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A river flows due east at 1.56 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 10.9 m/s due north relative to the water. If the river is 362 m wide, how far downstream is the boat when it reaches the north shore?
An object is placed two focal lengths from a diverging lens. What is the magnification and location of the image.
The car encounters a loop of radius R = 18 m at ground level. As you will learn in the course of this problem, the initial height 54.00 m is great enough so that the car never loses contact with the track.
Imagine two 5.0 g bags of protons, one at the earth's north pole and the other at the south pole. Calculate the electrical repulsion that each bag exerts on the other.
find the mass of Earth from the period T and the radius r of the Moon's orbit about the Earth. T=27.3 days and r=3.82E5 km. suppose the Moon orbits the center of Earth rather than the center of mass of the Earth-Moon system.
An electron (charge -e) is projected horizontally into the space between two oppositely charged parallel plates. The electric field between the plates is 462N/C upward.
Compute the distance of two point's p1 and p2 in the x-y plane with the following Cartesian coordinates: p1= (-5m, +8m), p2= (+3m, +2m). Draw the position vectors into appropriate-points.
A 150 g aluminum cup contains 150 g of water and both are at 13 C. If you add 150 g of hot water at 90 C what is the final temperature at thermal equilibrium? How much hot water at 90 C needs to be added to achieve a final temperature of 44 C?
A 73 trampoline artist jumps vertically upward from the top of a platform with a speed of 4.0. If the trampoline behaves like a spring of spring constant 6.2×104, how far does he depress it.
AIlya and Anya each can run at the speed of 8.20 and walk at a speed of 4.00. They set off together on a route of length 5. 0. Anya walks half of the distance and runs the other half, while AIlya walks half of the time and runs the other half.
Compute the force of tension or compression
In a head-on collision, the car stops in 0.279 from a speed of 16. The driver has a mass of 68, and is, fortunately, tightly strapped into his seat. What force is applied to the driver by his seat belt during that fraction of a second.
Bruce stands on a bank beside a pond, grasps the end of a 10.00-m long rope attached to a nearby tree and swings out to drop into the water. If the rope starts at an angle of 36° with the vertical, what is Bruce's speed at the bottom of swing.
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