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A highway is to be built between two towns, one of which lies 36.0 km south and 88.0 km west of the other. What is the shortest length of highway that can be built between the two towns, and at what angle would this highway be directed? length km angle ° south of west Please show all work.
A charge of -3.65 nC and a charge of -6.70 nC are divorced by a distance of 70.0 cm. Find the position at which a third charge of +7.30 nC can be placed so that the net electrostatic force on it is zero.
A space vehicle is orbiting Earth in the circular orbit with a radius of 10,300,000 m. What is the minimum increase in speed that is essential for the vehicle to escape Earth's gravitational field? The mass of Earth is 5.97 x 10^24 kg and G = 6.67 X ..
How much charge passes during the starter motor
A 10.5 kg uniform board is wedged into a corner and held by a string at a 50 degree angle. Determine the tension in the string. Hint: take torques about the corner and assume any length for the board.
A cube of ice is taken from the freezer at -8.0°C and placed in a 97 g aluminium calorimeter filled with 286 g of water at room temperature of 20°C. The final situation is observed to be all water at 19°C. What was the mass of the ice cube.
A man pushes on a piano with mass 200 {rm kg} so that it slides at constant velocity down a ramp that is inclined at 18.3^circ above the horizontal floor. Ignore any friction acting on the piano.
A note played on a piano is 4719 Hz. If the speed of sound is 347 m/s, what is the wavelength of the note?
What is coefficient of friction between chair and floor
A 1500 {rm kg} wrecking ball hangs from a 20 {rm m} long cable. The ball is pulled back until the cable makes the angle of 17.0^circ with vertical.
When the space shuttle (mass of the shuttle=2*10^6kg) was at the outer limit of Earth's atmosphere (distance= 350km above Earth's surface), astronauts measured the gravitational force from Earth to be equal to 1.7*10^7 newtons. Find the gravitatio..
The average temperature in Gunnison for the first two months of the year are: 1) January (31 days) 10°F 2) February (28 days) 15° F. What are the total number of degree days for Gunnison over these two months?
A girl sits fixed on a merry-go-round of mass M = 500 kg and radius R = 2 m. The merry-go-round is at first at rest and is free to rotate without friction.
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