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Show that the minimum stopping distance for and automobile traveling at speed v is equal to v2/2µsg, where µs is the coefficient of static friction between the tires and the road, and g
During an Olympic bobsled run, the Jamaican team makes a turn of radius 7.6 m at a speed of 96.6 km/h. What is their acceleration in terms of g?
An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use the fact that the density of water is 1000 kg/m)
A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 24 ft/s.
15 swallows flew 380 miles south to escape the cold. After resting for a day they flew another 800 miles towards the coast. How many miles did each swallow fly? How many did they fly altogether?
A worker pushes horizontally on a 35 kg crate with a force of magnitude 110 N. The coefficient of static friction between the crate and the floor is 0.37.
Pittsburgh, Pennsylvania and Miami, Florida lie approx. on the same meridian. Pittsburgh has a latitude of 40.5 degrees North and Miami has latituded of 25.5 degrees North. Find the distance between
Question: A ball is tossed so that it bounces off the ground, rises to a height of 1.30 m, and then hits the ground again 1.70 m away from the first bounce. A) How long is the ball in the air betwee
What is the angle of the velocity vector with respect to the ground right after the first bounce?
Find (a) the acceleration of the puck, (b) the speed of the puck after the 1.10 s, (c) the horizontal distance from the table edge to where the puck impacts the deck.
Light containing wavelengths of 400 nm, 500 nm, and 650 nm is incident from air on a block of crown glass at an angle of 25.0°. Calculate the angle of refraction in each case to verify your answer
Once ignited a small rocket motor on a space craft exerts a constant force of 10 N for 7.80 s. During the burn the rocket causes the 100-kg craft to accelerate uniformly. Determine that acceleration
Assuming the final temperature of the horseshoe plus water plus steam is 100°C (_ 373 K), how much of the water is converted into steam?
What must the minimum muzzle velocity of the dart have been for the hunter to hit the monkey before it reached the ground?
Two subway stops are separated by 1100 m. If a subway train accelerates at + 1.2m/s2 from rest through the first half of the distance and decelerates at - 1.2m/s2 through the second half, what are (a)
A ball has fallen to the street below, and a passerby returns it by launching it at an angle of 53.0° above the horizontal at a point 24.0 meters from the base of the building wall. The ball ta
Write a quadratic function in vertex form that describes the shape of the outside of the arc, where y is the height of a point on the arc and x is its horizontal distance from the left hand starting
A space station is shaped like a ring and rotates to simulate gravity. If the radius of the space station is 120 m, at what frequency must it rotate so that it simulates Earth's gravity? [Hint: The
If equal and opposite charges Q were placed on the Earth and the Moon, what should be the value of Q to maintain the present orbit? Use these data; mass of Earth = 5.98 X 1024 kg, mass of Moon = 7.3
Assume that Rayleigh's criterion gives the limit of resolution of an astronaut's eye looking down on Earth's surface from a typical space shuttle altitude of 400 km.
A mass spectrometer is used to examine the isotopes of uranium. Ions in the beam emerge from the velocity selector at a speed of 3.00 x 105 m/s and enter a uniform magnetic field of 0.600 T directed
If weight in the general population is normally distributed with an average of 160 and a standard deviation of 20 pounds, what is the probability of selecting someone who weights 120 or less or 170
Mr. Gomez decreased the speed of his car by 30 miles per hour over a period of 10 seconds. Find the average change in speed each second.
A certain radioactive (parent) nucleus transforms to a different (daughter) nucleus by emitting an electron and a neutrino. The parent nucleus was at rest at the origin of an xy coordinate system.
At the surface of the ocean, the water pressure is the same as the air pressure above the water, 15 lb/in2. Below the surface, the water pressure increases by 4.34 lb/in2 for every 10 ft of descent. (