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Questions and Answers
What is the formula for speed?
What is the formula for speed?
- W = Fd
- v = d/t
- a = (vf - vi)/t
- s = d/t (correct)
What does v stand for in v = d/t?
What does v stand for in v = d/t?
Velocity
What is the formula for acceleration?
What is the formula for acceleration?
a = (vf - vi)/t or Δv/t
The acceleration of a free-falling object is constant at 9.8 m/s².
The acceleration of a free-falling object is constant at 9.8 m/s².
What does F = ma represent?
What does F = ma represent?
What is the formula for gravitational force?
What is the formula for gravitational force?
What does Hooke's law state?
What does Hooke's law state?
What is the formula for kinetic energy?
What is the formula for kinetic energy?
What is gravitational potential energy denoted by?
What is gravitational potential energy denoted by?
What does the formula Ep = Ek (mgh = 1/2 mv²) represent?
What does the formula Ep = Ek (mgh = 1/2 mv²) represent?
What does W = Fd represent?
What does W = Fd represent?
What is the relationship expressed in W = ΔE?
What is the relationship expressed in W = ΔE?
What is power defined as?
What is power defined as?
What is efficiency?
What is efficiency?
What is the formula for pressure?
What is the formula for pressure?
What does Q = mc ΔT represent?
What does Q = mc ΔT represent?
What is specific heat capacity denoted by?
What is specific heat capacity denoted by?
What does Q = mL refer to?
What does Q = mL refer to?
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Study Notes
Speed and Velocity
- Speed is calculated as distance divided by time (s = d/t), expressed in m/s or cm/s.
- Velocity is defined as displacement divided by time (v = d/t) and includes direction, also measured in m/s.
Acceleration and Gravity
- Acceleration (a) formula: (final velocity - initial velocity) divided by time, measured in m/s².
- The acceleration due to gravity (g) is approximately 10 m/s² for free-falling objects.
Force and Weight
- Newton's Second Law states that force (F) equals mass (m) multiplied by acceleration (a), expressed in Newtons (N).
- The gravitational force acting on an object (Fg) calculates to mass multiplied by gravity, representing its weight (W), also measured in Newtons (N).
Hooke's Law and Kinetic Energy
- Hooke's Law states that the extension of a spring (x) is proportional to the load applied (F), expressed as F = kx, where k is the spring constant in N/m or N/cm.
- Kinetic Energy (Ek) is given by the formula Ek = 1/2mv², where m is mass and v is velocity, measured in Joules (J).
Gravitational Potential Energy
- Gravitational Potential Energy (Ep) is calculated using Ep = mhg, where m is mass, h is height, and g is acceleration due to gravity (10 m/s²). Measured in Joules (J).
- Conservation of energy states that at the top of a fall, gravitational potential energy (mgh) equals kinetic energy (1/2mv²) at the bottom of the fall.
Work and Energy
- Work (W) is defined as force (F) multiplied by distance (d), measured in Joules (J).
- Work done changes an object's energy, either its kinetic or potential energy (W = ΔE).
- Conservation of energy in a system asserts that work done results in an equivalent change in energy (W = ΔEk or ΔEp).
Power and Efficiency
- Power (P) is the rate of doing work or transferring energy, calculated as P = W/t or P = ΔE/t, measured in Watts (W) or Joules per second (J/s).
- Efficiency is calculated by the formula: (useful work output / total work input) x 100%, expressed as a percentage (%).
Pressure and Heat Energy
- Pressure (P) is defined as force divided by area (P = F/A), with depths in a fluid contributing to pressure calculated as P = pgh, where p is density, g is gravity, and h is height (or depth), measured in Pascals (Pa) or N/m².
- Heat energy (Q) required to change the temperature of a mass (m) without a phase change is given by Q = mcΔT, where ΔT is the change in temperature, measured in Joules (J).
Specific Heat Capacity and Phase Change
- Specific heat capacity (c) measures the heat required to change 1 kg of a substance by 1°C, given by c = Q/(mΔT), expressed in J/kg°C.
- Heat energy for phase change, either melting (Lf) or boiling (Lv), is represented by Q = mL, measured in Joules (J).
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