Fundamentals of Physics - math word problems - page 33 of 48
Number of problems found: 953
- Sphere floating
Will a hollow iron ball float with an outer diameter of d1 = 20cm and an inside diameter of d2 = 19cm in the water? The iron density is 7.8 g/cm³. (Instructions: Calculate the average sphere density and compare it with the water density. ) - Iceberg
What is the surface area of a 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg? - Two Trains Meeting Time Distance
A train travels from station A to station B at a speed of 90 km/h. Another train travels from station B to station A at a speed of 45 km/h. The distance between the stations is 60 km. They leave at the same time. How long will they meet and at which kilom - Atmospheric
Air pressure decreases with increasing altitude (at constant temperature) by approximately 1.2% per 100m. At sea level, i.e., a normal atmospheric pressure of approximately 1,000 hPa is assumed. The altitude of Lomnický štít is approximately 2,600 meters. - Friction coefficient
What is the weight of a car when it moves on a horizontal road at a speed of v = 50 km/h at engine power P = 7 kW? The friction coefficient is 0.07 - Prism Box Force Weight
We turn the prism-shaped box with a height of 1 m and a square base with an edge of 0.6 m under a force of 350 N, which acts horizontally compared to the upper edge. What is the weight of the box? - Steering wheel torque
What force does the driver exert when turning on the steering wheel if the steering wheel diameter is 35 cm and the torque is 3.5 N. M? - Gravitation
From the top of the 80m high tower, the body is thrown horizontally with an initial speed of 15 m/s. At what time and at what distance from the foot of the tower does the body hit the horizontal surface of the Earth? (use g = 10 m/s²) - Collision of a Ball with a Cart
A cart filled with sand has a mass of m₁ = 100 kg and moves in a straight line on a horizontal surface at a constant velocity of v₁ = 1 m/s. Coming from the opposite direction, a ball of mass m₂ = 2 kg flies at v₂ = 70 m/s, strikes the cart, and embeds it - Centroid - two bodies
A body is composed of a 0.8 m long bar and a sphere with a radius of 0.1m attached so that its center lies on the longitudinal axis of the bar. Both bodies are of the same uniform material. The sphere is twice as heavy as the bar. Find the center of gravi - Rocket start
The body launched vertically up returns to the start site in 6 seconds. What height did it have? - Raindrops
The train is moving at a speed of 60 km/h. Raindrops falling vertically in the absence of wind (with uniform movement due to the action of air resistance) leave traces on the windows of the train, deviating from the vertical direction by 30°. How fast are - Athletic competition
In a 400-meter athletic competition, a participant covers the distance given below. Find the average speed. first 80 meters 10 m/s next 240 meters 7.5 m/s last 80 meters 10 m/s - Brick density calculation
Jeníček weighed a broken piece of brick and found that it weighed 48 grams. Using a measuring cylinder, he determined its volume at 30 cm³. What is the density of the brick? - Calories 2
Ben eats approximately 2400 calories per day. His wife Sarah eats 5/8 as much. How many calories does Sarah eat per day? - Power input
The construction lift lifted a 300 kg load to a height of 12 m with uniform movement. If the efficiency is 75% and the engine has a power input of 5 kW, how long did it take for the load to be lifted? - Balance Scales Immersed Bodies
At the end of one arm of the equilibrium scales, which are in equilibrium, a lead body with a volume V1 is suspended in the air. At the end of the other arm is an aluminum body with a volume of V2. The balance arms have sizes l1 and l2, lead density h1 = - Constant motion
The car has undergone constant motion, traveling 120 km in 1 hour and 30 minutes. Determine its average speed. Also, determine how long the car drove in the first 20 minutes and 50 minutes after starting the move. - Foot area
Which animal will leave a deeper footstep: an elephant weighing 5 tons with a total foot area of 0.5 square meters, or a gazelle weighing 10 kg and a foot area of 50 cm square? - Wave parameters
Calculate the speed of a wave if the frequency is 336 Hz and the wavelength is 10 m.
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