Physics
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Gravitation
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Motion in a Plane
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Thermal Properties of Matter
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Q. A beam of length 4 m and uniform cross-section is subjected to a bending moment of 200 Nm. If the moment of inertia of the beam's cross-section is 1e-6 m⁴, what is the maximum bending stress?
Q. A boat can travel at a speed of 20 km/h in still water. If it takes 2 hours to go upstream and 1 hour to return downstream, what is the speed of the current?
Q. A bus travels at a speed of 50 km/h. How long will it take to travel 200 km?
Q. A car accelerates from rest at a rate of 2 m/s². How far does it travel in 10 seconds?
Q. A car does 1200 J of work in moving a distance of 30 m. What is the force applied?
Q. A car travels 60 km in 1 hour and then 90 km in 1.5 hours. What is the average speed of the car for the entire journey?
Q. A car travels 60 km in 1 hour. How far will it travel in 2.5 hours at the same speed?
Q. A cyclist travels 30 km at a speed of 15 km/h. How long does it take to complete the journey?
Q. A cyclist travels 60 km in 2 hours. What is his average speed?
Q. A cylindrical rod of diameter 20 mm and length 1 m is subjected to a compressive load of 100 kN. Calculate the compressive stress in the rod.
Q. A fluid flows through a pipe with a diameter of 0.1 m at a velocity of 2 m/s. What is the flow rate?
Q. A fluid has a density of 850 kg/m³. What is the weight of 2 m³ of this fluid?
Q. A liquid has a surface tension of 0.072 N/m. What is the force acting on a 0.1 m long line on the surface of the liquid?
Q. A machine does 2400 J of work in 8 seconds. What is its power in watts?
Q. A man runs at a speed of 10 m/s. How far will he run in 30 seconds?
Q. A material has a Poisson's ratio of 0.3. If it is stretched in one direction, what is the ratio of lateral strain to longitudinal strain?
Q. A material has a yield strength of 250 MPa and a tensile strength of 400 MPa. What is the percentage elongation at fracture if the material is ductile?
Q. A person can do a piece of work in 12 days. How much work can he do in 3 days?
Q. A person walks 4 km north and then 3 km east. What is the straight-line distance from the starting point to the endpoint?
Q. A person walks 5 km in 1 hour. If he increases his speed by 1 km/h, how long will it take him to walk 10 km?
Q. A plane flies from City A to City B, a distance of 1200 km, at a speed of 400 km/h. How long does the flight take?
Q. A pump can fill a tank in 4 hours. How long will it take to fill the tank if two pumps are used?
Q. A runner completes a 400 m lap in 50 seconds. What is the runner's speed in m/s?
Q. A steel rod of length 2 m and cross-sectional area 10 mm² is subjected to a tensile force of 50 kN. What is the elongation of the rod? (Young's modulus of steel = 200 GPa)
Q. A tank is filled with water to a height of 5 m. What is the hydrostatic pressure at the bottom of the tank?
Q. A train leaves a station and travels at a speed of 80 km/h. How long will it take to cover 320 km?
Q. A vehicle travels 120 km in 2 hours and then 180 km in 3 hours. What is the overall average speed?
Q. A wire of length 3 m and diameter 2 mm is stretched by a load of 100 N. Calculate the tensile strain if the Young's modulus of the wire is 200 GPa.
Q. A worker can complete a job in 8 hours. If he works for 3 hours, what fraction of the job is completed?
Q. According to Kirchhoff's Current Law (KCL), what is the sum of currents entering a junction?