the gravitational force exerted by Mercury on a 65 kg human standing on the surface of Mercury. (The mass of Mercury is 3.31023 kg and its radius is 2.4106 m.)
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A solid cube with the length of each side equal to 2.19 cm has a mass of 7.6 g. What is the density of the cube in kg/m3?
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at rest, a light source emits 532 nm light. as it moves along a line connecting it and Earth, observers on Earth measure the wavelength to be 412 nm. What is the sources velocity and direction?
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A 150 g copper bowl contains 130 g of water, both at 20.0 C. A very hot 380 g copper cylinder is dropped into the water, causing the water to boil, with 13.0 g being converted to steam. The final temperature of the system is 100 C. Neglect energy transfers with the environment. (a) How much...
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Two crates, of mass 65 kg and 125 kg, are in contact and at rest on a horizontal surface (see figure). A 650 N force is exerted on the 65 kg crate. The coefficient of kinetic friction is 0.12. (a) Calculate the acceleration of the system. m/s2 (to the right) (b) Calculate the force...
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A car is driven 115 km west and then 35 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)?
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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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