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Questions and Answers
What is the main purpose of a Vernier caliper?
What is the main purpose of a Vernier caliper?
- To measure the diameter of a pipe
- To measure the length of an object with high precision (correct)
- To measure the weight of an object
- To measure the temperature of an object
What is relative velocity?
What is relative velocity?
- The velocity of an object in a circular motion.
- The velocity of an object in a straight line relative to a stationary observer.
- The velocity of an object in a rotating frame of reference. (correct)
- The velocity of an object in a gravitational field.
What is a characteristic of a directly proportional relationship?
What is a characteristic of a directly proportional relationship?
- The graph is a straight line that passes through the origin. (correct)
- The graph is a curved line that does not pass through the origin.
- The graph is a horizontal line.
- The graph is a vertical line.
What is the primary focus of kinematics in mechanics?
What is the primary focus of kinematics in mechanics?
Which equation represents the instantaneous acceleration of an object?
Which equation represents the instantaneous acceleration of an object?
What is the unit of angular displacement?
What is the unit of angular displacement?
What is the physical quantity that is equal to the rate of change of momentum?
What is the physical quantity that is equal to the rate of change of momentum?
Which of the following is a key concept in dynamics?
Which of the following is a key concept in dynamics?
What is the dimension of acceleration?
What is the dimension of acceleration?
A car is traveling at a velocity of 20 m/s. If the brakes are applied, the car decelerates at a rate of 4 m/s^2. How far will the car travel before coming to rest?
A car is traveling at a velocity of 20 m/s. If the brakes are applied, the car decelerates at a rate of 4 m/s^2. How far will the car travel before coming to rest?
A 2 kg block is pulled up a frictionless incline plane with a force of 10 N. What is the acceleration of the block?
A 2 kg block is pulled up a frictionless incline plane with a force of 10 N. What is the acceleration of the block?
A 5 kg object is dropped from a height of 20 m. What is the velocity of the object just before it hits the ground?
A 5 kg object is dropped from a height of 20 m. What is the velocity of the object just before it hits the ground?
What is the total energy of a 2 kg object moving at a velocity of 10 m/s at a height of 10 m above the ground?
What is the total energy of a 2 kg object moving at a velocity of 10 m/s at a height of 10 m above the ground?
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Study Notes
Mechanics
Kinematics
- Motion is described in terms of position, velocity, and acceleration without considering forces
- Displacement is the change in position of an object
- Velocity is the rate of change of displacement, measured in meters per second (m/s)
- Acceleration is the rate of change of velocity, measured in meters per second squared (m/s²)
- Time is a measure of duration, measured in seconds (s)
Dynamics
- Forces cause motion and change in motion
- An object at rest stays at rest, and an object in motion stays in motion unless acted upon by an external force (Newton's First Law)
- Force equals mass times acceleration (F = ma)
- Every action has an equal and opposite reaction (Newton's Third Law)
Energy and Work
- Energy is the ability to do work
- Work is the transfer of energy from one object to another
- Kinetic energy is the energy of motion
- Potential energy is the energy of position or configuration
- Total energy is the sum of kinetic and potential energy
- Work done on an object equals its change in kinetic energy (Work-Energy Theorem)
Rotational Motion
- Rotational motion is the motion around a fixed axis
- Angular displacement is the change in angular position
- Angular velocity is the rate of change of angular displacement
- Angular acceleration is the rate of change of angular velocity
- Torque is the rotational force that causes angular acceleration
Kinematics
- Motion is a change in position of an object over time.
- Displacement is the distance between an object's initial and final positions, and it's a vector quantity.
- Distance is the total length of the path an object travels, and it's a scalar quantity.
- Speed is the rate of change of distance, and it's a scalar quantity.
- Velocity is the rate of change of displacement, and it's a vector quantity.
- Acceleration is the rate of change of velocity, and it's a vector quantity.
Kinematic Equations
Constant Acceleration
- To find velocity, use the equation: v = u + at
- To find distance, use the equation: s = ut + (1/2)at^2
- To find velocity squared, use the equation: v^2 = u^2 + 2as
Uniformly Accelerated Motion
- To find distance, use the equation: s = (u + v)t/2
- To find velocity under free fall, use the equation: v = u + gt
Dynamics
- A force is a push or pull that causes an object to accelerate.
- Newton's Laws describe the relationship between forces and motion.
Newton's Laws
- The First Law (Inertia) states that an object at rest stays at rest, and an object in motion stays in motion, unless acted upon by an external force.
- The Second Law (F = ma) states that force is equal to mass times acceleration.
- The Third Law (Action and Reaction) states that every action has an equal and opposite reaction.
Work and Energy
- Work is the product of force and displacement, and it's a scalar quantity.
- Energy is the ability to do work, and it's a scalar quantity.
- Kinetic Energy is the energy of motion, calculated as (1/2)mv^2.
- Potential Energy is the energy of position, calculated as mgh.
- The Conservation of Energy states that the total energy remains constant in a closed system.
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