If a mass attached to a spring is raised xo ft and given an initial veritical velocity of vo ft/sec, then the position x of the mass for time t in seconds and a positive constant w is given by x x0 cos(wt ) +sin(wt). suppose 3, xo = 5 ft, and vo = 10 ft/sec. use the reduction formula to write x in the form r sin(wt + 6). give & in radians rounded to the nearest thousandth. find the amplitude and frequency of the spring's oscillation. b. suppose and xo remain constant, and vo 8 ft/sec. use the reduction formula to write x in the form r sin(wt +8). give & in radians rounded to the nearest thousandth. find the amplitude and frequency of the spring's a. oscillation. c. discuss the effects on amplitude and frequency if vo is more than 10 ft/sec. justify your analysis using parts a and b. use complete sentences and correct grammar to discuss your answer and reasoning.

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

answer; how far out of place which the object finished relative to the starting location;

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft