A 30.0g arrow is shot by william tell through an 8.00cm thick apple sitting on top of his son's head. If the arrow enters the apple at 30.0 m/s and emerges at 25. m/s in the same direct, with what force has the apple resisted the arrow?

A 30.0g arrow is shot by william tell through an 8.00cm thick apple sitting on top of his son’s head. If the arrow enters the apple at 30.0 m/s and emerges at 25. m/s in the same direct, with what force has the apple resisted the arrow?
A workman on the scaffolding outside one of the science classrooms drops a wrench. A physics student, bored with the lesson, times it as it falls past the classroom window. She found that it took 0.6s to fall past the 2m tall window. Calculate the spanner’s initial velocity as it appears at the top of the window.
A 3.0-kg and a 5.0-kg box rest side-by-side on a smooth, level floor. A horizontal force of 32 N is applied to the 5.0-kg box pushing it against the 3.0-kg box, and, as a result, both boxes slide along the floor. How hard do the two boxes push against each other?

A 30.0g arrow is shot by william tell through an 8.00cm thick apple sitting on top of his son's head. If the arrow enters the apple at 30.0 m/s and emerges at 25. m/s in the same direct, with what force has the apple resisted the arrow?

A 30.0g arrow is shot by william tell through an 8.00cm thick apple sitting on top of his son’s head. If the arrow enters the apple at 30.0 m/s and emerges at 25. m/s in the same direct, with what force has the apple resisted the arrow?
A workman on the scaffolding outside one of the science classrooms drops a wrench. A physics student, bored with the lesson, times it as it falls past the classroom window. She found that it took 0.6s to fall past the 2m tall window. Calculate the spanner’s initial velocity as it appears at the top of the window.
A 3.0-kg and a 5.0-kg box rest side-by-side on a smooth, level floor. A horizontal force of 32 N is applied to the 5.0-kg box pushing it against the 3.0-kg box, and, as a result, both boxes slide along the floor. How hard do the two boxes push against each other?

What is the energy of a photon of violet light with a frequency of 7.35 × 1014 Hz? ___ x 10 ^___J

What is the energy of a photon of violet light with a frequency of 7.35 × 1014 Hz?
___ x 10 ^___J
2.) How much greater is the energy of a photon of ultraviolet radiation (λ = 3.00 × 10−7 m) than the energy of a photon of sunlight (λ = 5.60 × 10−7 m)?
___ x 10^J
1.) (Has two parts) A light wave has a frequency of 7.57 × 1014 cycles per second.
(a) What is the wavelength?
____ × 10^___ m
(b) According to the table below, what color would you observe?
Color
wavelength (in 10−7 m)
Red
6.25 − 7.90
Orange
6.00 − 6.24
Yellow
5.77 − 5.99
Green
4.92 − 5.76
Blue
4.55 − 4.91
Violet
3.90 − 4.54
4.) At a particular location and time, sunlight is measured on a 1 m^2 solar collector with a power of 1,213.0 W. If the peak intensity of this sunlight has a wavelength of 5.58 × 10^−7 m, how many photons are arriving each second?
___ × 10 ^____ photon/s
5.) What is the energy of a gamma photon of frequency 7.13 × 1020 Hz? __ × 10^___ J
6.) At a particular location and time, sunlight is measure on a 1.00 square meter solar collector with an intensity of 1,210.0 W/m2. If the peak intensity of this sunlight has a wavelength of 5.60 × 10−7 m, how many photons are arriving each second?
____ × 10 ____ photon/s
7.) What is the energy of a photon of wavelength 9.73 mm? ___× 10^__ J
8.) To the nearest hundredth of a minute, how many minutes are required for a radio signal to travel from the Earth to a space station on Jupiter if the planet Jupiter is 5.9 × 108 km from the Earth? ___min
9.) To the nearest hundredth of a second, how much time is required for reflected sunlight to travel from the Moon to the Earth if the distance between the Earth and the Moon is 3.91 × 105 km?__ s
10.) (has two parts) What is the speed of light when traveling through
(a) water = ___× 10 m/s
and (b) ice? __× 10 m/s
11.) What is the frequency of light with a wavelength of 8.20 × 10−7 m? __ × 10^__ Hz
12.) What is the energy of a photon of ultraviolet radiation with a wavelength of 1.52 × 10−7 m? ___ × 10^__J
13.) Light passes through a transparent substance at a speed of 2.256 × 108 m/s.
Based on the following table, what is the material?
Substance
index of refraction (n = c/v)
Diamond
2.42
Ice
1.31
Water
1.33
Ethyl alcohol
1.36
14.) At a particular location and time, sunlight is measured on a 1.00 square meter solar collector with an intensity of 1,178.0 W/m2. If the peak intensity of this sunlight has a wavelength of 5.60 × 10−7 m, how many photons are arriving each second?
__ × 10^__ photon/s
15.) A neutron with mass 1.68 × 10−27 kg moves from a nuclear reactor with a velocity of 9.51 × 103 m/s. What is the deBroglie wavelength of the neutron? __ × 10^__ m
16.) If the charge-to-mass ratio of a proton is 9.58 × 107 coulomb/kilogram and the charge is 1.60 × 10−19 coulomb, what is the mass of the proton? __× 10^__ kg
17.) How much energy is required to completely remove the electron from a hydrogen atom in the ground state? E = __ eV
18.) (has two parts use picture below to answer this question) Referring to the figure below, how much energy is needed to move an electron in a hydrogen atom from n = 5 to n = 6? Give the answer in
(a) in joules and __ × 10 ^__ J (b) in eV ___ eV
5
19.) Use chemical symbols and numbers to identify the following isotopes:
(a) Potassium−39 :
(b) Neon−22 :
(c) Tungsten−184 :
(d) Iodine−127

