A 10-cm diameter solid metal ball falls through the air at its terminal velocity of 39.3 m/s.

a) What would the new terminal velocity be if the mass of the ball were doubled, while the diameter and all other physical properties of the ball remained unchanged.

b) What would the new terminal velocity be if the diameter of the ball were doubled, while the mass and all other physical properties of the ball remained the same as the original?

c) What would the terminal velocity be for a ball of the same material (and thus same solid density) that has twice the diameter as the original?

You are designing a high-speed elevator for a new skyscraper. The elevator will have a mass limit of 2400 kg (including passengers). For passenger comfort, you choose the maximum ascent speed to be 18.0 m/s, the maximum descent speed to be 10.0 m/s, and the maximum acceleration magnitude to be 2.70 m/s2. Ignore friction. A). What is the maximum upward force that the supporting cables exert on the elevator car? B). What is the minimum upward force that the supporting cables exert on the elevator car? C). What is the minimum time it will take the elevator to ascend from the lobby to the observation deck, a vertical displacement of 640 m? D).What is the maximum value of a 60.0-kg passenger’s apparent weight during the ascent? E). What is the minimum value of a 60.0-kg passenger’s apparent weight during the ascent? F). What is the minimum time it will take the elevator to descend to the lobby from the observation deck, a vertical displacement of 640 m?

Data & Analysis

Procedure A

Procedure B – concave

Procedure B – convex

Procedure C

Procedure D

Procedure E

The angle of Red is smaller than the angle of Blue.

Procedure F – critical angle

Questions/Applications

1. In procedure A & B, compare the incident and reflected angles. Find a % error.
2. For the procedure, C find the average index of refraction for the plastic block. (“Average” because you have two sets of the incident and refracted angles that you can apply Snell’s law too.)
3. For procedure D which lens produced a real image and which produced a virtual image and why?
4. For procedure E what color of the light was dispersed the most (dispersed meaning the color-dependent angle of refraction). Is your result consistent with equation (n = speed of light/frequency of light x wavelength? Explain your answer.
5. Use the critical angle in procedure F to find the index of refraction of the plastic half-circle. Compare this to the index of refraction found in question 2. Find a % difference.

HERE IS THE DATA FOR THE QUESTIONS. PLEASE ANSWER THEM FOR ME! THANKS!

You have a vertical metal rod, a spring with one end closed and the other end open so that it can slide down over the rod and then fly up when released, and a meter stick. The mass of the spring is 15g and its spring constant k is 6 N/m Your group decides to test the work-energy principle by stretching the spring a distance Dy = 30 cm, releasing it from rest and measuring how high it goes. Use your understanding of energy to predict how high the spring will go. Discuss what assumptions are being made in making your prediction. PLEASE INCLUDE FORCE DIAGRAM AND COORDINATE SYSTEM.

• Explain the 3 Laws of Thermodynamics in your own words. Discuss in detail systems that utilize each law.

The mean diameters of planets A and B are 9.3 × 103 km and 1.6 × 104 km, respectively. The ratio of the mass of planet A to that of planet B is 0.76. (a) What is the ratio of the mean density of A to that of B? (b) What is the ratio of the gravitational acceleration on A to that on B? (c) What is the ratio of escape speed on A to that on B?

A mass of 0.3 kg hangs motionless from a vertical spring whose length is 1.05 m and whose unstretched length is 0.40 m. Next the mass is pulled down to where the spring has a length of 1.30 m and given an initial speed upwards of 1.9 m/s. What is the maximum length of the spring during the motion that follows?

A simple harmonic oscillator consists of a block of mass 3.4 kg attached to a spring of spring constant 120 N/m. When t = 0.84 s, the position and velocity of the block are x = 0.127 m and v = 3.23 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?

A traveling wave along the x-axis is given by the following wave function ψ(x, t) = 4.5 cos(2.1x - 11.8t + 0.52),where x in meter, t in seconds, and ψ in meters. Find

a) the frequency, in hertz

b)The wavelength in meters.

c) The wave speed, in meters per second.

d) The phase constant in radians.

A particle of charge -3 C is momentarily located at the position (4,2,7) [all distances in meters]. The particle's velocity is 450i^+150j^+500k^ [in m/s] What is the magnetic field vector due to the particle at the position (8,6,7)? b.) At that same instant, a second particle of charge 11 C is momentarily located at the origin, moving along the positive x-axis with a speed of 2000 m/s. What is the total magnetic field at the target position from the previous problem?

The cubit is an ancient unit of length based on the distance between the elbow and the tip of the middle finger of the measurer. Assume that the distance ranged from 43 to 53 cm, and suppose that ancient drawings indicate that a cylindrical pillar was to have a length of 5.0 cubits and a diameter of 1.0 cubits. For the stated range, what are the lower values for (a) the cylinder's length in meters, (b) the cylinder's length in millimeters, and (c) the cylinder's volume in cubic meters? What are the upper values for (d) the cylinder's length in meters, (e) the cylinder's length in millimeters, and (f) the cylinder's volume in cubic meters?

I am having a real hard time with this. My answers are always wrong. If you can explain it to me then I will thank you.

During hand-pumped rail car races, a speed of 27.9 km/h has been achieved by teams of four people. A car that has a mass equal to 379 kg is moving at that speed toward a river when Carlos, the chief pumper, notices that the bridge ahead is out. All four people (each with a mass of 75.0 kg) simultaneously jump backward off the car with a velocity that has a horizontal component of 4.00 m/s relative to the car. The car proceeds off the bank and falls into the water a horizontal distance of 22.1 m from the bank.

a) How long is the time of fall of the rail car?

b) What is the horizontal component of the velocity of the pumpers when they hit the ground?

A 5.87-g bullet is moving horizontally with a velocity of +348 m/s, where the sign + indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as indicated in part b. Note that both blocks are moving after the collision with the bullet. The mass of the first block is 1238 g, and its velocity is +0.631 m/s after the bullet passes through it. The mass of the second block is 1623 g. (a) What is the velocity of the second block after the bullet imbeds itself? (b) Find the ratio of the total kinetic energy after the collision to that before the collision.