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1. Its raining and your trying to decide whether or not to run or walk. If you walk you'll spend longer in the rain, but if you run you'll be running into the rain and potentially get wetter. The rain is falling with a velocity of v→rain which has both an x-component as it blows sideways and a y-component as it falls. You move with a velocity of v→you which only has an x-direction. If the rain is falling with a density ρ and you have a top area of Atop (which rain will fall onto) and a sideways area of Aside (which rain will fall onto if it blows sideways or you move sideways into it), find an expression for how wet you would be when traveling a distance d, as a function of your velocity.2. The range equation can only be used if the projectile is launched from the ground and returns to the same height as it was fired from. What if instead it was fired from a given height, h?
a) Find the range of an object fired from a height h and at an angle.
b) Find the angle of launch which maximizes the range as a function of height.3. A skateboarder in a death-defying stunt decides to launch herself from a ramp on a hill. The skateboarder leaves the ramp at a height of 1.4 m above the slope, traveling 15 m s-1 and at an angle of 40o to the horizontal. The slope is inclined at 45o to the horizontal.
a) How far down the slope does the skateboarder land?
b) How long is the skateboarder in the air?
c) With what velocity does the skateboarder land on the slope?
A person walks into a room that has, on opposite walls, two planemirrors producing multiple images. When the person is 5.00 ft from the mirror on theleft wall and 10.0 ft from the mirror on the right wall, find the distances from the person to the..
A flat circular coil with 110 turns, a radius of 3.80 × 10-2 m, and a resistance of 0.340 ? is exposed to an external magnetic field that is directed perpendicular to the plane of the coil, Find the induced current in the coil
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if a woman weighs 510 n on earth what would she weigh on jupiter where the acceleration of gravity is 26 ms2?no words
the stopping potential for electrons emitted from a surface illuminated by light of wavelength 484 nm is 0.600 v. when
To measure signal propagation in a nerve in the arm, the nerve is triggered near the armpit. What is the speed of propagation along this nerve
The density of a sample of air is 1.205 kg/m3, and the bulk modulus is 1.42 105 N/m2, Find the temperature of the air sample
An 8.30 kg stone at rest on a spring. The spring is compressed 11 cm by the stone. The stone is after that pushed down an additional 26.00 cm and free. To what highest height (in cm) does the stone rise from that position.
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