Which one of the following statement is correct
Multiple choice question
a)Energy and work are scalars
b)Force and work are vectors
c)Energy, momentum and velocity are vectors
d)Force, momentus and velocity are scalars
To determine which statement is correct, let's understand the concepts of scalars and vectors:
Scalars are quantities that have magnitude only, which means they are represented by a single numerical value. Examples of scalars include temperature, mass, and time duration.
Vectors, on the other hand, are quantities that have both magnitude and direction. They are represented by an arrow indicating the magnitude and direction. Examples of vectors include force, velocity, and displacement.
Now, let's analyze each option:
a) Energy and work are scalars: This statement is incorrect. Energy and work are both scalar quantities as they only have magnitude. For example, the units for energy are joules (J), and work is also measured in joules (J).
b) Force and work are vectors: This statement is partially correct. Force is indeed a vector quantity because it has both magnitude (measured in newtons, N) and direction. However, work is a scalar quantity because it is the product of force and distance, and does not have a specific direction.
c) Energy, momentum, and velocity are vectors: This statement is incorrect. Energy is a scalar quantity, not a vector. Momentum and velocity, however, are indeed vector quantities as they have both magnitude and direction. The units for momentum are kilogram-meter per second (kg·m/s), and the units for velocity are also meter per second (m/s).
d) Force, momentum, and velocity are scalars: This statement is incorrect. Force, momentum, and velocity are all vector quantities, not scalars. They have both magnitude and direction.
Based on the analysis, the correct statement is Option b): "Force and work are vectors."