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A particle undergoes two displacements. The first has a magnitude of 128 cm and makes an angle of 113 degrees with the positive x axis. The resultant displacement has a magnitude of 180 cm and is directed at an angle of 39 degrees to the positive x axis. Find the magnitude of the second displacement. Answer in units of cm. And find the direction of the second displacement (with positive measured from counter clock-wise from the x axis, and between the limits of -180 degrees and 180 degrees). Answer in degrees.
A highway is to be built between two towns, one of which lies 44.0 km south and 71.0 km west of the other. at what angle would this highway be directed
The mass of hot-air balloon and its occupants is 320 kg (excluding the hot air inside the balloon). To what temperature (in K) must the air be heated so that the balloon just lift off? The molecular mass of the air is 29 u
Another particle, of mass 7.4 10-27 kg, moves along the positive x-axis with a speed of 4.0 106 m/s. (Assume that mass is conserved.) Evaluate the third particle's speed. What is the direction of motion?
To appreciate the strength of gravity, calculate the number of steel cables that would be required in the absence of gravity to hold the moon in orbit about the earth.
A gold prospector finds a solid rock that is composed solely of quartz and gold. The mass and volume of the rock are, respectively, 13.1 kg and 2.08 × 10-3 m3, Find the mass of the gold in the rock
A student sits on a swivel seat. Initially the student is at rest, holding a spinning bicycle wheel that has an angular velocity of 10.5 rad/s, Find the student's final angular velocity
A lump of clay of mass 0.30 kg is thrown straight at a brick wall with a speed of 22 m/s. What is the average force on the wall (in N) during this collision
A dad pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 16rpm in 10.0s. What force is required at the edge
A positively charged rubber rod is moved close to a neutral copper ball that is resting on a nonconductin sheet of plastic. (a) Show how the charges are arranged on these spheres if they are very far from each other.
A 0.49 kg mass at the end of a spring vibrates 9.0 times per second with an amplitude of 0.20 m. Determine the total energy of the system
the axes of two polarizers make a 71.3 deg angle to one another. what fraction of the light intensity is transmitted
a spring with constant k 800 nm is compressed 12 cm from its equilibrium position. a spring with spring constant k
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