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Questions and Answers
A spring with a spring constant of 100 N/m is stretched by 0.2 m. What is the force exerted by the spring?
A spring with a spring constant of 100 N/m is stretched by 0.2 m. What is the force exerted by the spring?
- 10 N
- 80 N
- 20 N (correct)
- 40 N
A car accelerates from 0 to 20 m/s in 4 seconds. What is its acceleration?
A car accelerates from 0 to 20 m/s in 4 seconds. What is its acceleration?
- 5 m/s²
- 4 m/s² (correct)
- 2 m/s²
- 10 m/s²
A circuit has two resistors, R1 = 2 ohms and R2 = 3 ohms, connected in parallel. What is the total resistance?
A circuit has two resistors, R1 = 2 ohms and R2 = 3 ohms, connected in parallel. What is the total resistance?
- 5/6 ohm (correct)
- 2 ohms
- 5 ohms
- 1 ohm
A gas is heated from 20°C to 40°C, and its pressure increases from 2 atm to 4 atm. What is the constant in Gay-Lussac's Law?
A gas is heated from 20°C to 40°C, and its pressure increases from 2 atm to 4 atm. What is the constant in Gay-Lussac's Law?
A weight is suspended from a spring with a spring constant of 50 N/m. If the weight is 10 N, what is the extension of the spring?
A weight is suspended from a spring with a spring constant of 50 N/m. If the weight is 10 N, what is the extension of the spring?
What is the force exerted on an object with a mass of 5 kg at a gravitational acceleration of 9.81 m/s²?
What is the force exerted on an object with a mass of 5 kg at a gravitational acceleration of 9.81 m/s²?
A spring with a spring constant of 200 N/m is stretched by 0.1 m. What is the energy stored in the spring?
A spring with a spring constant of 200 N/m is stretched by 0.1 m. What is the energy stored in the spring?
Two resistors, R1 = 4 ohms and R2 = 6 ohms, are connected in series. What is the total resistance?
Two resistors, R1 = 4 ohms and R2 = 6 ohms, are connected in series. What is the total resistance?
A car accelerates from 15 m/s to 25 m/s in 3 seconds. What is its acceleration?
A car accelerates from 15 m/s to 25 m/s in 3 seconds. What is its acceleration?
A gas is heated from 30°C to 50°C, and its pressure increases from 3 atm to 5 atm. What is the ratio of the initial to the final temperature?
A gas is heated from 30°C to 50°C, and its pressure increases from 3 atm to 5 atm. What is the ratio of the initial to the final temperature?
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Study Notes
Units and Formulas
- Distance is measured in meters (m)
- Force is measured in Newtons (N)
- Gravity is approximately 9.81 m/s² (unless otherwise stated)
- Weight is calculated as mass × gravity
Motion
- Acceleration (a) is calculated as (final speed (V2) - starting speed (V1)) / time
Hooke's Law
- Force (F) is equal to the spring constant (k) times the extension (x): F = kx
- Spring constant with multiple springs:
- In parallel: Ktotal = Ky + K2 + ...
- In series: 1 / Ktotal = 1 / Kg + 1 / K2 + ...
Gas Laws
- Gay-Lussac Law states: P1 / T1 = P2 / T2
- Where P1 = Initial pressure (atm), P2 = New pressure, T1 = Initial temperature (K), T2 = New temperature
Force and Motion
- Force is calculated as mass × acceleration
Electricity
- Current (amps) is calculated as Voltage (volts) / Resistance (ohms)
Temperature
- Temperature in Kelvin (K) is calculated as Celsius + 273
Resistors
- Adding resistors:
- In series: Rtotal = Ry + R2 + R3 + ...
- In parallel: 1 / Rtotal = 1 / R1 + 1/R2 + 1/R3 + ...
Units and Notations
- m is used to represent metre
- N is used to represent Newton
- Gravity is 9.81 m/s² (unless otherwise stated)
Weight and Gravity
- Weight is calculated by multiplying mass by gravity
- Weight = mass x gravity
Motion and Acceleration
- Acceleration (a) is calculated by (final speed (V2) - starting speed (V1)) / time
- a = (V2 - V1) / time
Hooke's Law
- F = Kx (where F = force, k = spring constant, x = extension)
- Spring constant with multiple springs:
- In parallel: Ktotal = Ky + K2 + ...
- In series: 1 / Ktotal = 1 / Ky + 1 / K2 + ...
Gas Laws
- Gay-Lussac Law: P1 / T1 = P2 / T2
- Where P1 = Initial pressure (atm), P2 = New pressure, T1 = Initial temperature (K), T2 = New temperature
Force and Motion
- Force is calculated by multiplying mass by acceleration
- F = mass x acceleration
Electricity
- Current (amps) is calculated by dividing Voltage (volts) by Resistance (ohms)
- Current = Voltage / Resistance
Temperature
- To convert temperature from Celsius to Kelvin: T Kelvin = T Celsius + 273
Series and Parallel Circuits
- Adding components - Resistors:
- In series: Rtotal = Ry + R2 + R3 + ...
- In parallel: 1 / Rtotal = 1 / R1 + 1 / R2 + 1 / R...
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