The E-string on a violin produces a frequency of 660 Hz, and the wavelength of the standing wave on the string is 650 mm, a) Estimate the speed of the travelling wave on the violin

b) If that E-string has a tension of 82.3 N, what is the density of the metal that the string is made of? Assume that the string is perfectly circular, with a radius of 0.27 mm. Density is defined as p = m/V, and the volume of a cyliner is V = πr²L.

The free body diagram shows a box being pulled to the left up a 25-degree incline. the magnitude of the normal force is

Aball is thrown horizontally from a cliff at 8m/s .in what direction is the ball moving 2s later?

The base of a 50-meter tower is at the origin; the base of a 50-meter tree is at (0, 50, 0). the ground is flat and the z-axis points upward. the following parametric equations describe the motion of six projectiles each launched at time t = 0 in seconds. (i) r (t) = (50 + t2)k (ii) r (t) = 2t2 j + 2t2k (iii) r (t) = 50 i + 50 j + (50 − t2)k (iv) r (t) = 2t j + (50 − t2)k (v) r (t) = (50 − 2t) i + 2t j + (50 − t)k (vi) r (t) = t i + t j + tk (a) which projectile is launched from the top of the tower and goes downward? at time t = , the projectile hits the ground at point (x, y, z) = . (b) which projectile hits the top of the tree?