A diverging mirror has a focal length of f = 300 mm .

A) Calculate the image distance for an object located halfway between the focal point and the mirror. Express your answer with the appropriate units. Follow the sign convention.

B) Calculate the magnification for an object located halfway between the focal point and the mirror. Express your answer using three significant digits. Follow the sign convention.

C) Calculate the image distance for an object located at the focal point. Express your answer with the appropriate units. Follow the sign convention.

D) Calculate the magnification for an object located at the focal point.

E) Calculate the image distance for an object located halfway between the focal point and the center of curvature. Express your answer with the appropriate units. Follow the sign convention.

F) Calculate the magnification for an object located halfway between the focal point and the center of curvature.

G) Calculate the image distance for an object located at the center of curvature. Express your answer with the appropriate units. Follow the sign convention.

H) Calculate the magnification for an object located at the center of curvature. Express your answer using three significant digits. Follow the sign convention.

I) Calculate the image distance for an object located a distance f beyond the center of curvature. Express your answer with the appropriate units. Follow the sign convention.

J)  Calculate the magnification for an object located a distance f beyond the center of curvature.

K) Calculate the image distance for an object located at infinity. Express your answer with the appropriate units. Follow the sign convention.

L) Calculate the magnification for an object located at infinity.

Over the course of a multi-stage 4120-km bicycle race, the front wheel of an athlete's bicycle makes 1.69x10⁶ revolutions. How many revolutions would the wheel have made during the race if its radius had been 1.2 cm larger?

At a certain location, electromagnetic wave 1 is measured to have an average electric field of Eav = 152 N/C, and electromagnetic wave 2 is measured to have an average magnetic field of Bav = 0.87 µT.

a. (5 points) Calculate the average intensity of each wave.

b. (5 points) If the electromagnetic waves are being measured 0.54 m from their light sources (assume that they are emitting light uniformly in all directions), what average power is each source emitting? By how many 60 W incandescent light bulbs would each light source need to be replaced to emit the same average power?

c. (5 points) Suppose an average human sun bathes in the light from wave 2 for 45 minutes. If we assume that this person exposes 0.45 m 2 of their skin to this light and that none of the light is reflected by the skin, how much energy is absorbed into their skin? If you could somehow utilize this energy to lift a 70. kg person on the surface of the Earth, how high could the person be lifted?

d. (5 points) Assume that both light waves are initially unpolarized. We decide to send the higher intensity light wave through a polarizer-analyzer combination so that its final intensity matches that of the lower (unpolarized) intensity light wave. If the transmission axis of the first polarizer is horizontal, how must the transmission axis of the analyzer be oriented so that the light intensities match? Express your angle as measured from the vertical axis

A 215 g object is attached to a spring that has a force constant of 72.5 N/m. The object is pulled 7.75

cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table.

Calculate the maximum speed of the object.

maximum speed:

m/s

Find the locations of the object when its velocity is one-third of the maximum speed. Treat the equilibrium position as zero, positions to the right as positive, and positions to the left as negative.

position:

cm

position:

cm

Jae throws an object with a certain velocity and a certain angle with respect to the horizontal direction. Calculate the angle at which the horizontal displacement of the object is going to be maximum, ignoring air resistance. Calculate the angle at which the horizontal displacement of the object is going to be half of the maximum. You may need to think about using the velocity equation first, estimate the time it takes to get to the highest position in terms of variables, write the position equations in terms of what you got from the velocity equation.

In a series oscillating RLC circuit, R=16.0Ω, C=1.2μF,L=.20mH, and ε=εmsinωdt with εm=45.0Vandωd=3000rad/s. For time t=0.442ms find (a) the ratePg at which energy is being suppliedby the generator, (b) the rate Pc atwhich the energy in the capacitor is changing, and (d) the rate PRat which energy is being dissipated in the resistor.

