Physics

Use this for “A stone falls from rest for 3 s. How far does it fall, and how fast is it going?”

Use this for “A car at 25 m/s brakes at 5 m/s² to a stop. How far does it go, and how long does it take?”

Use this for “x = 10 − 6t + t². How fast is it moving at t = 5 s, where is it, and when does it turn round?”

Use this for “A ball rolls up a ramp at 12 m/s and slows at 4 m/s². Where is it after 5 s, and how far has it rolled?”

Use this for “A strobe photo shows a runner every second. Is the runner speeding up, slowing down or steady?”

Use this for “A ball rolls off a 45 m ledge at 8 m/s. How long is it in the air, and how far out does it land?”

Use this for “A boat heads straight across a 120 m river at 4 m/s; the current is 3 m/s. How long does it take, and how far downstream does it land?”

Use this for “A ball leaves at 15 m/s, 40° above level. What are its horizontal and vertical velocities?”

Use this for “A 5 kg block slides down a 30° ramp with μₖ = 0.2. What is its acceleration?”

Use this for “A 10 kg sled is pulled with 50 N by a rope 30° above level; μₖ = 0.1. Find the normal force and the acceleration.”

Use this for “A 3 kg lamp hangs from the ceiling of an elevator speeding up at 2 m/s² going up. What is the tension in its cord?”

Use this for “Two dogs pull a 25 kg sled: 60 N east and 80 N north. What is the net force, which way, and the acceleration?”

Use this for “A cork floats still on water. What force balances its weight?” and other questions about balanced forces.

Use this for “A 1,200 kg car takes a 50 m curve at 15 m/s. How much friction does it need, and what is the least μₛ that holds it?”

Use this for “A 2 kg ball on a 1.5 m string swings through the bottom at 3 m/s. What is the tension there?”

Use this for “How hard do Earth (5.97 × 10²⁴ kg) and the Moon (7.35 × 10²² kg), 3.84 × 10⁸ m apart, pull on each other? What if they were twice as far?”

Use this for “A satellite circles Earth (5.97 × 10²⁴ kg) 7 × 10⁶ m from its center. How fast does it go, and how long is one orbit?”

Use this for “A 300 N child sits 2 m from the pivot. Where must a 400 N child sit to balance, and how hard does the pivot push up?”

Use this for “A wheel of radius 0.4 m turns through 135°. What is that angle in radians, and how far does a point on its rim travel?”

Use this for “A wheel of radius 0.30 m turns at 120 rpm. What is its angular speed in rad/s, and how fast does its rim move?”

Use this for “A fan turning at 3 rad/s speeds up at 2 rad/s² for 4 s. How fast is it turning, and how many turns does it make?”

Use this for “A 3 N·m torque turns a 2 kg disk of radius 0.5 m. What is its angular acceleration? What if it were a hoop?”

Use this for “A 1 kg cart at 4 m/s meets a 3 kg cart coming the other way at 2 m/s. They bounce apart elastically. What are their velocities after?”

Use this for “A spring pushes a 1.5 kg cart and a 0.5 kg cart apart from rest. The big cart moves left at 1 m/s. How fast does the small one go, and how much energy did the spring give?”

Use this for “A 0.6 kg cart at 0.5 m/s meets a 0.4 kg cart rolling the other way at 0.25 m/s. The first cart slows to 0.1 m/s. How fast does the other cart move, and how much kinetic energy is lost?”

Use this for “A 0.2 kg ball at 25 m/s bounces straight back at 15 m/s after touching a wall for 0.05 s. What average force acts on it? Why would a softer wall push less hard?”

Use this for “A crate is pulled 15 m across a floor by a 40 N force at 30° above level. How much work does the force do?”

Use this for “A 60 kg student runs up 4.5 m of stairs in 6 s. How much work does she do, and what is her power?”

Use this for “A 600 N load sits 0.4 m from the fulcrum, and you push 1.6 m from it. What is the mechanical advantage, and what effort lifts it?”

Use this for “Four strands hold up an 800 N crate and the pulleys are 80% efficient. What pull lifts it, and how much rope do you pull to lift it 0.5 m?”

Use this for “A 900 N crate is pushed up a 3 m ramp onto a 1 m platform. What is the ideal mechanical advantage and the effort? What if the ramp is 75% efficient?”

Use this for “A spring (k = 400 N/m) pressed 0.15 m launches a 0.5 kg block over 0.5 m of floor with 2 N of friction. How high up the smooth ramp does it go?”

Use this for “Describe the energy changes as a person bounces on a pogo stick (or a trampoline).”

Use this for “A 2 kg mass hung on a spring stretches it 8 cm. What is k, and how much energy does the stretched spring store?”

Use this for “How long is a pendulum that swings once every 2 s? What would its period be on the Moon?”

