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package of mass 10 kg sits at the equator of an airless asteroid of mass 6.8 105 kg and radius 46 m, which is spinning so that a point on the equator is moving with speed 4 m/s. We want to launch the package in such a way that it will never come back, and when it is very far from the asteroid it will be traveling with speed 187 m/s. We have a large and powerful spring whose stiffness is 3.0 105 N/m. How much must we compress the spring?
An electric wire that has a mass of 5 kg for a 20m length is strung between two poles 20 m apart. What should be the tension in the wire if it is to take 0.8 seconds for a pulse to travel along the wire from one pole to the other.
What is the speed of the bullet.
What is the horizontal component of velocity
A ceiling fan with 80-cm-diameter blades is turning at 60rpm. Suppose the fan coasts to a stop 30s after being turned off.
Gayle runs at a speed of 4m/s and dives on a sled, initially at rest on the top of a frictionless snow covered hill. After she has descended a vertical distance of 5m, her brother.
An electronics technician wishes to construct a parallel-plate capacitor using rutile (? = 1.00 102) as the dielectric. If the cross-sectional area of the plates is 1.00 cm2, what is the capacitance if the rutile thickness is 1.00 mm?
A 100g wire is held under a tension of 250N with one end at x = 0 and other x = 10m. At time t = 0, pulse 1 is sent along the wire from the end at x = 10 m. At time t = 30 ms, pulse 2 is sent along the wire from the x = 0. At what position x do the..
An engine has an efficiency e1. The engine takes input heat QH from a hot reservoir and delivers work W1. The heat rejected by this engine is used as input heat for a second engine.
calculate the total mechanical energy of the glider at any point in its motion. Calculate the maximum speed of glider.
Fred and Barney are two electric charges that are to begin with held 1 meter apart and experience an electric repulsion of 10 pounds of force. What would be the force of repulsion between them be if the two were moved closer together so that they ..
A soccer ball lying on the ground is kicked with an initial velocity of 10.0 m/s at an angle of 37 degrees above the horizontal. How far over does it land on the ground?
A young woman buys a sports car that can accelerate at the rate of 5.47m/s2. She decides to test the car by drag racing with another speedster, Stan Speedy. Both start from rest, but experienced Stan leaves the starting line 1.47s before Kathy. Stan ..
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