Themes, topics - math word problems - page 68 of 168
Number of problems found: 3355
- Rotary motion
Find the orbital time, rotational frequency, and angular rate of the second and minute hands on the watch. - Mass point
Two equal forces of 30 Newtons act on a mass point. Find the magnitude of the resultant force if these forces form an angle of 42°. - Electrostatic
A proton with mass mp = 1.67.10-27 kg and electric charge e = 1.6.10-19 C, whose initial velocity was zero, is acted upon by a homogeneous electrostatic field of unknown intensity E. The proton moves in the direction of the lines of force and on a path s - Separated 38223
What is the intensity of the electric field at a point that lies in the middle between two point charges Q1 = 5.10-5 C and Q2 = 7.10-5 C, which is separated by r = 20 cm? The charges are placed in a vacuum. - Homogeneous 38201
The homogeneous roller weighs 7.36 kg and has a volume of 8 dm³. Use the MFCH tables to select the fluids in which the specified body declining blue, it floats. - Motorbike circuit
On a 2,550 m long circuit, two motorcycles go at such speeds that they meet every minute if they go against each other and run every 5 minutes if they go in the same direction. Find their speeds. - Two ports
Two ships commute along the same route between the ports of Mumraj and Zmatek. They spend negligible time in ports, turn around immediately, and continue sailing. At the same time, a blue ship departs from the port of Mumraj, and a green ship departs from - Interest rate
We borrowed CZK 50,000. The annual interest rate was 6%. We have to repay the entire debt in 5 years. How much will we pay? (use the compound interest relationship). - Installment 38011
We borrowed CZK 150,000 at a monthly interest rate of 2%. Interest is added at the end of each month, and we immediately pay an installment of CZK 30,000. How much will we owe in five months? - Coloured numbers
Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number is divided by blue, it gets the green number is an incomplete proportion, and yellow represents the remainder after this division. When it - Instantaneous 37961
A plane wave has an amplitude u0 = 40 cm and a frequency f = 10 Hz. The speed of wave propagation through the medium is v = 40 cm/s. At a distance x = 10 cm from the starting point, the wave has an instantaneous deflection u = 15 cm. How long does it take - The mountain hut
The mountain hut has a supply of food for eight tourists for 15 days. Half more were come. How long will their food supply last if the daily ratio remains the same? - Constant 37773
Katka left the store with a heavy purchase at a constant speed of 0.5 m/s. Her brother Michal ran to help her at a constant speed of 3.25 m/s. How many meters did Katka have to walk with her shopping before meeting Michal if the store is 300 m from the ho - Squirrels
The squirrels discovered a bush with hazelnuts. The first squirrel plucked one nut, the second squirrel two nuts, and the third squirrel three nuts. Each new squirrel always tore one nut more than the previous squirrel. When they plucked all the nuts from - Earth rotation
How fast is the place on the Earth's equator moving if the Earth's radius is 6378 km? - Cyclist 37661
The cyclist will travel 22 km in an hour and a half. How long would it take to drive 30 km? - Four children
What is the probability that in a family with four children, there are: a) at least three girls b) at least one boy, If the probability of a boy is 0.51? - Interest 37571
We will deposit € 10,500 at the bank at 1.1% interest, and we want to withdraw € 11,000. How many years do we have to wait? Round to 2 decimal places. - Apprentice
The master helped the apprentice complete part of the task, the apprentice completed the rest himself. It turned out that the time needed to complete the task was three times shorter than if the apprentice had completed the task himself. How many times mo - Completely 37433
Find the magnitude of the buoyancy force acting on a body with a volume of 1 dm³ whole immersed: a) in water b) in ethanol.
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