Young David who slew Goliath experimented with slings before tackling the giant. He found that he could revolve a sling of length 0.700 m at the rate of 6.00 rev/s. If he increased the length to 1.000 m, he could revolve the sling only 4.00 times per second.

(a) What is the speed of the stone for each rate of rotation?
m/s at 6.00 rev/s?______
m/s at 4.00 rev/s?______

(b) What is the centripetal acceleration of the stone at 6.00 rev/s?
m/s^2?______

(c) What is the centripetal acceleration at 4.00 rev/s?
m/s^2?______

For oxygen gas, the van der Waals equation of state achieves its best fit for a=0.14 N⋅m^4/mol^2 and b=3.2×10^(−5) m^3/mol

1.Determine the pressure in 2.0 mol of the gas at 10 ∘C if its volume is 0.24 L , calculated using the van der Waals equation.

2. Determine the pressure in 2.0 mol of the gas at 10 ∘C if its volume is 0.24 L , calculated using the ideal gas law.

A.) A challenge gaining prominence throughout the planet is the increased need for "green" or sustainable energy. In certain parts of the country, wind farms are a viable alternative to conventional energy sources. An average wind turbine, the device which converts rotational motion to electricity, has a maximum capacity of 1.80 MW1.80 MW . However, the wind turbine realistically never runs at full power. If a wind turbine runs at 26.4%26.4% capacity for 1.00 year1.00 year , how much energy does the wind turbine generate?

E=______kWh

B.)

Suppose that the average U.S. household uses 14100 kWh (kilowatt‑hours) of energy in a year. If the average rate of energy consumed by the house was instead diverted to lift a 2020 kg car10.8 m into the air, how long would it take?

car:________s

Using the same rate of energy consumption, how long would it take to lift a loaded Boeing 747 airplane, with a mass of 4.15×105 kg , to a cruising altitude of 9.67 km ?

airplane:______S

The box moves at a constant speed. If the mass of the box is 6.4 kg, it is pushed 3.6 m vertically upward, the coefficient of friction is 0.35, and the angle θ is 30.0°, determine the following. (a) the work done (in J) on the box by F (b) the work done (in J) on the box by the force of gravity J (c) the work done (in J) on the box by the normal force J (d) the increase in gravitational potential energy (in J) of the system of the box and earth as the box moves up the wall

Explain why Ampere's law for magnetism needs to be adjusted to include a "displacement current" term and what that implies about changing electric field

7. Imagine a wire is set to have a 6.0 Amp current traveling into the screen at position -2.5 m. A second wire is placed at +3.0 m and carries an 8.0 Amp current out of the screen. Calculate the strength of the magnetic field at x=0 m as well as at x = -3.0 m. Be sure to indicate direction. Show your work, and verify your result with the simulation. Reminder: the magnetic field due to a current-carrying wire is given as B = (μ0/2π)*(I/r).

Part A

Determine the binding energy of radium-226 (22688Ra).

Express your answer using five significant figures and include the appropriate units.

Part B

Determine the binding energy of an alpha particle.

Express your answer using five significant figures and include the appropriate units.

a) An eagle is flying horizontally at 4.4 m/s with a fish in its claws. It accidentally drops the fish.

(i) How much time passes before the fish's speed triples?
___s

(ii) How much additional time would be required for the fish's speed to triple again?
___ s

b) A soccer player kicks the ball toward a goal that is 28.8 m in front of him. The ball leaves his foot at a speed of 19.7 m/s and an angle of 32.2° above the ground. Find the speed of the ball when the goalie catches it in front of the net. (Note: The answer is not 19.7 m/s.)
____m/s

c) A dolphin leaps out of the water at an angle of 36° above the horizontal. The horizontal component of the dolphin's velocity is 9.0 m/s. Find the magnitude of the vertical component of the velocity.
_____m/s

One mole of an ideal monatomic gas is taken through the reversible cycle shown in the figure. Generic_PV_01.png Process B→C is an adiabatic expansion with PB=11.0 atm and VB=4.00×10-3 m3. The volume at State C is 9.00VB. Process A→B occurs at constant volume, and Process C→A occurs at constant pressure. What is the energy added to the gas as heat for the cycle? Incorrect. Tries 6/10 Previous Tries What is the energy leaving the gas as heat? Tries 0/10 What is the net work done by the gas? Tries 0/10 What is the efficiency of the cycle? (in percent-do not enter units) Incorrect. Tries 1/10 Previous Tries

Object A , which has been charged to + 14 nC , is at the origin. Object B , which has been charged to − 22 nC , is at (x,y)=(0.0cm,2.0cm) .

Part A

What is the magnitude of the electric force on object A ?

Express your answer using two significant figures.

Part B

What is the magnitude of the electric force on object B?

Part C

What is the direction of the electric force on object A?

Consider a solid ball of uniform charge density and net charge 2Q and radius r1 that is surrounded by a hollow sphere of charge –Q with radius r2. Give expressions for the electric field in the three regions: inside (r < r1) between (r1 < r < r2) and outside (r2 < r). Show your work.

An electric dipole is formed from ± 4.0 nC point charges spaced 3.0 mm apart. The dipole is centered at the origin, oriented along the y-axis.

1. What is the electric field strength at point (x,y) = ( 25 mm ,0 cm)?

2, What is the electric field strength at point (x,y) = ( 0 mm ,25 cm)?

In a Gauss's Law problem where we use a cylinder for the Gaussian surface, when we compute the surface we ignore the end caps of the cylinder and just use 2*pi*r*L as an answer. Explain why we drop out the geometry for the end caps.

Suppose a star the size of our Sun, but with mass 5.0 times as great, were rotating at a speed of 1.0 revolution every 18 days. If it were to undergo gravitational collapse to a neutron star of radius 14 km , losing three-quarters of its mass in the process, what would its rotation speed be? Assume also that the thrown- off mass carries off either

part a. no angular momentum

part b. its proportional share three-quarters of the initial angular momentum