A system consists of a 2.0kg mass hanging from a vertical spring that has a spring constant of 8.0N/m. The system is displaced 20.0cm and continues to vibrate with no damping (meaning that there are no losses so the system oscillates forever).
a. Determine the period of oscillation.
b. Sketch a graph of two complete oscillations of the system as a
displacement-time graph.
c. On the graph, indicate where the maximum velocity and acceleration
will occur.
d. Calculate the maximum values for:
i. Spring force
ii. Acceleration of the mass
iii. Velocity of the mass
Formula: x = x0 + v0t + ½ at2
Formula: v2 = 2ax
Formula: v2 = 2ax
Formula: v2 = 2ax
What is the velocity of a dropped object after it has fallen for 5.0s?
Formula: v = v0 +gt
An arrow is launched straight up with a final velocity of 25.6 m/s. How long before the arrow returned to the ground?
Formula: t = ( v – v0)
g
A book bag is thrown straight up from the ground with an unknown velocity. It reaches its highest point after 6 s. With what initial velocity did it leave the ground? (Equation 4)
Formula: v0 = v -gt
Doug the Talking Dog spots a squirrel. He accelerates from rest with a constant acceleration of 8 m/s2. How far will he have moved after 17s?
Formula: x = x0 + v0t + ½ at2
x = ½ at2
x = ½ (8)(17)2
a) Calculate the image distance. [3 marks]
b) Calculate the image height. [2 marks]
An object 6 cm tall is placed 9 cm in front of a concave mirror that has a focal length of 18cm. Round your answers to 2 decimal places.
What is spin-orbit interaction in atomic? explain.
A lens system is composed of two lenses. Lens A has a refractive power of +9.25 D and lens B has a refractive power of −3.75 D. An object is located 235 mm in front of Lens A. The focused image of the lens system is located exactly 30 cm behind Lens B. The lenses are suspended in air. Calculate the distance between the two lenses. (5 marks)
How does the spin-orbit interaction lead to the observed fine-structure
splitting of the spectral lines of the hydrogen atom?
A small alien species with many tiny eyes is discovered. After analysis, we learn that light is focused on their transparent retina after being reflected off a concave mirror located at the back of their eyes. Assuming the eyes of this species only consist of a concave mirror with a radius of curvature of 420 µm immersed in a medium with a refractive index of 1.492:
a) Calculate the refractive power of the alien eye. (2 marks)
b) Where should the retina be placed to obtain the sharpest possible image for an object located 1.25 mm in front of the mirror? (3 marks)
A small alien species with many tiny eyes is discovered. After analysis, we learn that light is focused on their transparent retina after being reflected off a concave mirror located at the back of their eyes. Assuming the eyes of this species only consist of a concave mirror with a radius of curvature of 420 µm immersed in a medium with a refractive index of 1.492:
a) Calculate the refractive power of the alien eye. (2 marks)