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Questions and Answers
If a car accelerates uniformly from rest to a speed of 20 m/s in 10 seconds, what is its acceleration?
If a ball is thrown vertically upwards with an initial velocity of 30 m/s, what is the maximum height it reaches?
If a copper block of mass 500 g is heated from 20°C to 80°C, and the specific heat capacity of copper is 0.39 J/g°C, how much heat is absorbed by the block?
If a refrigerator consumes 500 J of energy to remove 150 J of heat from its interior, what is its coefficient of performance?
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If a pendulum oscillates with a period of 2 seconds, what is its frequency and angular frequency?
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If a wave travels through a medium with a frequency of 500 Hz and a wavelength of 0.2 m, what is the wave speed?
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Study Notes
Mechanics
- A car accelerates uniformly from rest to 20 m/s in 10 seconds, which can be used to calculate its acceleration.
- Acceleration is the rate of change of velocity, and can be calculated using the formula: acceleration = (final velocity - initial velocity) / time.
Thermodynamics
- A copper block of mass 500 g is heated from 20°C to 80°C, which requires a certain amount of heat energy.
- The heat absorbed by the block can be calculated using the formula: heat absorbed = mass x specific heat capacity x temperature change.
- The specific heat capacity of copper is 0.39 J/g°C.
- A refrigerator consumes 500 J of energy to remove 150 J of heat from its interior, which can be used to calculate its coefficient of performance.
- The coefficient of performance is a measure of the efficiency of a refrigerator, and can be calculated using the formula: coefficient of performance = heat removed / energy consumed.
Waves and Oscillations
- A pendulum oscillates with a period of 2 seconds, which can be used to calculate its frequency and angular frequency.
- The frequency of an oscillation is the number of oscillations per second, and can be calculated using the formula: frequency = 1 / period.
- The angular frequency is related to the frequency by the formula: angular frequency = 2 x π x frequency.
- A wave travels through a medium with a frequency of 500 Hz and a wavelength of 0.2 m, which can be used to calculate its speed.
- The speed of a wave can be calculated using the formula: wave speed = frequency x wavelength.
Electrostatics and Electromagnetism
- Two point charges, +5 μC and -3 μC, are placed 10 cm apart in a vacuum, which creates an electrostatic force between them.
- The magnitude and direction of the electrostatic force between two point charges can be calculated using Coulomb's law.
- A coil with 100 turns and an area of 0.01 m² is placed in a magnetic field of 0.5 T, which creates a magnetic flux through the coil.
- The magnetic flux through a coil can be calculated using the formula: magnetic flux = magnetic field x area x number of turns.
Optics
- An object is placed 20 cm in front of a convex lens with a focal length of 10 cm, which forms an image.
- The position and nature of the image formed by a convex lens can be calculated using the lens equation: 1 / object distance + 1 / image distance = 1 / focal length.
- A light ray travels from air into a glass slab with a refractive index of 1.5, which refracts the light.
- The angle of refraction can be calculated using Snell's law: refractive index x sin(angle of incidence) = sin(angle of refraction).
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Description
Test your understanding of mechanics and thermodynamics with these problems covering topics such as acceleration, maximum height, heat absorption, and coefficient of performance. Challenge your knowledge in physics with these practical scenarios.
