Part A: The position of a 40 gg oscillating mass is given by x(t)=(2.0cm)cos(10t)=(2.0cm)cos⁡(10t), where t is in seconds. Determine the velocity at t=0.40s=0.40s. Express your answer in meters per second to two significant figures. Part B: Assume that the oscillating mass described in Part A is attached to a spring. What would the spring constant k of this spring be? Express your answer in newtons per meter to two significant figures.   Part C: What is the total energy E of the mass described in the previous parts? Express your answer in joules to two significant figures.

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Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.