Image goes with question 1 below 1) You perform an experiment where you set diff
ID: 1480085 • Letter: I
Question
Image goes with question 1 below
1) You perform an experiment where you set different masses on a vertically hanging spring and measure the distance the spring sags. The data from the experiment is given in the table below. What is the spring constant based on this data?
A.) 980 N/m
B.) 9.8 N/m
C.) 98 N/m
D.) 0.01 N/m
2) Which is false regarding simple harmonic motion?
A.) It must include an object being at rest initially.
B.) The dynamic variable that is oscillating has a well-defined amplitude.
C.) The oscillation is repetitive in time (aka periodic motion).
D.) The dynamic variable that is oscillating has a well-defined frequency.
3) You pull a 2 kg mass attached to the free end of a horizontal spring out a distance of 4 cm from equilibrium. Suppose that in doing so you put in 145 J of work before letting go of the mass. What is the maximum kinetic energy the mass can acquire during its motion?
A.) 0.392 J
B.) 0.626 J
C.) 145 J
D.) 0 J
4) A mass’s position as it oscillates at the end of a spring is given in the equation below. What is the initial velocity of the mass?
x(t) = (0.92 m)cos[3.14t]
A.) 2.9 m/s
B.) 0.92 m/s
C.) 0 m/s
D.) not enough information to know
Explanation / Answer
1) the formula used is
F= kx
0.1 kg* 9,8= k*0.1 m
=> k= 9,8 N /m
2) A.) It must include an object being at rest initially.
3) elastic potential energy+ kinetic energy= constant
so it by conservation of energy it will aquire the 145 J of kinetic energy when the potential energy becomes 0
so answer is 145
4)x(t) = (0.92 m)cos[3.14t]
velocity = dx /dt= x(t) = -(0.92 m)sin[3.14t]= 0 ( at t = 0 )