Use this for “How much heat warms 2 kg of water from 15 °C to 65 °C?”

Use this for “How much heat turns 0.5 kg of ice at 0 °C into steam at 100 °C, and how long does each stage take with a 500 W heater?”

Use this for “A gas takes in 500 J of heat and does 200 J of work pushing a piston out. How much does its internal energy change?”

Use this for “An engine takes in 2000 J from a 600 K source and does 500 J of work. How much heat goes to the 300 K sink, and how efficient is it compared with the most it could be?”

Use this for “A fridge removes 900 J from its 270 K inside using 300 J of work. How much heat reaches the 300 K kitchen, and what are its COP and the best possible COP?”

Use this for “Which law of thermodynamics explains this?”

Use this for “A 0.65 m guitar string carries waves at 286 m/s. What frequency is its first harmonic?”

Use this for “A 0.50 m flute-like pipe is open at both ends. What is its lowest note in 343 m/s air?”

Use this for “A 0.25 m tube is closed at the bottom. What is its lowest note in 343 m/s air, and the next one it can play?”

Use this for “A 700 Hz siren passes you at 25 m/s. What pitch do you hear as it comes and as it goes?”

Use this for “A busy street has a sound intensity of 10⁻⁵ W/m². What is its sound level in decibels?”

Use this for “Is a sound wave transverse or longitudinal?”

Use this for “An object is 24 cm from a diverging lens with f = −12 cm. Where is the image, and how big?”

Use this for “A candle is 45 cm from a concave mirror with f = 15 cm. Where does its image form, and how big is it?”

Use this for “A car is 30 cm from a convex mirror with f = −20 cm. Where is its image, and how big?”

Use this for “Light goes from air into water (n = 1.33) at 40° from the normal. At what angle does it travel in the water, and how fast?”

Use this for “What is the critical angle from glass (n = 1.50) into air? Does light hitting the surface at 50° get out?”

Use this for “Laser light (633 nm) passes two slits 0.25 mm apart onto a screen 2 m away. How far apart are the bright fringes?”

Use this for “Light spreads past a narrow slit and makes bands. Which wave behavior is it?”

Use this for “What is the electric field 0.30 m from a +2 μC charge, and the force on a 1 μC test charge there?”

Use this for “A +4 μC and a −2 μC charge are 0.5 m apart. What is the electric field 0.2 m from the +4 μC charge?”

Use this for “Two plates 3 mm apart have 12 V across them. What is the field between them, and the force on an electron there?”

Use this for “A charged rod is held near a metal can without touching it, and the can rolls toward it. Why?”

Use this for “An electron starts at rest and crosses a 100 V potential difference. How much energy does it gain, in eV and in joules, and how fast does it go?”

Use this for “A 470 μF capacitor is charged to 9 V. How much charge does it hold, and how much energy does it store?”

Use this for “Two 0.01 m² plates sit 1 mm apart in air. What is the capacitance, what charge does 12 V put on it, and how strong is the field?”

Use this for “A 12 V battery drives 10 Ω and 20 Ω in series. What does the ammeter read, and what is the voltage across each?”

Use this for “40 Ω, 60 Ω and 120 Ω are in parallel on 24 V. Find each branch current, the total current and the equivalent resistance.”

Use this for “24 V drives R₁ = 4 Ω in series with 6 Ω and 12 Ω in parallel. Find the total current, the voltage across R₁ and each branch current.”

Use this for “A lamp on 120 V draws 0.5 A. What is its power and resistance, and how much energy does it use in 2 hours?”

Use this for “A 200-turn coil of area 0.02 m² sits in a field that grows from 0.1 T to 0.5 T in 0.1 s. What emf is induced?”

Use this for “A 0.25 m wire carrying 5 A crosses a 0.40 T field at 90°. What force acts on it? What if the angle is 30°?”

Use this for “A 5 μC charge moves at 400 m/s across a 0.3 T field. What force acts on it? What if it moves at 30° to the field?”

Use this for “A proton moves at 3 × 10⁶ m/s square to a 0.2 T field. What force acts on it, what is the radius of its circle, and how long is one lap?”

Use this for “A transformer steps 120 V down with 400 primary turns and 20 secondary turns. What voltage comes out, and what current if 0.1 A goes in?”

Use this for “A generator turns. What energy change happens, and why does it make a current?”

Use this for “One magnet is turned round. How do the size and direction of the force change?”

Use this for “An electron in hydrogen drops from n = 3 to n = 2. What are the photon’s energy and wavelength?”

Use this for “Light of 250 nm falls on a metal with a work function of 2.3 eV. What is the most kinetic energy an electron can leave with? What is the threshold wavelength?”

Use this for “A spaceship passes at 0.6c. A clock on board ticks 10 s. How long does that take as we see it? How long is the 100 m ship to us?”