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4. (20 pts) Standing next to a deep water well you drop a rock and wait...
You stand at the top of a deep well. To determine the depth, D, of the...
You stand at the top of a deep well. To determine the depth,
D, of the well you drop a rock from the top of the well
and listen for the splash as the rock hits the water’s surface. The
sound of the splash arrives t = 4.3 s after you drop the
rock. The speed of sound in the well is vs =
336 m/s
(7%) Problem 6: You stand at the top of a deep well. To determine...
When you drop a rock into a well, you hear the splash 2.0 seconds later. How...
When you drop a rock into a well, you hear the splash 2.0 seconds later. How deep is the well? If the depth of the well were doubled, would the time required to hear the splash be greater than, less than, or equal to 4.0 seconds? Please explain why
You drop a rock into a deep well and 4.6 s later hear the splash. How...
You drop a rock into a deep well and 4.6 s later hear the splash. How far down is the water? Neglect the travel time of the sound. Express your answer using two significant figures.
You are standing a distance d (2m) directly in front of one of two identical speakers, being driven by the same signal generator, that are a distance h (5m) apart. You walk in the positive direction s...
You are standing a distance d
(2m) directly in front of one of two identical speakers, being
driven by the same signal generator, that are a distance h (5m)
apart. You walk in the positive direction starting at y=0 m, along
a line parallel to the line joining the two speakers. The speed of
sound is 340 m/s and the frequency is 170 HZ. As you walk, how many
times and where will you hear a maximum sound?
PROBLEM You...
Imagine that we release a rock of mass m (which is initially at rest) at the...
Imagine that we release a rock of mass m (which is initially at rest) at the surface of a lake and measure its position and velocity as functions of time while it sinks. The rock moves under the influence of three forces: gravity, buoyancy, and viscous drag. Let y represent the vertical position of the sinking rock, with the surface of the lake at y -0, and positive y upwards The net force on the rock is F =-[m-mdisplaced where...
PROBLEM #2: STANDING WAVE PATTERNS While talking to a friend on the phone you play with the telep...
Please answer WARM-UP Questions #1-6.
PROBLEM #2: STANDING WAVE PATTERNS While talking to a friend on the phone you play with the telephone cord. As you shake the cord, you notice the ends of the cord are stationary whi vibrates back and forth; you have a standing wave. As you change the motion of your hand, a new pattern develops in which the middle of the cord is stationary while the rest of the cord vibrates wildly. You decide to...
Problem 4.1 - Odd Bound States for the Finite Square Well Consider the finite square well...
Problem 4.1 - Odd Bound States for the Finite Square Well Consider the finite square well potential of depth Vo, V(x) = -{ S-V., –a sx sa 10, else In lecture we explored the even bound state solutions for this potential. In this problem you will explore the odd bound state solutions. Consider an energy E < 0 and define the (real, positive) quantities k and k as 2m E K= 2m(E + V) h2 h2 In lecture we wrote...
Ae-kt sin út or f(t)-Ae-kt oos ωt des crites the position (10 pts) An equation of the form f(t) of an object in dam...
Ae-kt sin út or f(t)-Ae-kt oos ωt des crites the position (10 pts) An equation of the form f(t) of an object in damped harmonic motion, with the following characteristics: A is the initial amplitude k is the damping constant -is the period The frequency of the motion is simply the reciprocal of the period, ie, fA common unit for frequency is 2e the hertz (Hz), which represents one cycle per second. Suppose the G-string on a violin is plucked...
(8 pts) Carbon dioxide in the atmosphere dissolves in water to establish an equilibrium that can...
(8 pts) Carbon dioxide in the atmosphere dissolves in water to establish an equilibrium that can increase the acidity of aqueous solutions in the environment. This equilibrium is CO2(g) = CO2 (aq), Kn= 3.1 x 10-2 at 25°C. Kh is called the Henry's law constant, which relates the solubility of the gas CO2 in the aqueous solution, [CO2), to the partial pressure of CO2 over the solution, p(CO2): [CO2] (M)= Kn · p(CO2) (atm) During the preceding decades, the atmospheric...
