40. The position of a 300.0 g mass attached to a certain spring is given by x = 0.20 sin(5.0t), where x is in meters and t is in seconds. (To graph or calculate use radian mode.) The 5.0 in the equation represents the “angular frequency” and, with units, is: ω = 5.0 radians/second. (Angular frequency satisfies either of these equations: ω = 2πf or ω = 2π/T.) (a) Determine the spring constant k. (b) Determine the maximum amount of force acting on the 300 g mass. (c) Determine a new position function if the original mass is replaced by a 600.0 g object (attached to the same spring) and released from a position of x = 0.30 m at t = 0.0. (Hint: using a cosine function is convenient this time.)

Part A) Find the period of the second hand of a wall clock. Express your answer in seconds to three significant figures.   Part B) Find the frequency of the second hand of a wall clock. Express your answer in hertz to three significant figures.   Part C)  Find the angular frequency of the second hand of a wall clock. Express your answer in radians per second to three significant figures.   Part D)  Find the period of the minute hand of a wall clock. Express your answer in seconds to three significant figures.   Part E) Find the frequency of the minute hand of a wall clock. Express your answer in hertz to three significant figures.   Part F) Find the angular frequency of the minute hand of a wall clock. Express your answer in radians per second to three significant figures.

Write down the expression for period of a pendulum of length I and the gravitational field strength g. Please use Il * II for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. For square root and power please use sqrt(A*B) and (A*B)^2. Please use the "Display response" button to check you entered the answer you expect. T=

Using the result of the previous question, find the value of l1, if it is given that the first pendulum swings back and forth 10 times per minute, while the second one swings back and forth 300 times per hour and l2 is 2.6 m. Give your answer in SI units. Answer: Choose... +