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Q1. On a spacecraft two engines fire for a time of 600s. One gives the craft an acceleration in the x direction of ax = 5.10m/s2, while the other produces an acceleration in y direction of ay = 7.3m/s2. At the end of the firing period, the craft has velocity components of vx = 3565 m/s and vy = 4556 m/s. Find the magnitude and direction of the initial velocity. State the direction as an angle with respect to the +x axis.
Q2. A marble is thrown horizontally with a speed of 19.0 m/s from the top of building. When it strikes the ground, marble has a velocity that makes an angle 75° with the horizontal. From what height above the ground was the marble thrown?
A 346-, uniform, 1.04- bar is suspended horizontally by two vertical cables at each end. Cable A can support a maximum tension of 506.0 without breaking, and cable B can support up to 436.0. You want to place a small weight on this bar. What is the h..
Calculate the period T and the tension in the string F as a function of the angle. Compute the moment of inertia of this system for an axis that passes through the combined center of mass and is perpendicular to the plane of the rings.
The flywheel of an engine has a moment of inertia 2.80 {rm kg} cdot {rm m} ^ {2} about its rotation axis. What is its final kinetic energy.
A bead with a mass of 0.083 g and a charge of 15 nC is free to slide on a vertical rod. At the base of the rod is a fixed 10nC charge. In stability, at what height above the fixed charge does the bead rest.
Change values of the initial position, initial velocity, and the acceleration of the car so that its center follows the same path as the dot. What is the equation that describes motion of the dot.
What is tension in each of the cables
Net horizontal force due to rolling friction
What is the minimum rate of rotation, in revolutions per minute, required for the spheres to contact the cylinder wall?
A rock of mass m = 1.0 kg is tied to a string of length L = 1.9 m and is twirled in a vertical circle. The speed v of the rock is constant; that is, it is the same at the top and the bottom of the circle. If the tension in the string is zero when the..
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 ..
Find the final displacement from the starting point. How much greater was the distance she walked than her displacement.
An 80 g, 35 cm long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 13 g ball of clay travelling horizontally at 2.50 m/s hits and sticks to the very bottom tip of the rod.
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