In what way do sports implements give an advantage?

a)Explain the pattern followed by a body undergoing strain, including the elastic region, the elastic limit, plastic deformation, and failure

b) List and explain briefly six different stresses, and give an example of each

Equal charges, q, are placed at the vertices of a hexagon from infinity. What is the work done to accomplish this?

please help!!

Explain why spectral lines are useful in determining the chemical composition of their source.

Question 9

One of the key early tests of Einstein's General Theory of Relativity was

the bending of the path of starlight and resulting apparent shift in the position of stars because of the Sun's mass.

sending a twin in a spaceship to the nearest star and back at a high Lorentz factor.

the Michelson-Morley experiment.

measuring the time dilation effect from gas falling into a black hole.

Question 10

According to General Relativity,

Group of answer choices

you can think of space as "flowing in" towards massive objects.

space-time has curvature.

time runs fastest far away from massive objects.

the path of light is bent when photons move through curved space.

All of these choices are correct.

None of these choices is correct.

Question 11

You are in a rocket ship deep in space and are about to pass a fellow traveler going the opposite direction at 99.9% the speed of light. You think her clock is _________ than yours and she thinks that your clock is __________ than hers.

faster; faster

faster; slower

slower; slower

slower; faster

Question 12

By observing a _____________ in 1919, astronomers were able to test the prediction that a massive object bends the path taken by light.

Group of answer choices

transit of the planet Mercury across the Sun

transit of the planet Venus across the Sun

supernova

total solar eclipse

total lunar eclipse

Question 13

The twin paradox is

a hypothetical experiment that demonstrates that special relativity is wrong

a hypothetical situation that seemingly presents a paradox but is actually resolved by a clearer understanding of the situation

a real experiment that demonstrates that special relativity is wrong

a real experiment that is consistent with the predictions made by special relativity

Question 14

Within special relativity, time dilation refers to ...

the slowing of the passage of time due to motion near the speed of light.

the speeding up of the passage of time due to motion near the speed of light.

the gradual slowing of the rotation of pulsars.

the Doppler shift of light.

Question 15

The alteration of our perception of space and time due to motion near the speed of light is described by

Group of answer choices

special relativity

general relativity

Newton's laws of motion

Galileo's law of inertia

Question 16

The curving of space by a massive object is described by which theory?

Group of answer choices

special relativity

general relativity

Newton's laws of motion

Galileo's law of inertia

You are measuring the distance between the 6th and 2nd levels of the hydrogen atom while it is passing you at 99.99% of c. ​

A) What will this distance appear to be in the direction perpendicular to the traveling speed. ​

B) What will this distance appear to be in the direction parallel to the traveling speed.​

Europa, a satellite of Jupiter, appears to have an ocean beneath its icy surface. Proposals have been made to send a robotic submarine to Europa to see if there might be life there. There is no atmosphere on Europa, and we shall assume that the surface ice is thin enough that we can ignore its weight and that the oceans are fresh water having the same density as on the earth. The mass and diameter of Europa have been measured to be 4.78×1022 kg and 3130 km , respectively

If the submarine intends to submerge to a depth of 70.0 m , what pressure must it be designed to withstand?

If you wanted to test this submarine before sending it to Europa, how deep would it have to go in our oceans to experience the same gauge pressure on Earth as the pressure at a depth of 70.0 m on Europa?

A child pulls on a wagon of mass 47 kg at an angle 33 degrees above the horizontal with a force of F. If the wagon accelerates at 3.7 m/s2 horizontally, what is the magnitude of the force F (in unit of N)? Assume there is coefficient of friction is 0.33, and please use g = 10 m/s2 to simplify computation.

A 4.0-kg block is on an incline plane of 30 degrees angle with respect to horizontal. a)What is the minimum coefficient of static friction (μ_s)_min is need to prevent it from sliding down? b) If the surface μ_s is 0.30, less than (μ_s)_min now, how much force(F) is needed to apply to the block horizontally to prevent it from sliding down?c) If F is doubled, what’s the acceleration of the block up the incline? Assume the coefficient of kinetic friction is 0.25.