Physics Latex

What is the electric field precisely halfway between two 0.001-coulomb charges spaced 1 meter apart? (Assume the electric constant is \(9 \times 10^9\) when using units of newtons, coulombs, and meters.)

The circuit below contains two resistors, \(R_1\) and \(R_2\), with current \(I_1\) flowing through \(R_1\) and current \(I_2\) flowing through \(R_2\). If \(R_1\) is 100 ohms, \(R_2\) is 500 ohms, and \(I_1\) is 0.04 amps, what is \(I_2\)?

A 5.0-volt battery delivers 0.020 amps to a resistor. What is the resistance of the resistor?

What is the electric field \(3.0 \times 10^2\) meters from a \(5.0 \times 10^{-3}\) -coulomb charge? (Assume the electric constant is \(9 \times 10^{9}\) when using units of newtons, coulombs, and meters.)

If 0.2 amps are flowing through a 1,000-ohm resistor, what is the voltage across that resistor?

An object carrying 5.00 coulombs of charge exerts 12,500 newtons of force on an object carrying 10.0 coulombs. How far apart are the objects? (Assume the electric constant is \(9 \times 10^9\) when using units of newtons, coulombs, and meters.)

What voltage is necessary to deliver 0.40 amps to a \(2.5 \times 10^3\)-ohm resistor?

What is the magnitude of the attractive electric force, in newtons, that an object with a charge 5.0 C exerts on another object with a charge –8.0 C that is \(1.2 \times 10^2\) meters away?

A 100-ohm resistor has a current of 0.01 amps flowing through it. What is the voltage across the resistor?

A 100-watt light bulb runs off a 120-volt source. If 0.83 amps flow through the bulb, what is its resistance?

The circuit below contains two resistors, \(R_1\) and \(R_2\), with current \(I_1\) flowing through \(R_1\) and current \(I_2\) flowing through \(R_2\). If \(R_1\) is 100 ohms, \(R_2\) is 500 ohms, and the voltage across \(R_1\) is 10 V, what is the voltage across \(R_2\)?

The friction force in newtons on a certain type of sliding block is 0.050 times the block’s mass in kilograms. What is the minimum horizontal force that must be applied to slide a 230-kilogram block?

A satellite is \(6.7\times10^6\) meters from the center of Earth. If it maintains a circular orbit, what is its speed? (The acceleration due to gravity is 9.8 \(ms^2\).)

Which explanation best describes why individuals restrained on a spinning theme-park ride feel like they are being forced outward from the center of rotation?

A particle in uniform circular motion has an angular frequency of \(7.06\times10^4\) hertz. What is its period?

A roller-coaster car reaches a circular portion of the track at a speed of 16.0 meters per second. If the circle has a radius of 22.5 meters and the car maintains its speed all the way around, what is its acceleration toward the center of the circle?

A particle moves at a constant speed on a circular path at a frequency of 25 hertz. If the radius of the circle is 14 meters, what is the particle’s speed?

A plane is flying at a constant speed on a circular path as the pilots wait for permission to land. If a 65-kilogram passenger feels a centrifugal force of 25 newtons, what is the plane’s centripetal acceleration?

Which set of information about an object in uniform circular motion is sufficient to determine the object’s velocity?

To avoid tipping, a 4,500-kilogram truck must avoid exceeding 11,000 newtons of force on its side. When driving on a circular off ramp of radius 25 meters, what is the truck’s maximum safe speed?

An object moving in uniform circular motion has a speed of 12 meters per second and is 1.5 meters from the center of motion. How long will it take to go fully three times around?

A man is pushing a 64-kilogram cart horizontally with a force of 80 newtons. If the friction force is 32 newtons, what is the cart’s acceleration?

An object in uniform circular motion with a radius of 42 meters has an angular frequency of 0.29 hertz. What is its velocity?

What is the angular frequency of an object that goes once around a circular path every 25.0 seconds?

An asteroid completes a circular orbit around a planet every \(3.6\times 10^5\) seconds. If it is \(8.7\times 10^6\) meters from the center of the planet, what is its centripetal acceleration?

A 75-kilogram passenger on a rotating theme-park ride experiences a centripetal force of 230 newtons. If she is 12 meters from the center of rotation, what is her velocity?

An electron in a magnetic field moves in a circle of radius 0.030 meters. If the angular frequency of its rotational motion is 2,400 hertz, what is its velocity?

Which parameter of uniform circular motion can vary independently of the other three?

What is the mass of a student who jumps off the 3.0 m high bleachers after the school team wins the state championship if that student’s potential energy was 1900 J?

What is the gravitational attraction force between the space shuttle (2,031,000 kg) and the Hubble Space Telescope (11,110 kg) when they are 50.0 m apart?

What force must be applied for 3.00 s by the brakes of a bicycle/rider of mass 79.24 kg moving at 8.94 m/s to stop?

A roller coaster car loaded with riders has a mass of 1490 kg. The car reaches its top speed of 26.8 m/s at the bottom of the first hill (along ground level). What was the height of the previous hill?

A freight car has a momentum of 300,000 (kg·m)/s while moving along a frictionless, level railroad track with a constant speed of 15 m/s. What is the mass of the freight car in kg?

What two factors determine an object’s kinetic energy?

If a boulder falls off a 65 m high cliff, at what height, in meters, does the boulder have zero potential energy?

What is the velocity of a 70 kg runner with a momentum of 700 (kg·m)/s?

What is the velocity, in m/s, of a 3 kg ball that is rolling with 6 J of kinetic energy?

