A bomb at rest at the origin of an xy-coordinate system explodes into three pieces. Just after the explosion, one piece, of mass 4 kg, moves with a velocity of 45 m/s in the negative x-direction, and a second piece, also of mass 4 kg, moves with a velocity of 36 m/s in the negative y-direction. The third piece has a mass of 7 kg.
What is the initial momentum of the bomb before the explosion?
What is the x-component of the velocity of the third piece just after the explosion?
What is the y-component of the velocity of the third piece just after the explosion?
What is the magnitude of the velocity of the third piece?
Just after the explosion, in what direction is the third piece moving? (Give your answer as an angle measured clockwise from the positive x-axis.)
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The Millennium Falcon is trying to stay in the Death Star’s blind spot by following a geosynchronous orbit above it. The Falcon is 2.1x10^5m above the surface of the Death Star,
which has a radius of 80 km. The Death Star has a mass of 2.3x10^18 kg and it makes one full rotation about its central axis every 22 hours. What speed does the Falcon need to maintain in order to stay in geosynchronous orbit with the Death Star ?
(Note: there is enough information given in this problem to solve it via two different, independent methods. Try to figure both of them out! They both give the same correct answer.)
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Given :Vitrified canister equal 1.5 fuel assemblies (f.p. and MA; Capacity: 155 litres; weight: 490 kg; height: 1.3 m; diameter: 43 cm). An amount ofabout 1 TWh enough for a city of 500k for year takes two canisters.
Assume the average home requires an electrical power of 1.2kW, an average life expectancy of 75 years, and only power from nuclear energy. For such a homeowner, what would be the lifetime generation of vitrified high level waste (HLW) in kg and liters?
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Describe elastic, inelastic, and completely inelastic collisions. Which type of collisions are you going to investigate in the lab?
Do you expect the linear momentum of the system to be conserved in your experiment?In which part? Explain why.
Do you expect kinetic energy of the system to be conserved in your experiment? In which part? Explain why.
In one trial for inelastic collisions in the experiment, cart 1 has mass m1 and is initially moving with velocity v ⃗_1i to the right. Cart 2 with mass m2 is initially moving with velocity v ⃗_2i also to the right. The velocity of the cart 1 is larger than the velocity of cart 2 causing a collision between both carts. After the collision, the carts stick together and move with velocity v ⃗_f to the right.
Write down the expression for the magnitude of linear momentum of the system before collision.
Write down the expression for the magnitude of linear momentum of the system after the collision.
Write down the expression for the magnitude of kinetic energy of the system before collision.
Write down the expression for the magnitude of the kinetic energy of the system after the collision.
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Part A: Increasing Piston Displacement (L)
L (cm) |
P_{g} (atm) |
7.0 |
1.6 |
8.0 |
1.34 |
9.0 |
1.2 |
10.0 |
1.1 |
11.0 |
0.10 |
12.0 |
0.9 |
13.0 |
0.8 |
14.0 |
0.72 |
15.0 |
0.69 |
16.0 |
0.6 |
17.0 |
0.59 |
18.0 |
0.52 |
19.0 |
0.5 |
20.0 |
0.49 |
21.0 |
0.45 |
22.0 |
0.35 |
23.0 |
0.3 |
24.0 25.0 |
0.3 0.29 |
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)
L (cm) |
P_{g} (atm) |
25.0 |
0.29 |
24.0 |
0.3 |
23.0 |
0.3 |
22.0 |
0.32 |
21.0 |
0.45 |
20.0 |
0.49 |
19.0 |
0.5 |
18.0 |
0.51 |
17.0 |
0.58 |
16.0 |
0.61 |
15.0 |
0.67 |
14.0 |
0.71 |
13.0 |
0.79 |
12.0 |
0.85 |
11.0 |
0.95 |
10.0 |
1.05 |
9.0 |
1.2 |
8.0 |
1.35 |
7.0 |
1.6 |
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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
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((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?
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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"?
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A string of total mass 3.00×10^{-2}kg 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)?
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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?
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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.
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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?
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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 ?
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Do regions where there is high electric potential also mean there is a high electric field?
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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
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