Vectors and Scalars

According to the vector diagram which is correct?

• F₂ + F ₃ = F₁

• F₁ + F₂ = F ₃

• F₁ + F₃ = F ₂

• F₁ + F₂ + F ₃ = 0

Two forces of magnitude 3 N and 4 N respectively act on a body. The maximum possible magnitude of the resultant of these forces is

• 12N

• 7N

• 5N

• 1N

A man, who has walked a certain distance, but not in a straight line, can …

• have a zero displacement

• not have a negative displacement

• have a displacement higher in magnitude to the distance

• have a displacement equal in magnitude to the distance

Which one of the following is not a vector quantity:

• velocity

• energy

• force

• momentum

A girl runs once around a circular track with a radius of 65m at a speed of 2m/s. Her displacement is

• 0

• 65m west

• 65m east

• 130m

In which of the following vector diagrams is the resultant of the three vectors zero?

• A

• B

• C

• D

• E

A body of mass m is placed on a frictionless inclined plane (as shown in the sketch).

The component of the block's weight in a direction parallel to the inclined plane is given by …

• mg cosα

• mg sinα

• mg tanα

• none of the above

A force of magnitude F acts at an angle a to the horizontal. The magnitude of the horizontal component of the force is …

• F cos α

• F sin α

• F sin (90⁰ - α)

• 0

Which of the following pairs are both scalar quantities?

• energy and force

• speed and mass

• temperature and velocity

• volume and weight

• density and acceleration

CHALLENGE QUESTION: Two forces act over pulleys to support a block of wood as shown in the diagram below. Resultant vertical force is