A 0.01 m jalapeno seed is placed in front of two thin symmetrical coaxial lenses 1 and 2, with focal lengths f₁ = +24 cm and f₂ = +9 cm, respectively, and with lens separation L = 10 cm. The seed is 6 cm from lens 1. Where does the system of two lenses produce an image of the seed? What size does it appear to be? Describe the 3 aspects of the final image.

Can anyone explain all the answers?

1. A roller coaster car is on a track that forms a circular loop in the vertical plane.  Roller coaster car is moving with constant speed. If the car is to just maintain contact with track at the top of the loop, what is the normal force acting on this car at the lowest point of track?
   1. mg
   2. 2mg
   3. 3mg
   4. 0
2. Bucket of water is rotated on the rope in vertical plane. If the length of a rope is increased twice, to prevent water from spilling on the top point of trajectory, how should we change the minimum speed of rotation?

1. We should increase speed twice
2. We should decrease speed twice.
3. We should increase speed 2^1/2times.
4. We should decrease speed 2^1/2 times.
5. We should not change speed at all.

3. A coin is sitting on the edge of rotating turntables. Compare two turntables, A and B. They have the same radius (it means coin sits at the same distance from a center), but different surfaces. We measure the maximum frequency of revolutions for which coin does not slide off the turntables. For turntable A this frequency as twice as big as for turntable B. We can conclude that coefficient of static friction between coin and turntable A is:

1. ½ of coefficient between coin and turntable B
2. the same as for turntable B
3. twice as big as coefficient between coin and turntable B
4. 2^1/2greater than one for turntable B.
5. 4 times greater than for turntable B

4. The gravitational force attractive force between two masses, is F. If the masses are moved to half of their initial distance, what is the gravitational attractive force?
   1. F/4
   2. F/2
   3. 2F
   4. 4F
5. Two massive objects are fixed in their positions. The third object of mass m is placed between these two at the point where gravitational force due to two massive objects is equal 0. The third object is displaced  slightly towards one of massive objects. The total gravitational force on the third object is now:

1. Zero
2. Directed in the direction which depends on which out of two massive objects has greater mass.
3. Directed in the direction of displacement of the third object
4. Directed in the direction opposite to displacement of the third object.
5. Directed perpendicular to displacement of the third object.

An archer standing on a 15 degree slope shoots an arrow at an angle of 23 degrees above the horizontal. How far down the slope does the arrow hit if it is shot with a speed of 44 m/s from a height of 1.78 m above the ground?

subject: Rational equilibrium of Torques

How does the moment of inertia relate to the probability distributions? How do torques add and what is necessary to establish rational equilibrium?

Question 5

You visit the new Chaco Hotel rooftop bar in old town. You're taking pictures of the fabulous views using your new $1,000 phone. Oops! The phone slips out of your hands plummeting to the ground 60 feet below. Ignoring air resistance. how fast is your phone traveling by the time it hits the ground ? [ Hint: 1 meter = 3.28 feet ] ( Circle one answer)

A.) 19mph

B.) 42 mph

C.) 37mph

D.) 602 mph

I am doing test corrections for my physics exam I put C(37mph and that was incorrect. Can you please help with this question very confused about it.

To treat a burn on your hand, you decide to place an ice cube on the burned skin. The mass of the ice cube is 11.3 g, and its initial temperature is -14.4 °C. The water resulting from the melted ice reaches the temperature of your skin, 32.0 °C. How much heat is absorbed by the ice cube and resulting water? Assume that all the water remains in your hand. Answer ______J

Constants may be found here:

PLEASE ANSWER ALL NOT UNDERSTANDING

1.An unsuspecting bird is coasting along in an easterly direction at 3.00 mph when a strong wind from the south imparts a constant acceleration of 0.200 m/s2. If the wind\'s acceleration lasts for 3.20 s, find the magnitude r and direction θ (measured counterclockwise from the easterly direction) of the bird\'s displacement over this time interval. (HINT: assume the bird is originally travelling in the x direction and there are 1609 m in 1 mile.)

Now, assume the same bird is moving along again at 3.00 mph in an easterly direction but this time the acceleration given by the wind is at a 45.0 degree angle to the original direction of motion. If the magnitude of the acceleration is 0.500 m/s2, find the displacement vector , and the angle of the displacement, θ1. Enter the components of the vector and angle below. (Assume the time interval is still 3.20 s.)

2 .Volumetric expansion coefficients of simple materials are often well catalogued. However, the thermal expansion coefficient β of a human body is less well known. This could affect the human body\'s specific gravity and, therefore, measurements of its body/fat ratio. Suppose that a human body of weight w0 (on dry land) is placed on a scale while completely immersed in formaldehyde of temperature T1. Once the temperature increases by ΔT, the scale reading drops by Δw. Derive an expression for β in terms of ΔT, w0, and Δw by assuming that the ratio of the formaldehyde ρf and the initial density of the body ρb is R = ρf /ρb. Assume also that ρf does not change when heated.

