Three discrete spectral lines occur at angles of 10.0°, 13.6°, and 15.0°, respectively, in the first-order spectrum of a diffraction grating spectrometer.
(a) if the grating has 3750 slits/cm, what are the wavelengths of the light?
λ1 = nm (10.0°)
λ2 = nm (13.6°)
λ3 = nm (15.0°)
(b) at what angles are these lines found in the second-order spectra?
θ = ° (λ1)
θ = ° (λ2)
θ = ° (λ3)

Aspecial electronic sensor is embedded in the seat of a car that takes riders around a circular loop-the-loop ride at an amusement park. the sensor measures the magnitude of the normal force that the seat exerts on a rider. the loop-the-loop ride is in the vertical plane and its radius is 23 m. sitting on the seat before the ride starts, a rider is level and stationary, and the electronic sensor reads 740 n. at the top of the loop, the rider is upside down and moving, and the sensor reads 370 n. what is the speed of the rider at the top of the loop?

Ahorizontal wire is tied to supports at each end and vibrates in its second-overtone standing wave. the tension in the wire is 5.00 n, and the node-to-node distance in the standing wave is 6.28 cm. (a) what is the length of the wire? (b) a point at an anti- node of the standing wave on the wire travels from its maximum upward displacement to its maximum downward displacement in 8.40 ms. what is the wire's mass?

Aforklift raises a 1,020 n crate 3.50 m up to a shelf. how much work is done by the forklift on the crate? the forklift does j of work on the crate.