Question

What variable typically connects Newton's 2nd Law to the Equations of Uniformly Accelerated Motion?

A. Mass
B. Velocity
C. Time
D. Force

Answer 1

The variable connecting Newton's second law to the equations of uniformly accelerated motion is force (D), as expressed in the equation F = ma.

Step-by-step explanation:

The variable that typically connects Newton's second law of motion to the equations of uniformly accelerated motion is force (D). Newton's second law establishes that the acceleration (a) of a system is directly proportional to the net external force acting on it and is inversely proportional to its mass (m). The mathematical statement for this law is F = ma, which shows that force is directly proportional to mass and acceleration. Considering the kinematic equations, acceleration is the common variable (answer b) and is also present in Newton's second law, serving as the link between these sets of equations.

Answer 2

Force is the variable that connects Newton's 2nd Law to the Equations of Uniformly Accelerated Motion. Newton's second law is stated as F = ma, where acceleration is a result of force. Uniformly accelerated motion equations involve this acceleration, hence the connection with force.

Step-by-step explanation:

The variable that typically connects Newton's 2nd Law to the Equations of Uniformly Accelerated Motion is Force (D). Newton's second law of motion is mathematically stated as F = ma, where F is the net external force acting on an object, m is the mass of the object, and a is the acceleration. This law indicates that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Equations of uniformly accelerated motion, such as v = u + at (where v is the final velocity, u is the initial velocity, and t is the time), s = ut + 1/2 at2 (where s is the displacement), and v2 = u2 + 2as, involve acceleration which is connected to force via Newton's second law.