A vehicle of known mass accelerates along a straight path.

What cased this acceleration, according to Newton's second law of motion?

Responses

The mass of the vehicle has changed.

The mass of the vehicle has changed.

A balanced force has acted on the vehicle.

A balanced force has acted on the vehicle.

The direction of the vehicle has changed.

The direction of the vehicle has changed.

An unbalanced force has acted on the vehicle.

An unbalanced force has acted on the vehicle.

According to Newton's second law of motion, an unbalanced force has acted on the vehicle, causing its acceleration.

What force is needed to give a 4.5 kg bowling ball an acceleration of 9 m/s2?

Responses

0.5 N

0.5 N

2 N

2 N

36.5 N

36.5 N

40.5 N

The force needed to give a 4.5 kg bowling ball an acceleration of 9 m/s^2 can be calculated using Newton's second law of motion:

Force = mass x acceleration

Force = 4.5 kg x 9 m/s^2

Force = 40.5 N

So the force needed is 40.5 Newtons.

When divided by △t, (vf−vi) is used to determine which characteristic?

Responses

acceleration

acceleration

displacement

displacement

speed

speed

direction

When divided by △t, (vf - vi) is used to determine acceleration.

What acceleration does the force of Earth's gravity produce?

Responses

It varies depending on how long it has been falling.

It varies depending on how long it has been falling.

Gravity does not produce an acceleration.

Gravity does not produce an acceleration.

9.8 m/s/s

9.8 meters slash second slash second,

It changes direction every 9.8 meters.

It changes direction every 9.8 meters.

The force of Earth's gravity produces an acceleration of 9.8 m/s^2 (also written as 9.8 meters per second squared).

What is the acceleration of a 32 kg object if a 6.75 N force is applied to it?

Responses

0.21 m/s2

0.21 meters per second squared,

4.74 m/s2

4.74 meters per second squared,

21.09 m/s2

21.09 meters per second squared,

216.00 m/s2

To calculate the acceleration of a 32 kg object when a 6.75 N force is applied to it, we use Newton's second law of motion:

Force = mass x acceleration

Rearranging the equation, we have:

Acceleration = Force / mass

Substituting the given values, we get:

Acceleration = 6.75 N / 32 kg

Acceleration ≈ 0.21 m/s^2

So, the acceleration of the object is approximately 0.21 meters per second squared.

According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In this scenario, the mass of the vehicle is known and remains constant. Therefore, the only factor that can cause the acceleration is the presence of a force.

The correct response is: "An unbalanced force has acted on the vehicle."

To arrive at this answer, you need to understand Newton's second law and the relationship between force, mass, and acceleration. Newton's second law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In other words, if there is a net force acting on an object, it will cause the object to accelerate.

So, if a vehicle of known mass is accelerating along a straight path, there must be an unbalanced force acting on it. An unbalanced force refers to a force that is not counteracted or balanced by an opposing force. If the net force is not zero, the object will experience acceleration in the direction of the net force.

To determine whether a force is balanced or unbalanced in a given scenario, you would need to consider all the forces acting on the vehicle and determine if their sum is equal to zero (balanced) or not (unbalanced). In this case, since the vehicle is accelerating, there must be an unbalanced force acting on it.