Part A: Increasing Piston Displacement (L)

1. Calculate the product of the pressure P and length L for every row in both data tables.

2. Calculate the deviation for each value of PL.

Part B: Decreasing Piston Displacement (L)

A cart for hauling ore out of a gold mine has a mass of 423 kg, including its load. The cart runs along a straight stretch of track that is sloped 4.51

((8.27)Q:7)

Two ice skaters, Daniel (mass 70.0 kg ) and Rebecca (mass 45.0 kg ), are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at 14.0 m/s before she collides with him. After the collision, Rebecca has a velocity of magnitude 8.00 m/s at an angle of 55.1 ∘ from her initial direction. Both skaters move on the frictionless, horizontal surface of the rink.

A) What is the magnitude of Daniel's velocity after the collision?

B) What is the direction of Daniel's velocity after the collision?

C) What is the change in total kinetic energy of the two skaters as a result of the collision?

Consider a satellite of mass ms in circular orbit around Earth, a distance h above Earth's surface. Assume the Earth is a sphere with radius Re and mass Me.

(a) As the satellite travels in circular orbit, will its speed increase, decrease, or remain constant? Explain.

(b) The only force acting on the satellite is gravity, so the satellite is in freefall. Why doesn't the satellite get closer to Earth's surface?

(c) Determine the ratio of the force of gravity on the satellite while in orbit to the force of gravity on the satellite while on the surface of Earth. Simplify your answer; no complex fractions! Give your answer in terms of Re and h.

(d) Starting with Newton's second law, determine an equation for each of the following quantities. Give your answers in terms of Me, Re, h, and the universal gravitation constant G.

(i) the freefall acceleration of the satellite,

(ii) The orbital speed of the satellite,

(iii) the period of orbit, which is the time it takes the satellite to complete one orbit around Earth.

(e) Determine the work done by gravity as the satellite moves through one-half of its circular orbit.

(f) Consider a near-Earth orbiting satellite (h=0.10Re) that is inhabited by astronauts.

(i) Determine the ration of the freefall acceleration of an astronaut in this circular orbit to the freefall acceleration of an astronaut on Earth.

(ii) If that astronaut weights 150 pounds on Earth, how large is the force of gravity on her in orbit? Is she "weightless"?

A string of total mass 3.00×10^-2kg is stretched to a length of 4.9m by applying a tension of 14.20N. You flick the end of the string, sending a pulse to the far end. It reflects back to your hand.

PLEASE SHOW WORK, I REALLY WANT TO KNOW HOW TO DO THIS!

A) How fast is the pulse moving?

B) How much time does it take for the pulse to make the round trip (from your hand to the other end and back again)?

1. What are the factors in determining your takeoff critical field length for a certain runway? If after doing initial calculations you find the runway is too short, what might you be able to do as the pilot in command to be legal for takeoff?

A home run is hit in such a way that the baseball just clears a wall 21.0 m high, located 130 m from home plate. The ball is hit at an angle of 35.0° to the horizontal, and air resistance is negligible. Find initial speed of the ball. (Assume the ball is hit at a height of 1.00 m above the ground.)Find the speed of the ball when it reaches the wall.

How is GEOMETRIC OPTICS relevant to the development of autonomous or semi-autonomous technology and include? How is Magnetic field relevant to the development of autonomous or semi-autonomous technology and include?

It was shown in Example 21.11 (Section 21.5) in the textbook that the electric field due to an infinite line of charge is perpendicular to the line and has magnitude E=λ/2πϵ0r. Consider an imaginary cylinder with a radius of r = 0.105 m and a length of l = 0.410 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is λlambda = 5.65 μC/m .

What is the electric flux through the cylinder due to this infinite line of charge?

What is the flux through the cylinder if its radius is increased to r=0.565 m ?

What is the flux through the cylinder if its length is increased to l=0.785 m ?

Do regions where there is high electric potential also mean there is a high electric field?

1.

X-rays are scattered from electrons in a carbon target. The measured wavelength shift is 0.00131 nm. Calculate the scattering angle. The speed of light is 3 × 108 m/s and Planck’s constant is 6.626 × 10?34 J · s. Answer in units of ? .

2.

A 0.0011 nm photon scatters from a free electron. For what (photon) scattering angle will the recoiling electron and scattered photon have the same kinetic energy? The speed of light is 3 × 108 m/s and Planck’s constant is 6.626 × 10?34 J · s. Answer in units of ? .

please help

ANSWERS MUST BE CORRECT: (Detailed explanation of order of processes required. Take your time and answer it perfectly to receive credit. The most detailed answer and explanation will be awarded points).

A series RC circuit with C = 30 uF and R = 5.4 ohm has a 18 V source in it. With the capacitor initially uncharged, an open switch in the circuit is closed.

QUESTION:

What is the current in the resistor at that time?    (Express your answer using two significant figures).

                             I = ???   A  

A rectangular piece of cardboard with an L-shaped hole is held 1.0m directly in front of a point source of light. The cardboard is 1.5m away from a wall. The cardboard and the wall are parallel. The height H of the L is 15.40cm. The width W of the L is 7.08cm.

How tall is the image of the L on the wall?
How wide is the image of the L on the wall?

A small mailbag is released from a helicopter that is descending steadily at 2.77 m/s.

(a) After 4.00 s, what is the speed of the mailbag?

(b) How far is it below the helicopter?

(c) What are your answers to parts (a) and (b) if the helicopter is rising steadily at 2.77 m/s?

2. A 2kg puck is located at position (5???? 2???)m with velocity (?7???? ???)m/s at time t=0s. I apply a
constant force of magnitude 10N in the direction (?4???+ 2???) for 10 seconds. At time t=10s, the
puck is at position (????+ 10???)m with a velocity of 5m/s in the direction (???+ ???).
a. How much work did I do on the puck?
b. How much work is done on the puck total?
c. What is the average power input to the puck from all sources?