A track and field athlete holds a shot put of mass 7.3 kg at chin level 1.5 m above the ground. How much potential energy does the shot have? (Use g = 9.8 \(m/s^2\))

What is the mass, in grams, of an arrow shot at 101 m/s if a bale of hay imparts 12 N of force during the 0.20 s it takes to halt the arrow?

At what separation distance do the 2,031,000 kg space shuttle and the 11,110 kg Hubble Space Telescope experience a 10.0 N force of gravitational attraction?

If two sailboats have the same momentum but sailboat A has twice the mass of sailboat B, how do the velocities of the sailboats compare?

What is the force of gravitational attraction, in newtons, between Mars (\(6.39 \times 10^{23} k\)g) and its inner moon Phobos (\(10.6 \times 10^{15}\) kg) \(6.00 \times 10^6\) m away?

What is the height above ground of a 55 g egg that possesses 0.27 J of potential energy?

What is the mass of a student’s phone, in grams, if a pillow on the floor provides 7.71 N in 0.100 s while reducing the falling phone’s speed from 4.43 m/s to rest?

For how long must a catcher’s mitt exert a 23 N force on a 142 g baseball traveling at 40.23 m/s?

What is the momentum of a golf ball with a mass of 45.9 g moving at 81 m/s in (kg·m)/s?

What is the kinetic energy of a 3.0 kg programmable robot that moves at 4.0 m/s?

What is the mass of a roller coaster car that has 200,000 J of kinetic energy while moving at a speed of 20 m/s?

What is the acceleration of a 9.7-kilogram object moving at a velocity (2.3, 8.9) meters per second and subject to a net force of (3.2, –1.8) newtons?

A catapult flings a rock straight up from ground level with an initial velocity of 32 \(\frac{m}{s}\). How long will the rock take to return to the ground? (The acceleration due to gravity is 9.8 \(m/s^2\).)

If an object experiences a northward force of 5.0 newtons and an eastward force of 12 newtons, what is the magnitude of the resultant force?

A train moving on a straight portion of the track has a constant velocity (24, –36) \(\frac{m}{s}\). How far does it go in 25 seconds?

If \(\vec{u} =(2,5)\) and \(\vec{v}=(3,-1)\), what is \(2\vec{u}-3\vec{v}\)?

If vector \(\vec{w}\) is (–3, 8) and vector \(\vec{z}\) is (1, –4), what is \(-2\vec{z}+3\vec{w}\) ?

Vector \(\vec{x}\) has the same length as vector \(\vec{y}\) but the exact opposite direction. What is the resultant \(\vec{x}+\vec{y}\)?

A 2.0-kilogram object experiences a net force of 144 newtons. What is its acceleration?

Vector (2, 6) appears on a graph with its tail at (3, 1). What are the coordinates of its head?

A 3.0-kilogram object moving northward experiences a southward force of 75 newtons. What is its acceleration?

A child throws a ball directly upward from the ground with an initial speed of 45 meters per second. How long will the ball take to return to the ground?

If someone drops a stone from a cliff that is 48 meters high, how long will it take the stone to reach the ground? (The acceleration due to gravity is 9.8 \(m/s^2\).)

A runner finishes a 1,600-meter race in 5 minutes and 20 seconds. What was his average speed?

An object undergoing projectile motion has an initial velocity (22.0, 18.0) in meters per second. Which of the following is the unit vector in the direction of the object’s initial velocity?

A woman pushes a cart horizontally with a force of 120 newtons, causing it to accelerate at 4.8 \(m/s^2\). What is the cart’s mass?

What is the length of a vector that has its head at (1, 3) and its tail at (–2, 7)?

Given vector \(\vec{u}= (–4, 6)\) and scalar a = 3, what is au?

An object experiences two forces (in newtons): (3.0, 6.0) and (–2.0, 1.0). What is the magnitude of the net force on that object?

What is the force in the direction (1.0, 2.0) with a magnitude of 3.5 newtons?

Given any two vectors \(\vec{a}\) and \(\vec{b}\) and any scalar c, which expression is always true?

An object is moving with a velocity (–2.12, 6.37) in meters per second. What is its speed?

A cannonball is fired with an initial vertical velocity of 130 meters per second and an initial horizontal velocity of 450 meters per second. If it hits the ground 12 seconds after it is fired, how far did it travel?

Which vector has a length of 15 and is in the same direction as (4, 3)?

If a seismic wave is traveling at 2,350 feet per second and has a wavelength of 275 feet, what is its frequency?

A physicist is investigating certain electromagnetic waves in a vacuum. If she knows these waves have a frequency of \(10^{12}\) hertz, what can she calculate without further investigation?

An oceanographer has set a post in the water near shore to study waves before a hurricane. If she finds that the waves are 75 feet apart and a trough arrives every 25 seconds, what is the frequency?

If a sound wave in air at a certain temperature and humidity has a frequency of 125 Hz and a wavelength of 9.00 feet, what is its wave speed?

A scientist has measured a sound wave traveling at \(7.2 \times 10^4\) feet per minute at a frequency of \(1.0 \times 10^3\) hertz. What is the wavelength?

What is the period of a wave with a wavelength of 10 miles and a frequency of \(10^5\) hertz?

A ray traveling in air strikes water at an angle of 30.0° from the normal. What will its angle be in the water? (Assume air has a refractive index of 1.00 and water has a refractive index of 1.30.)

Successive troughs of a sound wave arrive through a certain liquid every 0.040 seconds. If they are 100 feet apart, how fast are they traveling?

Light traveling in a clear material of refractive index 2.1 enters air (refractive index 1.0) after hitting the interface between the two at a 15° angle. Which statement describes what the light will do?