Question

which of the following quantities are scalars? (check all that apply)
speed
velocity
time
length
temperature
acceleration
volume
force
weight
area
displacement
mass
height

Explanation:

A scalar quantity is defined as a physical quantity that has only magnitude and no direction. Let's analyze each option:

• Speed: It only has magnitude (e.g., 5 m/s) and no direction associated with it in terms of its basic definition (unlike velocity which has direction), so it's a scalar.
• Velocity: It has both magnitude and direction (e.g., 5 m/s towards north), so it's a vector, not a scalar.
• Time: It is measured by its magnitude (e.g., 10 seconds) and has no direction, so it's a scalar.
• Length: It is a measure of magnitude (e.g., 5 meters) with no direction, so it's a scalar.
• Temperature: It is expressed as a magnitude (e.g., 25°C) and has no direction, so it's a scalar.
• Acceleration: It has both magnitude and direction (related to the change in velocity's direction and magnitude), so it's a vector, not a scalar.
• Volume: It is a measure of the amount of space occupied, given by magnitude (e.g., 10 cubic meters) with no direction, so it's a scalar.
• Force: It has both magnitude and direction (e.g., 10 N towards the right), so it's a vector, not a scalar.
• Weight: Weight is a force (due to gravity) and thus has magnitude and direction, so it's a vector, not a scalar.
• Area: It is a measure of magnitude (e.g., 20 square meters) with no direction, so it's a scalar.
• Displacement: It has both magnitude and direction (e.g., 5 meters east), so it's a vector, not a scalar.
• Mass: It is a measure of the amount of matter, given by magnitude (e.g., 5 kg) with no direction, so it's a scalar.
• Height: It is a measure of magnitude (e.g., 10 meters) with no direction, so it's a scalar.

Answer:

• Speed
• Time
• Length
• Temperature
• Volume
• Area
• Mass
• Height