An 18 mm wide diffraction grating has rulings of 820 lines per mm. light is incident normally on the grating. monochromatic light of 446 nm wavelength is used. the largest angle from the normal at which an intensity maximum is formed is closest to:

a. 43°
b. 47°
c. 41°
d. 39°
e. 45°

To a of 4 x hz is 1. 0. mm nm nm

Ahot-air balloon takes off from the ground traveling vertically with a constant upward acceleration of magnitude g/4. after time interval δt, a crew member releases a ballast sandbag from the basket attached to the balloon. how many seconds does it take the sandbag to reach the ground? (express your answer in terms of δt)

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?