with a velocity v = 4.6i m/s. It the strikes the six ball, which has an identical mass and is initially at rest. After the collision the eight ball is deflected by an angle of θ = 26° and the six ball is deflected by an angle of Φ = 35°, as shown in the figure.

Part (a) Write an expression for the magnitude of six ball's velocity, in terms of the angles given in the problem and the magnitude of the eight ball's initial velocity, v.

Part (b) What is the magnitude of the velocity, in meters per second, of the six ball?

Part (c) What is the magnitude of the velocity of the eight ball, in meters per second, after the collision?

A ball of mass, m is thrown straight up and rises h after leaving your hand, it momentarily stops. Acceleration due to gravity g is downward. Ignore air resistance.

Part A (5 points): If the ball is the system, and the Earth is the surroundings, what is the change in potential energy, ΔUsys of the system, and what is the work done, Wsurr by the surroundings ?

Δ Usys = 0; Wsurr = -mgh

Δ Usys = mgh; Wsurr = -mgh

Δ Usys = mgh; Wsurr = 0

Δ Usys = 0; Wsurr = 0

Δ Usys = -mgh; Wsurr = 0

Part B: If the ball + Earth is the system, and nothing is in the surroundings, what is the change in potential energy, ΔUsys of the system, and what is the work done, Wsurr by the surroundings ?

Δ Usys = 0; Wsurr = 0

Δ Usys = mgh; Wsurr = -mgh

Δ Usys = mgh; Wsurr = 0

Δ Usys = 0; Wsurr = -mgh

Δ Usys = -mgh; Wsurr = 0

how fast is the sun orbiting the center of the milky way? the revolution period is 230 million years. assume that the sun is 2/3 of the distance towards the edge of the milky way and the milky way is a galaxy of a typical size of a 100000 light years across. answer in Km/. speed of light is 300000 km/s

At a particular location < 1.6, -2.5, -3.7 > m in the room there is an electric field E= <3400, 0, 0> N/C. Figure out where to place a single positive point particle of charge +6 µC in order to produce this electric field

The D-string on a particular violin has a linear density of 1.26 × 10^-3 kg/m. The distance between the nut and the bridge, between which the string is stretched, is 0.308 m. If the fundamental frequency is 291 Hz, what is the tension in the string?

An organ pipe is open at both ends and has a length of 1.52 m. What is the fundamental frequency of this pipe?

Two violins play notes of 496 Hz and 503 Hz. When a third violin plays along with the 496-Hz note, a beat frequency of 3 Hz is detected. When the third violin plays along with the 503-Hz note, a beat frequency of 10 Hz is detected. What is the frequency being played by the third violin?

John is holding a tuning fork that is creating a 677-Hz sound. Jack holds an identical tuning fork that is creating the same frequency sound. If John starts walking toward Jack at a speed of 3.88 m/s, what is the beat frequency detected by Jack?

Two asteroids collide in space. The collision is not completely inelastic--the asteroids pull apart and continue on their way. Their masses are 8.7 X 10⁸ kg for Asteroid A and 3.4 X 10⁸ kg for Asteroid B. Treat Asteroid A as being initially at rest. Asteroid B, moving at high speed, strikes Asteroid A and moves from the collision at a speed of 7300 m/s in a direction 48 degrees from its original path. Meanwhile, Asteroid A moves away from the collision at a spee of 4400 m/s at an angle of 27 degrees from the original path of Asteroid B, but in the opposite direction, of course. Assume no significant amount of mass is lost in the collision (a definite oversimplification).

a) Find the initial momentum, and from it the original speed, of Asteroid B before the collision.

b) How much kinetic energy was lost in the collision?

You sometimes create a spark when you touch a doorknob after shuffling your feet on a carpet. Why? The air always has a few free electrons that have been kicked out of atoms by cosmic rays. If an electric field is present, a free electron is accelerated until it collides with an air molecule. It will transfer its kinetic energy to the molecule, then accelerate, then collide, then accelerate, collide, and so on. If the electron

A projectile is fired with an initial speed of 36.3 m/s at an angle of 41.0 degrees above the horizontal on a long flat firing range.

Determine the maximum height reached by the projectile.

Determine the total time in the air.

Determine the total horizontal distance covered (that is, the range).

Determine the speed of the projectile 2.00 s after firing.

Please provide readable steps to get a thumbs up. Thank you!

1) A human cannonball is launched straight up from the top of 100- meter-high rampart at 400 m/s. How long is the cannoneer in the air above the rampart? Answer: 81.6 s

2) A cheerleader is thrown straight up from the ground with an initial velocity of 1.5 m/s. On the way down, she makes eye contact with a fan when she is 2.8m above the field. How much time passes between the initial throw and when they make eye contact? Answer: 1.05 s

3) You throw a basketball from the ground straight up in the air with an initial velocity of 12.2 m/s. On its way down, it passes through a hoop 3.05 m above the ground. How long does it take the ball to reach the ground after it passes through the hoop? Answer: 0.28 s

I included the answers but I don't know how to get it!

A bathysphere used for deep-sea exploration has a radius of 1.52 m and a mass of 1.16 ✕ 104 kg. To dive, this submarine takes on mass in the form of sea water. Determine the amount of mass that the submarine must take on if it is to descend at a constant speed of 1.40 m/s, when the resistive force on it is 1101 N in the upward direction. The density of seawater is 1.03 ✕ 103 kg/m3.

Also, A horizontal pipe 20.00 cm in diameter has a smooth reduction to a pipe 10.00 cm in diameter. If the pressure of the water in the larger pipe is 7.50 104 Pa and the pressure in the smaller pipe is 6.00 104 Pa, at what rate does water flow through the pipes?

what is centripetal acceleration please explain this concept

discuss the formulas that connect angular velocity to angular acceleration

give equations that involve centripetal acceleration and explain them

Derive an expression for the minimum and maximum intensity when light reflects from a thin film

A ball is projected at an angle of 53 degrees and a speed of 30m/s from the top of a cliff on Venus. The ball lands onto the flat, level ground below the cliff and 100m from the base of the cliff. how tall is the cliff? gravity on venus is equal to 8.87m/s^2

Having a really hard time with this question!

To fit a contact lens to a patient's eye, a keratometer can be used to measure the curvature of the cornea-the front surface of the eye. This instrument places an illuminated object of known size at a known distance p from the cornea, which then reflects some light from the object, forming an image of it. The magnification M of the image is measured by using a small viewing telescope that allows a comparison of the image formed by the cornea with a second calibrated image projected into the field of view by a prism arrangement. Determine the radius of curvature of the cornea when p = 34.0 cm and M = 0.0200.