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Consider a right triangle with sides of length x and y, a hypotenuse of length r, and an interior angle theta, such that tan(theta) = y/x. To an observer moving parallel to side x with speed v, the triangle has sides of length x' and y', a hypotenuse of length r', and an interior angle "theta prime".
(a) Does the moving observer see it as a right triangle? Explain.
(b) Find an expression for the angle "theta prime" in terms of theta and v.
(c) Find an expression for r' in terms of r, v, and theta.
You are standing on a sheet of ice that covers the football stadium parking lot in Buffalo; there is negligible friction between your feet and the ice. If you catch the ball, with what speed do you and the ball move afterwards
A 400kg piano slides 4.0 m down a 30 degree incline and is kept from accelerating by a man who is pushing back on it parallel to the incline. Find out the force exerted by the man.
An empty elevator has a mass of 365.2 kg, and the people inside have a total mass of 172.1 kg. What is the net force on the elevator
23g of copper pellets are removed from a 300?C oven and immediately dropped into 70mL of water at 23?C in an insulated cup
A 1300 kilogram car has a maximum power output of 130 horsepower. Definer how steep hills can it climb at a constant speed of 94 km/h if the frictional forces add up to 800 Newton
On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a golf club improvised from a tool, How long was the ball flight
A 55.4 g arrow traveling at 64.7 m/s hits a bale of hay and stops after entering 0.37 m into the hay. Assuming constant acceleration, find the magnitude of the force in N by the bale on the arrow.
What is the minimum rate of rotation, in revolutions per minute, required for the spheres to contact the cylinder wall?
A force F = - k ( x ˆ i + y ˆ j ) [where k is a positive constant] acts on a particle moving in the x-y plane.Starting from origin, the particle is taken to (a, a) and then to ( a 2 , 0. Find the total work done
A 54 kilogram pole vaulted running at13 m/s vaults over the bar. Her speed when she is above the bar is 1.3 m/s. calculate her altitude as she crosses the bar
A braking force is applied to a 300kg motorcycle to reduce its speed to reduce its speed from 20.0m/s to 16.0m/s in 10.0s. find the change that has taken place in the momentum of the motorcycle
Dizziness. Our balance is maintained, at least in part, by the endolymph fluid in the inner ear. Spinning displaces this fluid, causing dizziness, What is the radical acceleration (in m/s^2) of the endolymph fluid
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