A sailboat ends up 7 miles to the west of a pier. Which statement is true about this situation?

Responses

It describes distance, which is a scalar quantity.

It describes displacement, which is a scalar quantity.

It describes displacement, which is a vector quantity.

It describes distance, which is a vector quantity.

7 answers

The correct statement is:

It describes displacement, which is a vector quantity.

Displacement includes both distance and direction, while scalar quantities only refer to distance without a direction. In this case, the sailboat is 7 miles west of the pier, which provides both the distance (7 miles) and the direction (west).

In which situation would the use of a vector quantity be most appropriate?
Responses

determining the net force that is acting on an object

determining whether a van is moving faster than the speed limit

determining the high and low temperatures on any given day

determining whether it takes more time to melt ice or to melt butter

The most appropriate situation for using a vector quantity is:

determining the net force that is acting on an object.

Vector quantities have both magnitude and direction, which is essential when calculating net forces, as forces are vectors that can combine in various ways depending on their direction and magnitude. The other options involve scalar quantities (speed, temperature, and time) without direction.

Which statement best describes force?
Respones:

Force is a vector quantity that measures both momentum and magnitude of a push or pull on an object.

Force is a vector quality that measures both direction and magnitude of a push or pull on an object.

Force is a scalar quantity that measures both direction and magnitude of a push or pull on an object.

Force is a vector quantity that measures both direction and magnitude of a push or pull on an object.

The statement that best describes force is:

Force is a vector quantity that measures both direction and magnitude of a push or pull on an object.

This definition correctly identifies force as a vector quantity, emphasizing that it has both magnitude (strength) and direction (the way the force is applied).

A soccer ball is traveling downfield with a force of 1.2 kN and strikes another soccer ball that is stationary. Which of the following describes the result of the collision?
Responses:

The stationary soccer ball will begin moving downfield and the ball that struck it will accelerate.

Neither ball will move after impact.

The stationary soccer ball will begin moving upfield and the ball that struck it will slow down.

The stationary soccer ball will begin moving downfield and the ball that struck it will slow down.

The correct response is:

The stationary soccer ball will begin moving downfield and the ball that struck it will slow down.

When the moving soccer ball strikes the stationary one, the force exerted by the first ball will cause the stationary ball to move in the same direction (downfield), while the moving ball will experience a loss of momentum, causing it to slow down. This scenario is consistent with the principles of conservation of momentum in a collision.