3. (40 pts total) Eigenvalues of Systems of Equations Application: Series RLC Circuit, Natural, or Transient...
3. (40 pts total) Eigenvalues of Systems of Equations Application: Series RLC Circuit, Natural, or Transient Response (Remember EE280, maybe not) M SR v(t) Consider a series RLC circuit, with a resistor R, inductor L, and capacitor C in series. The same current i(t) flows through R, L, and C. The switch S1 is initially closed and S2 is initially open allowing the circuit to fully charge. At t=0 the switch S1 opens and S2 closes as shown above. Solving...
You stand at the top of a deep well. To determine the depth,
D, of the well you drop a rock from the top of the well
and listen for the splash as the rock hits the water’s surface. The
sound of the splash arrives t = 4.3 s after you drop the
rock. The speed of sound in the well is vs =
336 m/s
(7%) Problem 6: You stand at the top of a deep well. To determine...
You are standing a distance d
(2m) directly in front of one of two identical speakers, being
driven by the same signal generator, that are a distance h (5m)
apart. You walk in the positive direction starting at y=0 m, along
a line parallel to the line joining the two speakers. The speed of
sound is 340 m/s and the frequency is 170 HZ. As you walk, how many
times and where will you hear a maximum sound?
PROBLEM You...
Imagine that we release a rock of mass m (which is initially at rest) at the surface of a lake and measure its position and velocity as functions of time while it sinks. The rock moves under the influence of three forces: gravity, buoyancy, and viscous drag. Let y represent the vertical position of the sinking rock, with the surface of the lake at y -0, and positive y upwards The net force on the rock is F =-[m-mdisplaced where...
Please answer WARM-UP Questions #1-6.
PROBLEM #2: STANDING WAVE PATTERNS While talking to a friend on the phone you play with the telephone cord. As you shake the cord, you notice the ends of the cord are stationary whi vibrates back and forth; you have a standing wave. As you change the motion of your hand, a new pattern develops in which the middle of the cord is stationary while the rest of the cord vibrates wildly. You decide to...
Problem 4.1 - Odd Bound States for the Finite Square Well Consider the finite square well potential of depth Vo, V(x) = -{ S-V., –a sx sa 10, else In lecture we explored the even bound state solutions for this potential. In this problem you will explore the odd bound state solutions. Consider an energy E < 0 and define the (real, positive) quantities k and k as 2m E K= 2m(E + V) h2 h2 In lecture we wrote...
Ae-kt sin út or f(t)-Ae-kt oos ωt des crites the position (10 pts) An equation of the form f(t) of an object in damped harmonic motion, with the following characteristics: A is the initial amplitude k is the damping constant -is the period The frequency of the motion is simply the reciprocal of the period, ie, fA common unit for frequency is 2e the hertz (Hz), which represents one cycle per second. Suppose the G-string on a violin is plucked...
(8 pts) Carbon dioxide in the atmosphere dissolves in water to establish an equilibrium that can increase the acidity of aqueous solutions in the environment. This equilibrium is CO2(g) = CO2 (aq), Kn= 3.1 x 10-2 at 25°C. Kh is called the Henry's law constant, which relates the solubility of the gas CO2 in the aqueous solution, [CO2), to the partial pressure of CO2 over the solution, p(CO2): [CO2] (M)= Kn · p(CO2) (atm) During the preceding decades, the atmospheric...
3. (40 pts total) Eigenvalues of Systems of Equations Application: Series RLC Circuit, Natural, or Transient Response (Remember EE280, maybe not) M SR v(t) Consider a series RLC circuit, with a resistor R, inductor L, and capacitor C in series. The same current i(t) flows through R, L, and C. The switch S1 is initially closed and S2 is initially open allowing the circuit to fully charge. At t=0 the switch S1 opens and S2 closes as shown above. Solving...
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