A0.520-kg object attached to a spring with a force constant of 8.00 n/m vibrates in simple harmonic motion with an amplitude of 10.8 cm.

(a) calculate the maximum value of its speed.

(b) calculate the maximum value of its acceleration.

(c) calculate the value of its speed when the object is 6.80 cm from the equilibrium position. cm/s

(d) calculate the value of its acceleration when the object is 6.80 cm from the equilibrium position. cm/s2

e) calculate the time interval required for the object to move from x = 0 to x = 2.80 cm.

The focal length of a relaxed human eye is approximately 1.7 cm. when we focus our eyes on a close up object, we can change the refractive power of the eye by about 16 diopters. (a) does the refractive power of our eyes increase or decrease by 16 diopters when we focus closely? explain. (b) calculate the focal length of the eye when we focus closely.

Iron is a transition metal with multiple oxidation numbers. (answer the following) a. what is the iron (ii) ion? how does it differ from the iron (iii) ion? b. if iron were to bond with oxygen, predict the formula for each oxidation number of iron. c. how would each formula be named?

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j