An object on the end of a spring is oscillating in simple harmonic motion given by: x(t) = (5.0 cm) cos((2.0 rad/s)t + 0.7 rad). What is the maximum speed of this mass, and where in the motion does this occur? 10 cm/s, happens when it is passing through equilibrium. 2.0 cm/s, happens when it is at its maximum displacement from equilibrium. O 2.5 cm/s, happens when it is at its maximum displacement from equilibrium. O 2.0 cm/s, happens when it is passing through equilibrium. 10 cm/s, happens when it is at its maximum displacement from equilibrium.

The graph shows the x-displacement as a function of time for a particular object undergoing simple harmonic motion. This function can be described by the following formula:x(t) = Acos(ωt+φ)where x and A are measured in meters, t is measured in seconds, ω is measured in 1/s and φ is measured in radians. A=2.90m, T=4.00s, ω=1.57 1/s, f=2.50*10^-1 Hz Determine the phase constant i.e. find the smallest positive value for φ.

Astronauts in space cannot weigh themselves by standing on a bathroom scale. Instead, they determine their mass by oscillating on a large spring. Suppose an astronaut attaches one end of a large spring to her belt and the other end to a hook on the wall of the space capsule. A fellow astronaut then pulls her away from the wall and releases her. The spring's length as a function of time is shown in the figure (Figure 1). Figure L (m) W 1.4 1.2- 1.0 0.8 0.6 0.4 0.2 0.0 T 3 1 of 1 -t (s) What is her mass if the spring constant is 270 N/m ? Express your answer with the appropriate units. m = 62 kg Submit Part B Correct V = What is her speed when the spring's length is 0.70 m ? Express your answer with the appropriate units. 0.81 Previous Answers Submit Provido Foodbook ΠΑ m sec Previous Answers Request Answer ?

A09. The displacement of a body moving with simple harmonic motion is given by the equation y = A sin(2t + ½T) After one-quarter of a period has elapsed since t= 0, which of the following statements is сorrect? A) Half the total energy of the body is kinetic energy and half is potential energy. B) The kinetic energy is a maximum. C) The potential energy is a maximum. D) The total energy is a negative maximum. E) Both kinetic and potential energies are maxima.

Astronauts on a distant planet set up a simple pendulum of length 1.20 m. The pendulum executes simple harmonic motion and makes 100 complete oscillations in 280 s. What is the magnitude of the acceleration due to gravity on this planet?

Assume you have a spring with an elastic constant of 85 N/m, and want it to oscillate once every 0.45 seconds. What mass would you need to attach to the spring?