What is the energy of a photon of violet light with a frequency of 7.35 × 1014 Hz? ___ x 10 ^___J

What is the energy of a photon of violet light with a frequency of 7.35 × 1014 Hz?
___ x 10 ^___J
2.) How much greater is the energy of a photon of ultraviolet radiation (λ = 3.00 × 10−7 m) than the energy of a photon of sunlight (λ = 5.60 × 10−7 m)?
___ x 10^J
1.) (Has two parts) A light wave has a frequency of 7.57 × 1014 cycles per second.
(a) What is the wavelength?
____ × 10^___ m
(b) According to the table below, what color would you observe?
Color
wavelength (in 10−7 m)
Red
6.25 − 7.90
Orange
6.00 − 6.24
Yellow
5.77 − 5.99
Green
4.92 − 5.76
Blue
4.55 − 4.91
Violet
3.90 − 4.54
4.) At a particular location and time, sunlight is measured on a 1 m^2 solar collector with a power of 1,213.0 W. If the peak intensity of this sunlight has a wavelength of 5.58 × 10^−7 m, how many photons are arriving each second?
___ × 10 ^____ photon/s
5.) What is the energy of a gamma photon of frequency 7.13 × 1020 Hz? __ × 10^___ J
6.) At a particular location and time, sunlight is measure on a 1.00 square meter solar collector with an intensity of 1,210.0 W/m2. If the peak intensity of this sunlight has a wavelength of 5.60 × 10−7 m, how many photons are arriving each second?
____ × 10 ____ photon/s
7.) What is the energy of a photon of wavelength 9.73 mm? ___× 10^__ J
8.) To the nearest hundredth of a minute, how many minutes are required for a radio signal to travel from the Earth to a space station on Jupiter if the planet Jupiter is 5.9 × 108 km from the Earth? ___min
9.) To the nearest hundredth of a second, how much time is required for reflected sunlight to travel from the Moon to the Earth if the distance between the Earth and the Moon is 3.91 × 105 km?__ s
10.) (has two parts) What is the speed of light when traveling through
(a) water = ___× 10 m/s
and (b) ice? __× 10 m/s
11.) What is the frequency of light with a wavelength of 8.20 × 10−7 m? __ × 10^__ Hz
12.) What is the energy of a photon of ultraviolet radiation with a wavelength of 1.52 × 10−7 m? ___ × 10^__J
13.) Light passes through a transparent substance at a speed of 2.256 × 108 m/s.
Based on the following table, what is the material?
Substance
index of refraction (n = c/v)
Diamond
2.42
Ice
1.31
Water
1.33
Ethyl alcohol
1.36
14.) At a particular location and time, sunlight is measured on a 1.00 square meter solar collector with an intensity of 1,178.0 W/m2. If the peak intensity of this sunlight has a wavelength of 5.60 × 10−7 m, how many photons are arriving each second?
__ × 10^__ photon/s
15.) A neutron with mass 1.68 × 10−27 kg moves from a nuclear reactor with a velocity of 9.51 × 103 m/s. What is the deBroglie wavelength of the neutron? __ × 10^__ m
16.) If the charge-to-mass ratio of a proton is 9.58 × 107 coulomb/kilogram and the charge is 1.60 × 10−19 coulomb, what is the mass of the proton? __× 10^__ kg
17.) How much energy is required to completely remove the electron from a hydrogen atom in the ground state? E = __ eV
18.) (has two parts use picture below to answer this question) Referring to the figure below, how much energy is needed to move an electron in a hydrogen atom from n = 5 to n = 6? Give the answer in
(a) in joules and __ × 10 ^__ J (b) in eV ___ eV
5
19.) Use chemical symbols and numbers to identify the following isotopes:
(a) Potassium−39 :
(b) Neon−22 :
(c) Tungsten−184 :
(d) Iodine−127

