Fundamentals of Physics - math word problems - page 32 of 50

Number of problems found: 985

Cyclists and walkers
A group of tourists started at 8:00 at a speed of 4 km/h walk. At 10:30, another group started on a bike and caught up with a group of tourists at 10:50. What was the average speed of cyclists?
A hammer
A hammer weighing 500 g hits the nail at a speed of 3 m/s. What is the average force acting on the nail, which penetrates the board to a depth of 5 cm?
Energy on impact
A stone weighing 200 g falls in a free fall for 3 s. Find its kinetic energy on impact.
Aircraft kinetic energy
The 150t aircraft takes off at a speed of 288 km/h and, after a while, reaches a speed of 900 km/h. Determine the change in the kinetic energy of the aircraft.
Kinetic energy
A car traveling at a speed of 25 km/h increased the speed to a) 75 km/h b) 100 km/h when exiting the highway. How many times has its kinetic energy increased?
Hammer fall height
From what height does a hammer weighing 200 kg fall if its initial potential gravity was 6 kJ?
The elevator
The elevator car weighing 400 kg rises from the third to the fifth floor. By what value will the potential gravitational energy of the cabin increase? What useful work will the elevator motor do? The height of one floor is 5 m.
Gravitational potential energy
We lift a weight of 2 kg to a height of 50 cm above the top of the table. Determine its gravitational potential energy: a) relative to the tabletop, b) relative to the floor if the table top is 1 m above the floor.
Where and when
The truck left Kremnica at 11:00 h at a speed of 60 km/h. At 12:30 h, the passenger car started at an average 80 km/h speed. How many kilometers from Kremnica will the passenger car reach the truck, and when?
Positional energy
What velocity in km/h must a body weighing 60 kg have for its kinetic energy to be the same as its positional energy at the height of 50 m?
Floating of wood - Archimedes law
Wooden balsa block has a density of 200 kg/m³ and a volume of 0.02 m³ floating in alcohol. Alcohol density is 789 kg/m³. What will be the volume of the floating part of a balsa block?
Cyclist speed observation
The observer sits in a room 2 m from a 50 cm wide window. A road runs parallel at a distance of 500 m. What is the cyclist's average speed on this road when the observer sees him at 15 seconds?
Propeller
The aircraft propeller rotates at an angular speed of 200 rad/s. A) What is the speed at the tip of the propeller if its distance from the axis of rotation is 1.5 m? B) What path does the aircraft travel during one propeller revolution at a speed of 540 k
Sparklers
Roman lit his 10 equally-sized sparklers one by one on New Year's Eve. He lit the first one. When only one tenth of it remained, he lit the second one; when only one tenth of that remained, he lit the third, and so on. The sparklers burn at a constant rat
Acceleration of point
The mass point moves evenly along a circle with a radius of 1.2 m at an angular velocity of 25 rad/s. Determine the frequency, period, and centripetal acceleration!
Press force calculation
The oil pressure in the press is 20 MPa and has area S = 15 dm². Calculate the amount of force that lifts the piston.
Kinetic energy calculation
A boy weighing 50 kg moves horizontally by 10 m. What is his kinetic energy at a speed of 1 m/s?
Positioning energy increase
A boy weighing 50 kg moves horizontally by 10 m. How much has his positioning energy increased?
Voltmeter range
We have a voltmeter that, in its original setting, measures up to 10 V. Calculate the resistance of the series resistor (multiplier) needed to extend the range to 50 V. The voltmeter's internal resistance is 2 kΩ/V.
The tourist
The tourist traveled 78 km in 3 hours. Part of the journey went on foot at 6 km/h, the rest of the trip by bus at 30 km/h. How long did he walk?

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