Projectile in Motion

A projectile is fired from the edge of a cliff 125 m above the ground level with the speed of 65.0 m/s at an angle of 37.0° with the horizontal. [a] Determine the time taken by the projectile to hit the point P on the ground level [b] Determine the range X of the projectile as measured from the ...

Cellular Phone vs. Microwave Oven

The average output power of a GSM cellular phone is 1.0W when it is "ON". The phone can be treated as a point source of E-M waves emitting spherical waves. (a) Calculate the intensity and peak electric field E(max) of the phone's E-M waves in your brain, which is about 5.0cm away from the phone ...

High-Powered Laser Beam

A high power laser providing a nearly collimated beam with an average of 50 KW is used recently by the US Army as a weapon to shoot down a drone 3.6 km away. The laser beam diameter on the target is about 0.25-m after propagating such a distance. (a) Find the average intensity at the target. (...

Parameters of a Transformer

An ideal step-down transformer is used to convert the AC voltage from the power line at 120V to 5.0V in an adapter for your laptop computer. (a) The primary coil has 2000-turns, how many turns are in a secondary coil? (b) If the average power consumption of your laptop is 80W, what is the averag...

RLC Values in an AC Circuit

A series RLC circuit has R=150 ohm, L=500 mH, C=30 uF is connected to a signal generator, whose output frequency is adjusted to 100 Hz and the averaged output voltage is 10.0V (a) Calculate the impedance Z of the circuit; (b) Find the voltage on each element measured by a voltmeter. (c) Calculate th...

Inductive Circuit Analysis

A 400-turn solenoid is 25-cm long and 3.0-cm in diameter. (a) What is the inductance of the solenoid? (b) The solenoid is then connected a circuit as shown in the figure, where e0=24.0V, R1=6.0ohm, R2=4.0ohm, R3=8.0ohm. Find current I1, I2 and I3 immediately after the switch is first closed. ...

Ohm's Law Problems

Table 1. Resistor values for stated value and measured value for R1 and R2 in Ohms. R1 (Ω) R2 (Ω) Stated Value 360 180 Measured Value 362 184 Table 2. Measured Currents and Voltages for series and parallel configuration with calculated resistances. Configuration I (mA) I1 (mA) I2 (m...

Capacitor Charge and Change in Dielectric

An air-filled capacitor is connected across a 200-V voltage source. a) If the air-gap between the two plates is 0.5 mm and the area A of the plates is 0.2 m^2, what is the capacitance? b) After the source fully charges the capacitor, the capacitor is immersed in transformer oil, whose dielect...

Comparisons of Resistance

The instructions for an electric hedge clipper suggest that a 20-gauge cord with a cross-sectional area of 5.2 x 10-7m2 extension cord can be used for distances up to 35m, but a thicker 16-gauge with a cross-sectional area of 13 x 10-7m2 cord should be used for longer distances, to keep the resistan...

Kinematics: Moving Elevator Question

An elevator at a construction site moves upward with a velocity of v = 6 ft/s. At the instant shown, the floor of the elevator is at a height of y = 120 ft above the ground when a pebble is dislodged from the floor. Find the position of the floor of the elevator when the pebble strikes the g...

Second derivative at the point of stable equilibrium

To insure a point of stable equilibrium, the necessary and sufficient conditions on the potential energy of a physical system, U = U(x), are that dU/dx = 0. What does the second derivative at that point have to be?

Finding the total charge on a semicircular disk

Please see the attached file for full problem description 6. You have a flat, semi-circular (half) disk of radius a in the x-y plane. (Like a DVD that has been chopped in half) It has a nonuniform charge density (sigma = sigma0cos(phi) (where phi is the usual azimuthal angle in the x-y plane, a...

Electric potential energy: Work and Total Energy

4. A very crude model for a neutral water molecule is shown in the figure, a negative "O" and two positive "H's". The geometry has been simplified to make the math easier. As usual, assume V(infinite)=0. b) If you bring in a positive test charge (q') from infinite to the origin (the point midway ...

Uniform charge density over a surface

3. The figure show an edge-on view of a surface (in the middle) with some surface charge density sigma on it. The E-field just above the surface is E = +2z[N/C]. Just below the surface it is E = -2z[N/C] What is the charge density sigma on the surface?

Vectors: Magnitude and Angles

Two vectors lie in the xy-plane. Vector 1 has a magnitude of 3.00 m and makes an angle with the x-axis of 32.0 degrees when measured counterclockwise from the +x-direction. Vector 2 has a magnitude of 6.00 m and makes an angle of 145 degrees when measured counterclockwise from the +x-direction. Find...