If the body weighs 224.3 lb on dry land and his weight reading lowers by 0.237 lb when the formaldehyde is heated from 66.40oF to 88.60oF, calculate the coefficient of volume expansion of the body.* Assume R = 0.720.

* The coefficient β will likely vary widely from one human body to the next. The numerical value computed here should not be considered factual.

3. If 39.5 mol of an ideal gas occupies 89.5 L at 77.00 °C, what is the pressure of the gas?

4. How many moles of gas are in 17.5 L N2 at 25 °C and 125 kPa?

How many moles of gas are in 41.9 L O2 at 25 °C and 125 kPa?

5. A 2250-kg space station orbits Earth at an altitude of 495000 m. Find the magnitude of the force with which the space station attracts Earth. The mass and mean radius of Earth are 5.98 × 1024 kg and 6370000 m, respectively.

A stationary bicycle wheel of radius 0.7 m is mounted in the vertical plane (see figure below). The axle is held up by supports that are not shown, and the wheel is free to rotate on the nearly frictionless axle. The wheel has mass 4.1 kg, all concentrated in the rim (the spokes have negligible mass). A lump of clay with mass 0.5 kg falls and sticks to the outer edge of the wheel at the location shown. Just before the impact the clay has speed 6 m/s, and the wheel is rotating clockwise with angular speed 0.29 rad/s. (Assume +x is to the right, +y is upward, and +z is out of the page. Assume the line connecting the center to the point of impact is at an angle of 45° from the horizontal.)

(a) Just before the impact, what is the angular momentum (magnitude and direction) of the combined system of wheel plus clay about the center C?

(b) Just after the impact, what is the angular momentum (magnitude and direction) of the combined system of wheel plus clay about the center C?

(c) Just after the impact, what is the angular velocity (magnitude and direction) of the wheel?

Three forces are applied to an object, as shown in the figure. F1 Baseline has a magnitude of 24.0 newtons (24.0 N) and is directed 30.0° to the left of the +y axis. F2 has a magnitude of 14.9 N and points along the +x axis. What must be the (a) magnitude and (b) direction (specified by the angle theta in the drawing) of the third force F3 such that the vector sum of the three forces is 0 N?

Water (n=1.33) in a shallow pan is covered by a thin film of oil that is 450 nm thick and has an index of refraction of 1.45. What visible wavelengths will not be present in the reflected light when the pan is illuminated with white light shining from directly above the pan? Please include a diagram and all relevant equations!

Three protons occupy the vertex of an equilateral triangle with each side of 1 cm. Mp= 1.67E-27 kg, qp= 1.6E-19 C.

a) release all three protons from rest, what is the max speed of each proton?

b) Only one proton is released while the other two are fixed. Find the speed of the moving proton after a long time.

could you please explain constructive interference and destructive interference I'm having trouble wrapping my brain around it I'm completely lost. thank you

A car drives straight off the edge of a cliff that is h =52 m high. The police at the scene of the accident note that the point of impact is d =88 m from the base of the cliff. Here the initial speed v0 is unknown. Ignore air resistance. The magnitude of the gravitational acceleration is 9.8 m/s2. Choose the RIGHT as positive x-direction. Choose UPWARD as postitive y-direction. Keep 2 decimal places in all answers

(a) In this problem, even though the initial speed v0 is unknown, you can still find v0y, the y component of the initial velocity. What is v0y (in m/s)?

(b) How long (in seconds) is the car in the air before hitting the ground?

(c) How fast (in m/s) was the car traveling when it leaves the cliff?

(d) What is the vertical component of the velocity (in m/s) just before the car hits the ground? Pay attention to the direction (the sign).

(e) What is the magnitude of the velocity (in m/s) (including both the horizontal and vertical components) of the car just before it hits the ground?

(f) What is the direction of the velocity of the car just before it hits the ground? Report the direction by an angle COUNTERCLOCKWISE from the +x axis.

(g) Assume the car’s new speed leaving the cliff is 75.0 mph but the height of the cliff is unchanged, still 52 m.

- What is the new speed in m/s? 1mile = 1609 m, 1 hour = 60 minutes, 1 minute = 60 seconds

- What is the time interval (in seconds) from the car leaving the cliff to it hitting the ground?

- What would be the horizontal distance d (in meters) from the base of the cliff to the impact point?

7. As a mass tied to the end of a string swings from its highest point down to its lowest point, it is acted on by three forces: gravity, tension, and air resistance. Which force does (a) positive work? (b) negative work? (c) zero work?

What is the Schwarzschild radius of the black hole at the center of the Milky Way? What

      is the ratio of the gravitational acceleration the Sun feels from this black hole to the

      gravitational acceleration the Sun feels from the entire Milky Way? Comment on the

      gravitational significance the black hole has on our Solar System.