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Physics with Calculus - Newton's Laws and Motion Concepts

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  • What is Aristotle's concept of natural motion?

    Objects have a proper place determined by four elements (earth, water, air, fire) and move straight up or down to reach it; beyond Earth, motion is circular.

  • How did Galileo's concept of inertia differ from Aristotle's ideas?

    Galileo showed that objects of different weights fall at the same rate without air resistance and that a moving object needs no force to keep moving without friction.

  • Define inertia.

    Inertia is a property of matter to resist changes in motion and depends on the object's mass.

  • State Newton's First Law of Motion.

    Every object continues in a state of rest or uniform motion in a straight line unless acted on by a nonzero net force.

  • What is a vector quantity?

    A quantity described by both magnitude and direction, represented by arrows (e.g., force, velocity, acceleration).

  • How do you find the net force when two forces act in opposite directions?

    Subtract the smaller force from the larger one; the net force direction is that of the larger force.

  • What is the equilibrium rule in physics?

    The vector sum of all forces acting on a nonaccelerating object equals zero, expressed as \(\sum \vec{F} = 0\).

  • What is the support force (normal force)?

    An upward force exerted by a surface that opposes the force of gravity on an object resting on it.

  • What is the difference between static and dynamic equilibrium?

    Static equilibrium is when an object is at rest; dynamic equilibrium is when an object moves at constant speed in a straight line.

  • Explain motion being relative.

    Motion is described relative to a reference point; for example, walking on Earth is relative to Earth, but Earth moves relative to the Sun.

  • Define speed and its standard unit.

    Speed is the distance covered per unit time, measured in meters per second (m/s).

  • What is the difference between average speed and instantaneous speed?

    Average speed is total distance divided by total time; instantaneous speed is the speed at a specific moment.

  • Define velocity.

    Velocity is a vector quantity describing both the speed and direction of an object's motion.

  • What is acceleration?

    Acceleration is the rate of change of velocity over time, involving changes in speed, direction, or both.

  • State the formula for acceleration.

    Acceleration = \(\frac{\Delta v}{\Delta t}\), where \(\Delta\) v is change in velocity and \(\Delta\) t is time interval.

  • What is free fall?

    Motion under the influence of gravity only, with acceleration approximately \(9.8\,m/s^2\) downward.

  • How do you calculate the velocity of a freely falling object starting from rest?

    Velocity = acceleration × time, or \(v = g t\).

  • What is terminal velocity?

    The constant speed reached when air resistance balances the weight of a falling object, resulting in zero net force and no acceleration.

  • State Newton's Second Law of Motion.

    Acceleration of an object is directly proportional to the net force and inversely proportional to its mass, \(\vec{a} = \frac{\vec{F}_{net}}{m}\).

  • What is the difference between mass and weight?

    Mass is the amount of matter and measure of inertia; weight is the force due to gravity on that mass.

  • State Newton's Third Law of Motion.

    For every action force, there is an equal and opposite reaction force acting on different objects.

  • Why do action and reaction forces not cancel each other out?

    Because they act on different objects, so they do not cancel within a single object’s force balance.

  • How do vector components relate to forces?

    Forces can be resolved into perpendicular components (vertical and horizontal) which add vectorially to give the resultant force.

  • What happens to the normal force as the angle of an inclined plane increases?

    The normal force decreases as the incline angle increases, becoming zero when the plane is vertical.