Question
velocity vector because of
Answers
GPT 3.5
an applied force can be determined using Newton's second law of motion.
According to Newton's second law, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. Mathematically, this can be represented as:
F = m*a
where F is the net force, m is the mass of the object, and a is the acceleration.
From the definition of acceleration, we know that:
a = ∆v / ∆t
where ∆v is the change in velocity and ∆t is the change in time.
Substituting this expression for acceleration into Newton's second law, we get:
F = m * (∆v / ∆t)
Since velocity is the rate of change of displacement with respect to time, we can rewrite ∆v as ∆s/∆t, where ∆s is the change in displacement. Therefore, the equation becomes:
F = m * (∆s/∆t) / ∆t
Simplifying, we get:
F = m * ∆s / (∆t)^2
This equation shows that the force is directly proportional to the change in displacement (∆s) and inversely proportional to the square of the change in time (∆t). So, if an applied force causes a change in displacement and time, we can calculate the magnitude of the force using this equation.
According to Newton's second law, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. Mathematically, this can be represented as:
F = m*a
where F is the net force, m is the mass of the object, and a is the acceleration.
From the definition of acceleration, we know that:
a = ∆v / ∆t
where ∆v is the change in velocity and ∆t is the change in time.
Substituting this expression for acceleration into Newton's second law, we get:
F = m * (∆v / ∆t)
Since velocity is the rate of change of displacement with respect to time, we can rewrite ∆v as ∆s/∆t, where ∆s is the change in displacement. Therefore, the equation becomes:
F = m * (∆s/∆t) / ∆t
Simplifying, we get:
F = m * ∆s / (∆t)^2
This equation shows that the force is directly proportional to the change in displacement (∆s) and inversely proportional to the square of the change in time (∆t). So, if an applied force causes a change in displacement and time, we can calculate the magnitude of the force using this equation.