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Astronauts on the space shuttle used radar to determine the magnitudes and direction cosines of the position vectors of two satellites A and B. The vector rA from the shuttle to satellite A has magnitude 2 km and direction cosines cos?x = 0.768, cos?y = 0.384, and cos?z = 0.512. The vector rB from the shuttle to satellite B has magnitude 4 km and direction cosines cos?x = 0.743, cos?y = 0.557, and cos?z = -0.371. What is the angle between the two vectors rA and rB?
Calculate the angle between the lines (in degrees). Use the angle in the +y direction from the crossing point. (All distances are in meters.)
In the 1994 movie Speed, a bus wired with explosives must maintain a speed of 50mph or the bus will explode. what is the minimum launch angle required for the jump to be successful
a dog is walking slowly toward a motion detector. Draw a position graph that could represent this motion. Show your work.
A strip of doped silicon 325 µm wide contains 9.6 1022 conduction electrons per cubic meter and an insignificant number of holes, What is the thickness of the strip
A bat hits a moving baseball. If the bat delivers a net eastward impulse of 1.3 N-s and the ball starts with an initial horizontal velocity of 3.8 m/s to the west and leaves with a 5.1 m/s velocity to the east
Lead has a latent heat of fusion of 2.32x104 J/kg, a specific heat of 128 J/(kg K), and a melting point of 228°C. Calculate heat needed to melt the bullet
An AC generator supplies an rms voltage of 240 V at 60.0 Hz. It is connected in series with a 0.450 H inductor, a 3.90 ?F capacitor and a 316 ? resistor. What is the peak voltage across the inductor
When yellow sodium light, ?=589nm, falls on a diffraction grating, its first-order peak on a screen 55.0cm away falls 3.29cm from the central peak. What is the wavelength of the new source
A simple pendulum has a length L and a mass m. At its highest point, the pendulum mass is 0.25L above its lowest point. What is the speed of mass when it is at its lowest point
A vertical spring with a spring steady of 420-N/m is mounted on the floor. From directly above the spring, which is unstrained, a 0.30 kg block is dropped from rest.
What was the velocity of the bullet just before it struck the wooden block? The length of the string is 2 meters.
The projectile remains in flight for 6 seconds and travels a horizontal distance D of 155m. Calculate the speed at which the rock was launched
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