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You stand on the shore of a small river that measure 10 meters across. You take your cat and throw it into the middle of the stream. You know your cat can swim very well with 0.2 m/s and that it will come directly back to you. But the river is flowing to the right with 0.1 m/s, so the cat has to compensate for that, to swim to you in a straight line.
How long did it take the cat to reach you?
If you would try this experiment a second time, the cat probably would decide not to come back to you, but instead directly swim to the other shore. How long would the cat need at least to reach the other shore?
You launch a 5kg ball from a height of 1 meter. Find the speed of the ball and its kinetic energy at the top of its trajectory, find the velocity and speed of the ball when it reaches the ground
A car moving at 37 m/s approaches a stationary whistle that emits 270 Hz sound. The speed of sound is 347 m/s. What is the frequency of sound heard by the driver of the car.
A lake is 28.3 meters deep at its deepest point. The density of water in the lake is 1000 kg/m^3. what is the absolute pressure at the bottom of the lake
A thin film of alcohol (n=1.36) lies on a flat glass plate (n=1.51). When monochromatic light is incident normally on the system, What is the thickness of the film
A layer of oil, with a refractive index of 1.40798, 0.97483 mm thick, How many wavelengths are contained in the light wave passing back and forth through the oil
Coherent light with wavelength 592 nm passes through two very narrow slits, and interference pattern is observed on the screen a distance of 3.00 {rm m} from the slits. The first-order bright fringe is the distance of 4.84 {rm mm} from the center o..
A chain consisting of five links, each of mass 0.200 kg, is lifted vertically with a constant acceleration of a = 2.7 m/s2. Find out the magnitude of the force that link 3 exerts on link 2.
An 9.00-cm-diameter, 330g solid sphere is released from rest at the top of a 1.70-m-long, 20.0? incline. What is the sphere's angular velocity at the bottom of the incline
Consider a merry-go-round that has the form of a disc with radius 5.4 m and mass 160 kg. If five children, what is the total moment of inertia
A particle is launched in a gravitational field (g) with an initial velocity of v nought at an angle of theta with respect to the horizontal, Write down the equations for displacements along x- and along the y- axis as a function of time (t)
An 8m, 200 N uniform ladder rests against a smooth wall. The coefficient of static friction between the ladder and the ground is 0.55, and ladder makes a 50.0° angle with the ground. How far up the ladder can an 800 N person climb before the ladde..
A 3000 kg lunar lander is in orbit 50 km above the surface of the moon. how much work must the thrusters do
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