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Q. On a spacecraft two engines fire for a time of 570 s. One gives the craft an acceleration in the x direction of ax = 5.10 m/s2, while the other produces an acceleration in the y direction of ay = 7.30 m/s2. At the end of the firing period, the craft has velocity components of vx = 3900 m/s and vy = 4766 m/s. Find the magnitude and direction of the initial velocity. Express the direction as an angle with respect to the +x axis.
If the far end of the iron rod is in an ice bath at 0°C, find the rate of heat transfer passing from the boiling water to the ice bath. Suppose there is no heat loss to the surrounding air.
A train is travelling up a 4.0 incline at the speed of 3.25 when the last car breaks free and begins to coast without friction. How long does it take for the last car to come to rest momentarily.
What inductance must be connected to a 25 pF capacitor in the oscillator capable of generating 480 nm (i.e., visible) electromagnetic waves.
How much heat energy can created throughout motion
For the Atwood's machine, suppose the masses have an initial speed of v = 0.22 m/s and that m2 is moving upward. How high does m2 rise above its initial position before momentarily coming to rest, given that m1 = 3.5 kg and m2 = 3.1 kg.
What is the frequency of light that has the wavelength in water of 788 nm if the refractive index for this light is 1.33.
write down Newton's Second Law for the velocity of the cube.
A butterfly moves with a speed of v = 12.0 m/s east of North. The y-component of its velocity is 8.00 m/s. The angle between the direction of its motion and the x-axis.
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 1050 kg car carrying four 84 kg people travels over a rough "washboard" dirt road with corrugations 4m apart which causes the car to bounce on its spring suspension. The car bounces with maximum amplitude while its speed is 24km/h. The car now s..
Gillian buys a pendulum clock at a discount store and discovers when she gets it home that it loses minutes each day.
A 47 kg person, standing 0.980 m from the axis, begins to run on the disk in a circular path and has a tangential speed of 3.10 m/s relative to the ground. Find resulting angular speed (in rad/s) of the disk.
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