The pressure in a constant-volume gas thermometer is 0.700 atm at 100°C and 0.512 atm at 0°C. (a) What is the temperature when the pressure is 0.0450 atm? °C (b) What is the pressure at 425°C?

The pressure in a constant-volume gas thermometer is 0.700 atm at 100°C and 0.512 atm at 0°C.
(a) What is the temperature when the pressure is 0.0450 atm? °C (b) What is the pressure at 425°C? atm
2.–/2 pointsSerCP9 10.P.029.soln.My Notes |
One mole of oxygen gas is at a pressure of 6.35 atm and a temperature of 23.5°C.
(a) If the gas is heated at constant volume until the pressure triples, what is the final temperature? °C (b) If the gas is heated so that both the pressure and volume are doubled, what is the final temperature? °C
3.–/2 pointsSerCP9 10.P.031.My Notes |
(a) An ideal gas occupies a volume of 2.0 cm3 at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container. molecules (b) If the pressure of the 2.0-cm3 volume is reduced to 1.0 × 10−11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container? mol
4.–/1 pointsSerCP9 10.P.039.WI.soln.My Notes |
What is the average kinetic energy of a molecule of oxygen at a temperature of 240 K? J
5.–/2 pointsSerCP9 10.P.043.My Notes |
At what temperature would the rms speed of a chlorine-35 atom equal the following speeds? (Note: The mass of a chlorine-35 atom is 5.810 http://www.webassign.net/images/multiply.gif 10-26kg.)
(a) the escape speed from Earth, 1.12 http://www.webassign.net/images/multiply.gif 104 m/s K (b) the escape speed from the Moon, 2.37 http://www.webassign.net/images/multiply.gif 103 m/s K
6.–/2 pointsSerCP9 10.P.054.My Notes |
A vertical cylinder of cross sectional area A is fitted with a tight-fitting, frictionless piston of mass m (figure below).
http://www.webassign.net/sercp9/10-p-054.gif
(a) If n moles of an ideal gas are in the cylinder at a temperature of T, use Newton’s second law for equilibrium to show that the height h at which the piston is in equilibrium under its own weight is given by
h =
nRT
mg + P0A
where P0 is atmospheric pressure. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Is the pressure inside the cylinder less than, equal to, or greater than atmospheric pressure?
less than equal to greater than
(c) If the gas in the cylinder is warmed, how would the answer for h be affected?
This answer has not been graded yet.
7.–/1 pointsSerCP9 11.P.004.My Notes |
An aluminum rod is 18.5 cm long at 20°C and has a mass of 350 g. If 10,500 J of energy is added to the rod by heat, what is the change in length of the rod? mm
8.–/4 pointsSerCP9 11.P.019.My Notes |
An aluminum calorimeter with a mass of 100 g contains 250 g of water. The calorimeter and water are in thermal equilibrium at 10.0°C. Two metallic blocks are placed into the water. One is a 49.1-g piece of iron at 80.0°C. The other has a mass of 324.5 g and is originally at a temperature of 100°C. The entire system stabilizes at a final temperature of 20.0°C. (Use any necessary data on specific heats found in this table.)
(a) Determine the specific heat of the unknown sample. J/kg · °C (b) Using the data in the table, can you make a positive identification of the unknown material? Can you identify a possible material? The unknown material be (c) Explain your answers for part (b).
This answer has not been graded yet.
9.–/1 pointsSerCP9 11.P.026.My Notes |
A 51-g ice cube at 0°C is heated until 43 g has become water at 100°C and 8.0 g has become steam at 100°C. How much energy was added to accomplish the transformation? J
10.–/3 pointsSerCP9 11.P.037.My Notes |
A 1.50-g lead bullet at 30.0°C is fired at a speed of 2.00 http://www.webassign.net/images/multiply.gif 102 m/s into a large, fixed block of ice at 0°C, in which it becomes embedded.
(a) Describe the energy transformations that occur as the bullet is cooled.
This answer has not been graded yet.
What is the final temperature of the bullet? °C (b) What quantity of ice melts? g

