Question

Match each letter on the left to box on right, need help

Answer 1

Answer:

Acceleration → Change in velocity divided by time.

Proportional → Net force and acceleration

Inversely Proportional → Mass and acceleration

Net force Not Equal to zero → Driving a car up the on-ramp of the freeway

Net force Equal to zero → Driving a car with cruise control on, straight down.

Acceleration → Net force divided by mass

Force → Mass times acceleration.

Explanation:

Below we will explain each choice.

A) Acceleration by means of the following expression of kinematics is defined as the change of velocities in a given time.

$a=\frac{v_{f}-v_{o}}{t}$

where:

a = acceleration [m/s²]

Vf = final velocity [m/s]

Vo = initial velocity [m/s]

t = time [s]

B)

Newton's Second Law tells us that the sum of forces in a body is equal to the product of mass by acceleration so we have the following expression.

F = m*a

where:

F = force [N] (units of Newtons)

m = mass [kg]

a = acceleration [m/s²]

As we can see in the previous equation The Force is proportional to the acceleration, that is to say, every time the acceleration increases or decreases this same will happen with the force, increases or decreases.

C)

In Newton's second law we see an inversely proportional relationship, which is best seen if we clear the term of acceleration.

$a=\frac{F}{m}$

In any mathematical expression where a term is in the denominator, we can say that this is inversely proportional to the term to the left of the equal sign.

D)

When a vehicle climbs a hill or climbs a slope, forces such as the weight of the vehicle act in the opposite direction to the movement, so the sum of the forces cannot be equal to zero.

E)

When a vehicle moves on a track at a constant speed that is to say at cruising speed, we say that its acceleration is zero, therefore the sum of the forces acting on the moving vehicle is equal to zero.

F)

Acceleration is defined as the relationship between Force and mass

$a =\frac{F}{m}$

G)

Force is defined as the product of mass by acceleration.

F = m*a