Fundamentals of Physics - high school - math problems
Number of problems found: 100
- Rocket start
The body launched vertically up returns to the start site in 6 seconds. What height did it have?
- Free fall
How long does the stone fall freely into a depth of 80m? What speed will it hit the bottom of the abyss?
- Free fall
The free fall body has gone 10m in the last 0.5s. Find the body speed at the moment of impact.
A circuit has an input power of 58 mW. Its output power is 6 mW. What is the loss in decibels?
The boy pushes the wheelchair with a force of F1 = 20N. The wheelchair exerts a force of F2 on the boy. How large is this force?
By what percentage does the sound intensity increase if the sound intensity level increases by 1 dB?
Locomotive pulled a train permanent load of 200 kN horizontally along the track of 5km. What work it done?
Determine the resistance of the bulb with the current 200 mA and is in a regular lamp (230V).
The car accelerates at rate 0.5m/s2. How long travels 400 meters and what will be its speed?
Flywheel turns 450 rev/min (RPM). Determine the magnitude of the normal acceleration of the flywheel point which are at a distance of 10 cm from the rotation axis.
- Train 2
The train slowed down from 90 km/h to 72 km/h in 5 seconds. How long track travel?
Shot with a mass 43 g flying at 256 m/s penetrates into the wood to a depth 25 cm. What is the average force of resistance of wood?
- The projectile
The projectile was fired horizontally from a height of h = 25 meters above the ground at a speed of v0 = 250 m/s. Find the range and flight time of the projectile.
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 ms-2)
Please calculate using Pascal's law. The window of the diving helmet has a surface content of about 7dm2. Calculate what pressure force acts on the window at a depth of 20 meters below the water surface.
- Circular motion
Mass point moves moves uniformly in a circle with radius r = 3.4 m angular velocity ω = 3.6 rad/s. Calculate the period, frequency, and the centripetal acceleration of this movement.
- Skid friction
Find the smallest coefficient of skid friction between the car tires and the road so that the car can drive at a 200 m radius at 108 km/h and does not skid.
At what horizontal distance reaches the car weight m = 753 kg speed v = 74 km/h when the car engine develops a tensile force F = 3061 N. (Neglect resistance of the environment.)
The braking efficiency of a passenger car is required to stop at 12.5 m at an initial speed of 40 km/h. What is the acceleration braking by brakes?
- Harmonic oscillator
Calculate the total energy of a body performing a harmonic oscillating motion if its mass is 200 g, the amplitude of the deflection is 2 cm and the frequency is 5 Hz. Round the result to 3 decimal places.