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Consider a positive charge q that is released from rest at the origin in the orthogonal uniform electric and magnetic fields E = E yˆ and B = B zˆ.(i) Determine the full trajectory, i.e. x(t) and y(t), and show that the trajectory is a cycloid curve.(ii) What is the average velocity in the x and the y-direction?(iii) Plot the kinetic energy as a function of time.
An airplane with a speed of 76.6 m/s is climbing upward at an angle of 49.5 ° with respect to the horizontal, Relative to the ground, determine the angle of the velocity vector of the package just before impact
A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne 193-kg laser sensor which measures the thickness of the ice, find the tension in the cable towing the sensor
One fish leaps with an initial velocity at the water surface of 12.5m/s at an angle of 33.0 degrees above the horizontal
A cylinder contains 2.25 mol of helium gas at 21.0°C. Assume that the helium behaves like an ideal gas. What is the average kinetic energy per molecule
In San Francisco a very simple technique is used to turn around a cable car when it reaches the end of its route. The car rolls onto a turntable, what is the magnitude of the net torque applied to the car
A 1000-kg car is moving at 30.0 m/s around a horizontal curve whose radius is 100 m. What is the magnitude of the frictional force
A 70 kg astronaut floating in space in a 110 kg MMU (manned maneuvering unit) experiences an acceleration of 0.029 m/s2 when he fires one of the MMU's thrusters. What is the thrust of the thruster
The driver of a car wishes to pass a truck that is traveling at a constant speed of 20.9m/s . Initially, the car is also traveling at a speed 20.9m/s and its front bumper is a distance 23.1m behind the truck's rear bumper, What is the final speed ..
A physics book slides off a horizontal tabletop with a speed of 2.70{\rm m}/{\rm s} . It strikes the floor in 0.350{\rm s} . Ignore air resistance. Find the height of the tabletop above the floor
A converging lens with a focal length of 7.00cm forms an image of a 3.80mm -tall real object that is to the left of the lens. Where are the object and image located
A solid cylinder of mass 10 kg is pivoted about a frictionless axis thought the center O. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest
A rope exerts a constant horizontal force of 250N to pull a 60 Kg crate across the floor.
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