1. A simple harmonic oscillator consists of a 0.2-kg mass attached to a spring with force constant 1 N/m. The mass is displaced by 5 cm and released from rest. Calculate:

1. A simple harmonic oscillator consists of a 0.2-kg mass attached to a spring with force constant 1 N/m.
The mass is displaced by 5 cm and released from rest. Calculate
(a) the natural frequency ν0 and the period τ0,
(b) the total energy, and
(c) the maximum speed of the oscillator.
2. Now allow the motion of the previous problem to occur is a resisting medium. After oscillating for 10
s, the amplitude decreases to half the initial value. Calculate
(a) the damping parameter β, and
(b) the frequency ν1 and compare it to the undamped frequency ν0
3. Mathematica problem: Consider underdamped motion with amplitude A = 1 m. Use Mathematica
to plot x(t) and its two components (e−βt and cos(ω1t − δ)) on the same plot as the solution for the undamped oscillator (β = 0). Take ω0 = 1 rad/s. Make separate plots for β
2/ω20 = 0.1, 0.5, and 0.9
and for the phase δ = 0, π/2 and π. Plot nine separate plots for each set of these β and δ values.
Discuss the results.
4. Mathematica problem: Now consider a driven oscillator with β = 0.2 s−1. Plot xp(t), xc(t), and the
sum x(t) on the same plot. Let m = 1 kg and k = 1 kg/s2. Do this for ω/ω1 = 1/9, 1/3, 1.1, 3, and
6. For the xc(t) solution let the phase angle be 0 and the amplitude A = -1 m. For xp(t) let A = 1
m/s2 but calculate δ. What do you observe about the relative magnitudes of the two solutions as ω
increases? Why does this occur?
5. A block of mass m is connected to a spring, the other end of which is fixed. There is also a viscous
damping mechanism. The following observations have been made on this system:
1) If the block is pushed horizontally with a force equal to mg, the static compression of the spring is
equal to h.
2) The viscous resistive force is equal to mg if the block moves with a certain known speed u.
Questions:
(a) For this complete system, including both the spring and the damper, write the differential equation
governing horizontal oscillations of the mass in terms of m, g, h, and u.
– 2 –
Now consider the special case where u = 3 √ gh
(b) What is the angular frequency of the damped oscillations?
(c) After what time, expressed as a multiple of √ h/g, is the energy down by a factor of 1/e?
(d) What is the Q-value (= ω0/β) of this oscillator?
(e) This oscillator, initially in its rest position, is suddenly set in motion at t = 0 by an impulse
which imparts a non-zero momentum in the x-direction. Find the value of the phase angle δ in
the equation x(t) = Ae−βt cos(ωt− δ) that describes the subsequent motion, and sketch x(t) vs t for the first few cycles.
(f) If the oscillator is driven with a force mg cosωt, where ω = √ 2g/h, what is the amplitude of the
steady-state response?