A 175 g mass attached to a horizontal spring oscillates at a frequency of 2.80 Hz. At t =0s, the mass is at x= 7.00 cm and has vx =− 35.0 cm/s . Determine:

The maximum speed.

The maximum acceleration.

The total energy.

The position at t= 2.80 s .

In the previous parts, the following was found: period = 0.357 s, angular frequency = 17.59 rad/s, amplitude = 7.277 cm, phase constant = 15.8679 degrees.

Fluid Mechanics: A water tank is a cylinder 4 m in height and 2 meters in diameter. The tank is full at time t_o. The tank sits on a platform 12 m tall. A water tap is located at the bottom center of the tank. The tap, when actuated, opens to a pipe 5 cm in radius.

a.       Write down Bernoulli’s equation. Identify the Pressure, Kinetic and Potential Energy terms. Show that each has the units of an energy density (Joules/Volume).

b.       Use Bernoulli’s equation to compare the difference in pressure between the surface of the water and the bottom of the tank near the edge? Assume the fluid is motionless near the edge.

c.       When a tap is opened water rushes in to a pipe 5 cm in radius. The pipe is straight and drops 12 m to ground level, but along the way slowly in radius to 2 cm. What is the speed of the water as it emerges from the pipe?

d.       Use the continuity equation to find the speed of the water as it enters the pipe 12 m above, i.e. bottom of the tank.

e.       What is the volume and mass flow rate of the stream of water?

f.        What is the pressure of the fluid as it enters the pipe, again at the bottom of the tank.

Suppose a certain laser can provide 140 TW of power in 0.96 ns pulses at a wavelength of 0.25 ?m. How much energy is contained in joules in a single pulse?

I will give 5 stars for the correct answer

Three odd-shaped blocks of chocolate have the following masses and center-of-mass coordinates: (1) 0.310 kg , ( 0.200 m , 0.310 m ); (2) 0.410 kg , ( 0.110 m , -0.380 m );(3) 0.210 kg , ( -0.290 m , 0.630 m ).

Part A

Find the x-coordinate of the center of mass of the system of three chocolate blocks.

Part B

Find the y-coordinate of the center of mass of the system of three chocolate blocks.

At time =0, a proton is at rest at location <4.7, 1.8, 0> x 10^-6m. An electron is at <2.9,8.7,0> x 10^-6 m. and is moving with a momentum of <3.6,-7.8,0> x 10^-27 kg*m/s. the proton and electron are in outer space, far from any other matter. The proton has a charge of 1.6 x 10^-19 C, and the elctrons charge is exactly the negative of this value.

A.) what is the magnitude of the gravitational force on the electron by the proton?

B.) what is the magnitude of the electric force on the electron by the proton. By what factor is it larger than the gravitational force?

C.) what is the electric force vector on the electron by the proton?

D.) after time 2.0 x 10^-10 s, what is the momentum of the electron?

1) identify the processes that shape planetary surfaces and identify the most common planetary process

2) identify the processes that have taken place on the surface of Mars and Venus.

3) identify the surface processes that have taken place on the surface of Mercury the Moon and the moon's of Jupiter.

What beat frequencies result if a piano hammer hits three strings that emit frequencies of 127.7, 128.1, and 129.2 Hz? (Give your answers from smallest to largest.)
Hz
Hz
Hz

1) describe how temperature influenced what materials condensed from the nebular cloud.

2) compare and contrast the composition of the inner and outer planets

3) explain the frost line and the influence it has on the formation of planets (in any solar system).

4) explain why our solar system has rocky inner planets and gaseous outer planets and identify the most metal-rich planet in the solar system

5) explain the occurrence of Hot Jupiters

An electron is accelerated inside a parallel plate capacitor. The electron leaves the negative plate with a negligible initial velocity and then after the acceleration it hits the positive plate with a final velocity β. The distance between the plates is 16.5 cm, and the voltage difference is 149 kV. Determine the final velocity β of the electron using classical mechanics. (The rest mass of the electron is 9.11×10^-31 kg, the rest energy of the electron is 511 keV.)

What is the final velocity β of the electron if you use relativistic mechanics?

a.) Is the acceleration due to gravity a constant or will it vary from place to place on Earth?

b.) What about on another planet or moon?

c.) How does Newton's second law of motion compare to Universal Gravitation?

A battery of ? = 2.10 V and internal resistance R = 0.600 ? is driving a motor. The motor is lifting a 2.0 N mass at constant speed v = 0.50 m/s. Assuming no energy losses, find the current i in the circuit.

(a) Enter the lower current.

(b) Enter the higher current.

(c) Find the potential difference V across the terminals of the motor for the lower current.

(d) Find the potential difference V across the terminals of the motor for the higher current.

A river has a steady speed of 0.330 m/s. A student swims upstream a distance of 1.00 km and swims back to the starting point.

(a) If the student can swim at a speed of 1.10 m/s in still water, how long does the trip take?

__________ s

(b) How much time is required in still water for the same length swim?

__________ s

(c) Intuitively, why does the swim take longer when there is a current?

This is for thermodynamics:

"The latent heat of vaporization for water at 1 atm and 100 degrees C is 2.26x10³ kJ/kg. Calculate the latent heat for water at 2 atm and 100 C by combining the heat per kg required to turn liquid water into steam at 1 atm with the heat per kg required to change the pressure of that steam from 1 atm to 2 atm at a temperature of 100 C. Treat the steam as an ideal gas, and take the molar mass of water to be M = 18.015x10^-3 kg/mol."

1. If you need to do 1.6x10^-6 J of work in order to get a charge closer to another charge, what is the increase in potential energy in J of the moved charge?

2. The work done by the electric force as a positive test charge of 3.0x10^-6 C moves from A to B is 6.0x10^-5 J. What is the difference in electric potential energy (EPE) between points B and A, in Joules? What is the potential difference (V) between points B and A?

3. A negative charge q1 = -6.0x10^-8 C has a distance of 100 m to a positive charge q2 = 6.0x10^-8 C. Two points, A and B, are on the line connecting the two charges. If A is 30 m away from q1 and B is 30 m away from q2, what is the potential difference in V between the points A and B?

4. What is the intersection angle between an electric field line and an equipotential line/surface?

A force platform is a tool used to analyze the performance of athletes measuring the vertical force that the athlete exerts on the ground as a function of time. Starting from rest, a 63.0 kg athlete jumps down onto the platform from a height of 0.690 m. While she is in contact with the platform during the time interval 0 < t < 0.8 s, the force she exerts on it is described by the function below. F = (9 200 N/s)t - (11 500 N/s2)t2

Assume the positive y-axis points upward.
(a) What was the athlete's velocity when she reached the platform?

b) What impulse did the athlete receive from the platform?

(c) What impulse did the athlete receive from gravity while in contact with the platform?

(d) With what velocity did she leave the platform?

(e) To what height did she jump upon leaving the platform?