Themes, topics - math word problems - page 104 of 174

Number of problems found: 3474

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
Speed of car
In 2 hours 40 mins, a car travels 100 km. At what speed is the car traveling?
Pyramid model
Peter brought back from his vacation in Egypt a model pyramid in the shape of a regular quadrilateral pyramid. He measured that its base edge has a length of 7 cm and the lateral edge has a length of 10 cm. The model has a mass of 1 kg and is made of an u
Reading records
Lucy, Tereza, and Patricia decided to compile the compulsory reading records together. It would take 30 days for Lucy alone, 36 for Tereza, and 45 for Patricia. How long will it take to make records if they will work together?
Cyclist
Cyclist drives 5 km in half an hour. How long will you drive in 3 hours?
Cook on gas
The gas cylinder will last 30 weekends for 2 hours of daily cooking. How many days will we be able to cook on a new cylinder when we cook for 3 hours a day?
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?
Cyclists Average Speed Second
Cyclists drove the first half of the track at an average of 37.5 km/h in 1.4 hours. After the vertebrate, they walked the same distance 6 minutes longer. At what average speed did they drive on the vertebrate?
Uphill and downhill
The cyclist moves uphill at a constant speed of v1 = 10 km/h. When he reaches the top of the hill, he turns and passes the same track downhill at a speed of v2 = 40 km/h. What is the average speed of a cyclist?
Gravitation
From the top of the 80 m 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
Position vector of a point mass
The position vector of a point mass moving in a plane can be expressed in the established reference frame by the relation: r(t) = (t²+ 2t + 1 ; 2t + 1), where t is time in seconds and the vector coordinates are in meters. Calculate: a) What is the positio
Position vector
The position vector of a point mass moving in a plane can be expressed in the established reference frame by the relation: r(t) = (1 + 5t + 2t² ; 3t + 1), where t is time in seconds and the vector coordinates are in meters. Calculate: a) What is the posit
Vectors 5
The position vector of a material point moving in a plane can be expressed in the introduced reference frame by the relation: r(t) = (2t + 3t²; 6t + 3), where t is time in seconds and the coordinates of the vector are in metres. Calculate: a) what is the
Position vector of a point mass
The position vector of a point mass moving in a plane can be expressed in the established reference frame by the relation: r(t) = (6t²+ 4t ; 3t + 1) where t is time in seconds and the vector coordinates are in meters. Calculate: a) What is the position of
Four pavers
Four pavers would pave the square in 18 days. How many pavers do you need to add to the done work in 12 days?
Centroid - two bodies
A body is composed of a 0.8 m long bar and a sphere with a radius of 0.1 m 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 grav
Trip distance calculation
In three days, the students went 65 km on a trip. On the first day, they ran twice as much as on the third day, and on the second day, they ran 10 km less than on the first day. How many kilometers did they cover each day?
Rocket start
A body launched vertically upward returns to its starting point after 6 seconds. What maximum height did it reach?

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