Fundamentals of Physics - practice problems
Fundamentals of physics in a mathematics context covers the mathematical tools and concepts essential for understanding physical phenomena. Topics include kinematics (motion equations), dynamics (Newton's laws), energy and work calculations, momentum, circular motion, and wave mechanics. Students learn to apply algebra, trigonometry, vectors, and calculus to physical situations. Mathematical modeling translates physical scenarios into equations that can be solved and analyzed. Units, dimensional analysis, and significant figures ensure accurate calculations. Understanding graphs of motion (position, velocity, acceleration vs. time) develops analytical skills. These fundamentals prepare students for advanced physics courses and demonstrate how mathematics serves as the language of physical science.Number of problems found: 950
- Temperature in Portland
On Sunday afternoon the temperature in Portland was 2°C. By midnight the temperature had dropped by 8°C. What was the temperature at midnight? - Long train
A 110 m long train crosses a tree in 3 s. How long will it take to cross a 165 m long platform and 135 m long bridge, If the platform and bridge are at a distance of 30 m? - Usual speed If the usual speed is reduced by 5 km per hour, a train takes 2 hours more to cover a distance of 300 km. Find the usual speed.
- Two trains 13 Two trains start at the same time toward each other from stations A and B at respective speeds of 36 km/h and 42 km/h. When they meet, it was found that one train has covered 48 km more than the other. Find the distance between the two stations.
- A boat 4
A boat travels 25 km upstream in 5 hours and 25 km downstream in 2.5 hours. If the boat increased its speed by 3 km/h, it would take 1 hour less to travel the downstream distance. Find the speed of the stream. - Automobil
The car traveled three quarters of the total journey at a speed of 90 km/h and the remaining part of the journey at a speed of 50 km/h. Find its average speed. - A train 3
A train takes 3 hours to go from one station to another station. If its speed is decreased by 12 km/h then the journey time will increase by 45 min. What is the distance between the two stations? - Freezing
A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5°C per hour.What will be the room temperature 12 hours after the process begins? - The first The first 300 km of a journey is covered in 10/3 hours, and the remaining journey is covered in 8/3 hours at 75 km/h. Find the average speed of the whole journey.
- River current
In a river, a man takes 3 hours in rowing 3 km upstream or 15 km downstream. What is the speed of the current? - Two trains 9
A passenger train moving at a speed of 90 km/h leaves a station 6 hours after a goods (freight) train has left the station and overtakes it in 4 hours. What is the speed of the goods train? - The reflection law
AB is a mirror, PQ is the incident ray, and QR is the reflected ray. If angle PQR = 112°, find angle PQA. - A train 2 A train 90 meters long is moving at speed 80 km/h overtakes a second train moving at 56 km/h in the same direction and passes completely in 25 1/2 seconds. Compute how long is the second train.
- Parallel tracks Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in
- Mr. Stephan
Mr. Stephan cycled at an average speed of 15 km/h for 10 km. He then cycled another 12 km at an average speed of 18 km/h. Please find the total time taken for his journey. - Two places 3
The distance between two places, A and B, is 90 km. Two cars start together from A and B. If both the cars go in the same direction, they meet after 9 hours, and if they go in opposite directions, they meet after 9/7 hours. Find their speeds. (Assume that - Two persons Two persons are walking beside a railway track at respective speeds of 2 and 4 km per hour in the same direction. A train came from behind them and crossed them in 90 and 100 seconds, respectively. Find the length of the train.
- Bad weather
An aircraft was slowed down during a 600 km flight due to bad weather. Its average speed was reduced by 200 km/hr from its usual speed, and the flight time increased by 30 minutes. Find the scheduled duration of the flight. - The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate? - The intensity
The light intensity on a screen is inversely proportional to the square of the distance between the screen and the light source. If a screen is illuminated by a light source 20 m away, the intensity is one-fifth of what is required. Where should the light
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