Frequently Asked Questions
Newton's First Law states that a body remains at rest or in uniform straight-line motion unless acted upon by a net external force; this is called the law of inertia.
Newton's Second Law states that the rate of change of momentum of a body is proportional to the applied net force and takes place in the direction of the force, \(\vec{F} = \frac{d\vec{p}}{dt} = m\vec{a}\).
Newton's Third Law states that for every action there is an equal and opposite reaction; forces always occur in pairs acting on different bodies.
Inertia is the property of a body by virtue of which it resists any change in its state of rest or uniform motion in a straight line.
Linear momentum \(\vec{p}\) of a body is defined as the product of its mass and velocity, \(\vec{p} = m\vec{v}\).
Impulse of a force is the product of force and the time for which it acts and is equal to the change in momentum, \(I = F\Delta t = \Delta p\).
In an isolated system with no external force, the total linear momentum of the system remains constant during any interaction.
For constant mass, Newton's Second Law reduces to \(\vec{F}_{net} = m\vec{a}\).
An inertial frame is a reference frame in which Newton's First Law holds, i.e., a frame that is either at rest or moving with uniform velocity.
A non-inertial frame is a reference frame that is accelerating with respect to an inertial frame, in which fictitious or pseudo forces must be introduced to apply Newton's laws.
Pseudo force is an apparent force introduced in a non-inertial frame of reference, given by \(\vec{F}_{pseudo} = -m\vec{a}_{frame}\), acting opposite to the acceleration of the frame.
Normal reaction is the contact force exerted by a surface on a body, acting perpendicular to the surface.
Friction is the contact force that opposes the relative motion or the tendency of relative motion between two surfaces in contact.
Static friction acts between surfaces at rest relative to each other and can vary up to a limiting value, while kinetic friction acts when surfaces slide over each other with relative motion.
Limiting friction is the maximum value of static friction just before the body begins to move relative to the surface.