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A railroad cart with a mass of m1 = 14.8 t is at rest at the top of an h = 10.9 m high hump yard hill.
After it is pushed very slowly over the edge, it starts to roll down. At the bottom it hits another cart originally at rest with a mass of m2 = 19.3 t. The bumper mechanism locks the two carts together.
What is the final common speed of the two carts? (Neglect losses due to rolling friction of the carts. The letter t stands for metric ton in the SI system.)
an astronaut is connected to her spacecraft by a 29-m-long tether cord as she and the spacecraft orbit earth in a
Given the electrostatic potential field as a function of position V(x,y,z) = 5x^3 y + 5yz +z^2 , determine the electric field vector E
A proton starts from rest halfway between the two plates of a vacuum-filled parallel-plate capacitor; the plates are 10cm apart. What is the change in kinetic energy of the proton as it moves from its initial position and exits the capacitor
a meterstick is moving by an observer in a direction parallel to its length. the speed of the meterstick is .49c. what
The catapult on an aircraft carrier can take an aircraft from 0 to 192 mph in 12 seconds, at which time the aircraft launches
Four horses are tethered at 4 corners of a square field of side 70 metres so that they just cannot reach one another. What is the area left ungrazed by the horses
Using the periodic boundary condition, ?k(x+L) = ?k(x) and noting that e(i2pn)=1, determine the allowed values of k in terms of L and an integer n. Are negative values of n allowed?
A small 0.80-kg train propelled by a fan engine starts at rest and goes around a circular track with a 0.80-m radius. The fan air exerts a 2.0-N force on the train. Ignore the force friction. Determine the rotational acceleration of the train.
During a certain period of time, the angular position of a swinging door is described by ? = 5.03 + 9.8t + 1.90t2, Determine the angular position, angular speed, and angular acceleration
A spherical hydrogen-filled balloon is used to lift a load of 5705 N (in addition to the weight of the hydrogen). Find the minumum necessary radius for the balloon
A proton is released from rest in a uniform electric field of magnitude 409 N/C. Find the acceleration of the proton and direction
A rocket is fired vertically upward. At the instant it reaches some altitude with a speed of 100 m/s. What is the velocity of the third fragment immediately after the explosion
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