A 20 μF capacitor initially charged to 25 μC is discharged through a 1.5 kΩ resistor. How long does it take to reduce the capacitor’s charge to 10 μC? Answer Calculate the time constant of the circuit. The expression of the time constant of the circuit is expresses as follows, \tau=R C Substitute 1.5 \mathrm{k}
A 2.60 kg box is moving to the right with speed 10.0 m/s on a horizontal, frictionless surface. At t = 0 a horizontal force is applied to the box. The force is directed to the left and has magnitude F(t)=( 6.00 N/s^2)t^2. What distance does the box move from its position at t =
In all parts, consider the following situation. In a baseball game the batter swings and gets a good solid hit. His swing applies a force of 12,000 N to the ball for a time of 0.70×10^-3 seconds. A) Assuming that this force is a constant, what is the magnitude J of the impulse on the
The spring shown in the figure is compressed 57cm and used to launch a 100kg physics student. The track is frictionless until it starts up the 30? incline. The student’s coefficient of kinetic friction on the incline is 0.12. students velocity after spring is 16m/s. k=80000N/m. How far up the incline does the student go?
The acceleration of a baseball pitcher’s hand as he delivers a pitch is extreme. For a professional player, this acceleration phase lasts only 50 ms, during which the ball’s speed increases from 0 to about 90 mph, or 40 m/s. What is the force of the pitcher’s hand on the 0.145 kg ball during this
Assume I=11A Part A: What is the magnetic field B? at point a in the figure?(Figure 1) Give your answer as vector. Express your answer using two significant figures. Part B: What is the magnetic field B? at point b in the figure? Give your answer as vector. Part C: What is the magnetic field
Two parallel plates 0.500 cm apart are equally and oppositely charged. An electron is released from rest at the surface of the negative plate and simultaneously a proton is released from rest at the surface of the positive plate. How far from the negative plate is the point at which the electron and proton pass
A.) What are the charges on plates 3 and 6? B.) If the voltage across the first capacitor (the one with capacitance C_{)} is V^{\prime}, then what are the voltages across the second and third capacitors? C.) Find the voltage { }^{V_{1}} across the first capacitor. D.) Find the charge { }^{Q} on the first
In a science museum, a 110 kg brass pendulum bob swings at the end of a 13.2 m -long wire. The pendulum is started at exactly 8:00 a.m. every morning by pulling it 1.7 m to the side and releasing it. Because of its compact shape and smooth surface, the pendulum’s damping constant is only
Here’s an interesting challenge you can give to a friend. Hold a $1 (or larger!) bill by an upper corner. Have a friend prepare to pinch a lower corner, putting her fingers near but not touching the bill. Tell her to try to catch the bill when you drop it by simply closing her fingers.
Part D. What is Iencl, the current passing through the chosen loop? Express your answer in terms of L (the length of the Ampèrean loop along the axis of the solenoid) and other variables given in the introduction. Part E. Find Bin, the z component of the magnetic field inside the solenoid where Ampère’s law
This graph shows how the vapor pressure of three liquids varies with temperature: Answer Volatility of a liquid is a measure of the tendency of its molecules to escape in the vapor phase. Thus, the compound that has a higher vapor pressure at a given temperature is more volatile, Or in other words, the compound
1.An object is 1.0 cm tall and its erect image is 4.0 cm tall. What is the exact magnification? 2.When using the Lens Equation, a virtual image has a a. positive object distance b. negative image distance c. positive image distance 3.The scale at the bottom of the diagram is calibrated in cm. Find the
a) What is the magnitude of the total field at the point x = 0, z = 1.00 m in the xz-plane? b) What is its direction? Answer The magnetic field due to stright wire is, B=\left[\frac{\mu_{0}}{2 \pi} \frac{i}{r}\right] here, \mu_{0} is the permebility of air or free space, i is the current and r
Find the moment of inertia Ix of particle a with respect to the x axis (that is, if the x axis is the axis of rotation), the moment of inertia Iy of particle a with respect to the y axis, and the moment of inertia Iz of particle a with respect to the z axis
1) An object is 1.0 cm tall and its inverted image is 3.0 cm tall. What is the exact magnification? 2) A ____can be considered as an ultrathin beam of light that travels in a straight line until it meets a reflecting or refracting surface. Answer 1) Use the following formula to find the magnification.
Part A. What is the amplitude of the oscillation shown in (Figure 1) ? Part B.What is the frequency of the oscillation shown in the figure? Part C. What is the phase constant of the oscillation shown in the figure? Suppose that ?180? ? ?0 ?180?. Answer A) Find the amplitude of oscillation as follows:
1) A neon lamp produces what kind of visible spectrum? 2) The particle of light emitted when at atom changes from a higher energy level to a lower energy level is called 3) The wavelength of blue light is greater than red light and its energy is greater. True or False? 4) In the grating
Part A What is the magnitude of the torque on the current loop in the figure(Figure 1) ? Part B What is the loop’s equilibrium orientation? Answer (A) The expression for magnetic flux density of the wire is, B=\frac{\mu I_{n}}{2 \pi r} \sin 90^{\circ} =\frac{\mu I_{w}}{2 \pi r} =\frac{\left(4 \pi \times 10^{-7}\right)(2 \mathrm{~A})}{2 \pi(0.02 \mathrm{~m})}
Shows the angular position of a potter’s wheel. A.) What is the angular displacement of the wheel between t = 5 s and t = 15 s? Express your answer in radians. B.) What is the angular velocity of the wheel at 15 s? Express your answer in radians per second. C.) What is the
In the following figure, what is the value of the potential at points a and b? (Figure 1) Express your answer using two significant figures separated by a comma. Answer According to Kirchhoff’s voltage law, the current flow through the circuit is, 9-2 I-6-I=0\\ 3 I =3 \\ I =1 \mathrm{~A} The potential at point
What is the x-component of the velocity (in m/s) for the object having the x(t) graph shown above? 2 Answers When taking the graphinto sonsideration we make the table values Postion Time 0.1 6 0.5 5 0.8 4 1.1 3 1.4 2 1.7 1 2 0 Taking the velocity fromthe change in position and changein
A 2.0-cm-tall candle flame is 2.0 m from a wall. You happen to havea lens with focal length of 32 cm. A. How many places can you put the lens to form a well-focused imageof the candle on the wall? B. For each position, what is the height and orientation of theimage? Answer A. Take
A pipe discharges storm water into a creek. Water flows horizontally out of the pipe at 1.5 m/s, and the end of the pipe is 2.5 m above the creek. How far out from the end of the pipe is the point where the stream of water meets the creek? Answer Step 1 Calculate the
A capacitor consists of two 6.4-cm -diameter circular plates separated by 1.0 mm . The plates are charged to 130 V , then the battery is removed. How much energy is stored in the capacitor? How much work must be done to pull the plates apart to where the distance between them is 2.0 mm