Significant Figures and Boat Travel Distance

See the attachment. 1. 0.00325 x 10-8 cm equals A. 3.25 x 10-12 mm B. 3.25 x 10-11 mm C. 3.25 x 10-10 mm D. 3.25 x 10-9 mm 2. You measure the length and width of a rectangle to be 1.125 m and 0.606 m, respectively. You calculate the rectangle's perimeter by adding these and multiplying...

dynamics and inertia

The vehicle s used to transport supplies to and from the bottom of the 25-present grade. Each par of wheels one at A and the other at B has a mass of 140 kg with a radius of gyration of 100 mm. The total mass of the vehicle s 520 g. The vehicle is released from rest with a restraining force T of 500...

Analyze the motion of a symmetric top thrown in air

Problem: Analyze the motion of a symmetric top (I_1=I_2>I_3) thrown into air. (a) First assume the top is thrown with initial angular velocity w_0 along the axis of I3 and initial linear velocity v_0. What are the total kinetic energy and the total angular momentum? (b) Next, throw the top int...

Gravitational force net

A 21.0 kg sphere is at the origin and a 5.00 kg sphere is at (x,y) = (20cm,0cm). At what point can you place a small mass, such that the net gravitational force on it, due to the sphere's is zero?

Momentum, Impulse, and Collisions

Starting at t= 0, a horizontal net force F = (0.280 N/s)ti + (-0.450 N/s^2)t^2j is applied to a box that has an initial momentum p= (-3.00 kg.m/s)i + (4.00 kg.m/s)j. What is the momentum of the box at t= 2.00s?

Physics Problem: Static and Kinetic Friction

The coefficients of static and kinetic frictions for plastic on wood are 0.50 and 0.40, respectively. How much horizontal force would you need to apply to a 3.0 N plastic calculator to start it moving from rest?

Axial Strain: Example Questions

Strain gauges are devices used to measure axial strain in a given direction. Assuming that you can attach as many string gauges as you wish (i.e. measure the strain in as many directions as you wish) at a point: a) Can you measure all of the components of strain in the 3D strain matrix? Explain. ...

Simple Harmonic Motion: Springs in series combination.

See attached file. In Fig. 15-36, two springs are joined and connected to a block of mass 0.245 kg that is set oscillating over a frictionless floor. The springs each have spring constant k=6430 N/m . What is the frequency of the oscillations?

Force Exerted for Constant Velocity of a Truck

You can push a 335 N trunk up a 20.0° inclined plane at a constant velocity by exerting a 209 N force parallel to the plane's surface. What force must be exerted on the trunk so that it would instead slide down the plane with a constant velocity? _____N

Force and change in height and amount of shear deformation

A lead brick with the dimensions shown in the figure below (6.0 cm left to right, 5.0 cm front to back and 2.0 cm top to bottom) rests on a rough, solid surface. A force of F = 2300 N is applied as indicated, with θ = 29°. (a) Find the change in height of the brick. _____m (b) Find the am...

Physics - Application of Bernouli's Theorem

An airplane has an effective wing surface area of 16 m2 that is generating the lift force. In level flight the air speed over the top of the wings is 136 m/s, while the air speed beneath the wings is 129 m/s. What is the weight of the plane?(density of air 1.29 kg/m3 )

Pressures problems are featured.

1.) The water in the tank is at a guage pressure of 216,302 Pa If the bottom of the tank has an area of 0.6m^2 what is the force on the bottom of the tank. 2.) A Viewing window in an aquarium is 62 inches wide and 56 inches high. If the average pressure inside the water tank is 16psi. What is...

Magnitude of a Mass Submerged in Water

1. A mass is hung on a scale and while hanging the mass is submerged in water. The scale read .45 kg when submerged. When the mass is submerged the water displaced is 100 cm^3. What is the magnitude of the mass? 2. A car with windows closed floats in water when 50% submerged. If 1 m^3 of water se...

Finding Force: Block on Inclined Plane Example

A block is on an inclined plane. There is a horizontal force on the block. The block is at rest. There is a certain coefficient of friction. a) find force (magnitude and direction) b) find normal force exerted on the block by the plane Given: you can give the block a mass of 5.00 kg an a...

Elasticity of liquids

A moonshiner produces pure ethanol (ethyl alcohol) late at night and stores it in a stainless steel tank in the form of a cylinder 0.320m in diameter with a tight-fitting piston at the top. The total volume of the tank is 260L. In an attempt to squeeze a little more into the tank, the moonshiner pi...