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A girl is skipping stones across a lake. One of the stones accidentally ricochets off a toy boat that is initially at rest in the water (see the drawing below). The 0.082-kg stone strikes the boat at a velocity of 15 m/s, 15° below due east, and ricochets off at a velocity of 8 m/s, 12° above due east. After being struck by the stone, the boat's velocity is 1.9 m/s, due east. What is the mass of the boat? Assume the water offers no resistance to the boat's motion.
What is the period of oscillation of the scale? State your reply numerically in seconds.
A thin film with index of refraction n = 1.29 is placed in one arm of a Michelson interferometer, perpendicular to the optical path. If this causes a shift of 8.0 bright fringes of the pattern produced by light of wavelength 693nm, what is the film t..
The sun's mass is 1.99 x 10^30 kg, the earth's mass is 5.98 x 10^24 kg, and the moon's mass is 7.36 x 10^22 kg. The average distance between the moon and the earth is 3.82 x 10^8 m, and the average distance between the earth and the sun is 1.50 x ..
Use the simulation in the cannon interactive in this section to answer the following questions. (a) Does cannonball's horizontal velocity change as it moves through the air? (b) Does its vertical velocity change? (c) If you enhance the cannonball's h..
What will be the total horizontal distance traveled by the ball? What is the velocity of the ball (magnitude and direction) the instant before it hits the ground? That is what is its i-component? What is its j-component?
A 1.50 multiplied by 103kg car starts from rest and accelerates uniformly to 18.50m/s in 13s. Assume that air resistance remains constant at 400N during this time.
A 67.3 kg sled starts at rest on a horizontal road. The coefficient of kinetic friction between the sled and the road is μk = 0.202. A man pulls the sled a distance 5.07 m along the ground by exerting a constant force of magnitude 532 N on a rope tha..
A board is 6 meters long. The center of mass is in the 2 meters from the left end. The board has a weight of 320 Newton's. How much force in Newtons is necessary to lift the right end while the other end stays on the ground.
What was the initial negative charge on one of the spheres, and what was the initial positive charge on the other? (Hint: Use charge conservation and solve for one of the initial charges. You would end up with a quadratic equation. The solutions g..
A +3.07 nC point charge is placed at one corner of a square (1.90 m on a side), and a -6.51 nC charge is placed on the corner diagonally opposite. What is the magnitude of the electric field at either of the other two corners?
Two identical metallic blocks are connected by a light spring having the spring constant 100 N/m and an unstretched length of .30 m. A total charge Q is slowly placed on the system, causing the spring to stretch to an equilibrium length of .40 m. ..
Construct a point charge configuration with three charges where there is a point (not at infinity) where the electric field is zero.
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