How did shortening the length of the spring affect the resonant frequencies? How does this confirm the relationship v = ? f when velocity is constant? And how musical instruments create higher and lower tones. Use a string instrument as an example.

I can't explain above question well....When the wavelength becomes short, it increases its frequency.

a ray of yellow light crosses the boundary between glass and air, going from glass to air. If the angle of incidence is 30 degrees, what is the angle of refraction

A ball is kicked horizontally with 15 m/s initial speed from a cliff. The ball lands 75 m away from the base of the cliff (R = 75m). What is the height of the cliff? What is the hitting velocity (the velocity of the ball before it hits the ground)? What is the total time of flight?

Two charges of opposite sign and equal magnitude Q = 2.0 C are held 2.0 m apart. Determine the magnitude and direction of the electric field at the point P.

Determine the number of photons with wavelengths between 705 and 713 nm escaping each second from a small opening in a cavity at a temperature of 9000 K. The opening behaves like a blackbody, and has a radius of 2.20 ✕ 10⁻² mm.

---------------- photons/s

Briefly describe how the formation of the following elements occurs in stars. What type of star is needed for the formation of each group of elements?

a) Helium

b) Carbon

c) Oxygen, Neon, and Iron

d) Tin and Uranium

A car travels at 105 km/h on a level road in the positive direction of an x axis. Each tire has a diameter of 63.6 cm. Relative to a woman riding in the car and in unit-vector notation, what are the velocity V at the (a) center, (b) top, and (c) bottom of the tire and the magnitude a of the acceleration at the (d) center, (e) top, and (f) bottom of each tire? Relative to a hitchhiker sitting next to the road and in unit-vector notation, what are the velocity V at the (g) center, (h) top, and (i)bottom of the tire and the magnitude a of the acceleration at the (j) center, (k) top, and (l) bottom of each tire?

A 2.90-kg ball, moving to the right at a velocity of +1.53 m/s on a frictionless table, collides head-on with a stationary 6.20-kg ball. Find the final velocities of (a) the 2.90-kg ball and of (b) the 6.20-kg ball if the collision is elastic. (c) Find the magnitude and direction of the final velocity of the two balls if the collision is completely inelastic.

#2a.Three point charges are located in the x-y plane. q1 = -42.6 nC at (0.00, +3.60 cm), q2 = +45.4 nC at (-6.80 cm, 0.00) and q3 = -28.4 nC at (+8.20 cm, -9.40 cm). Determine the x component of the net electric field at the origin (0.00 m, 0.00m), due to the charges. Give your answer in the form "[+/-a.bc x 10^(x) N/C]i". Note that i is the unit vector in the x direction.

#2b. Determine the y component of the electric field at the origin. Give your answer in the form "[+/-a.bc x 10^(x) N/C]j" where j is the unit vector along the y axis.

#2c. Determine the magnitude of the net electric field at the origin. Give your answer in the form "a.bc x 10^(x) N/C".

#2d. Determine the angle of the net electric field at the origin. Use the +Y axis as your reference direction and move counter-clockwise. Give your answer to the nearest degree in the form "bc.d" degrees.

A uniform magnetic field exerts a force on a moving charge which is equal to the charge times the vector product of the velocity and the magnetic field. Can this force change the magnitude of the velocity of the charge? Explain. Can both uniform electric and magnetic fields exist (for non-zero fields) where the net force on a charge is zero? If so, what are the constraints on the fields? If not, why not?

A block of mass m₁ =2.00 kg and a block of massm₂ = 6.00 kg areconnected by a massless string over a pulley in the shape of asolid disk having radius R = 0.250 m and mass M =10.0 kg. These blocks are allowed to move on a fixed block-wedge ofangle ? = 30.0

A 0.158 kg toy is undergoing SHM on the end of a horizontal spring with force constant 310 N/m . When the object is 1.50×10⁻² m from its equilibrium position, it is observed to have a speed of 0.320 m/s .

A: Find the total energy of the object at any point in its motion.

B: Find the amplitude of the motion.

C: Find the maximum speed attained by the object during its motion.

A solid cylinder (radius = 0.190 m, height = 0.190 m) has a mass of 21.4 kg. This cylinder is floating in water. Then oil (ρ = 867 kg/m3) is poured on top of the water until the situation shown in the drawing results. How much of the height of the cylinder is in the oil?