Question

choose Vectors and scales:
Force, velocity, Time, acceleration, speed, Distance, Displacement ,mass, energy, power, density.​

Answer 1

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Choose Vectors and scalars:

Force, velocity, Time, acceleration, speed, Distance, Displacement ,mass, energy, power, density.

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First, let's know what are vectors and scalars:-

Vector Quantity: When a physical quantity has both magnitude and direction, is called a vector quantity.

Scalar Quantity: When a physical quantity is only by its magnitude, is called a scalar quantity.

Therefore, our answers are:-

Vector quantities:-

• Force
• Velocity
• Acceleration
• Displacement

Scalar quantities:-

• Time
• Speed
• Distance
• Mass
• Energy
• Power
• Density.

Now, to explain briefly:-

• Force has both magnitude and direction, therefore: Force is a vector quantity. Force is defined as the multiplication of mass and acceleration. Mass is scalar and acceleration is vector. Since, the dot of a scalar and a vector gives us a vector, force, is a vector quantity.

• Velocity is a physical vector quantity because both magnitude and direction are needed to define it.If there is a change in speed, direction or both, then the object has a changing velocity and is said to be undergoing an acceleration. That's why velocity is a vector.

• Time is a scalar quantity because it gives information about magnitude, how much time, but no information about direction.

• Acceleration is a vector quantity because acceleration has both magnitude and direction. For example, When an object has a positive acceleration, the acceleration occurs in the same direction as the movement of the object.

• Speed is a scalar quantity, having only magnitude and giving no information about direction. For example, 40m/s is a speed, it tells us how fast an object is traveling, but nothing abut which direction the object is traveling in.

• Distance is a scalar quantity. It refers only to how far an object has traveled. For example, 30 kilometers is a distance which gives no information about direction.

• Displacement is a vector quantity because it has both magnitude and direction. Displacement is considered as the minimal distance between the initial and the final point of the object within a given time.

• Mass is scalar quantity because of it doesn't include direction in measurement of magnitude of mass . Mass have no effect of direction so it is scalar quantity. It is same at earth's surface and moon surface

• Energy is a scalar quantity. It gives information about magnitude and how much energy an object has, but none about direction. Energy is defined as the scalar product of force(F) and displacement (S). Force and displacement vectors. Since the dot product of two vectors give us a scalar, energy is a scalar.

• Power is defined as the energy (or work) per unit time. Since, time and energy both are scalars and it doesn't have any direction, it is a scalar quantity.

• Density is a scalar quantity, having only magnitude and giving no information about direction. We can also reason that, because density is equal to mass divided by volume and both mass and volume are scalar quantities, density must also be a scalar quantity.

Answer 2

Answer:

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Question

Question

Choose Vectors and scalars:

Force, velocity, Time, acceleration, speed, Distance, Displacement ,mass, energy, power, density.

\begin{gathered} \\\huge{ \underline{\underline{\sf{\pmb{Required \: Answer:}}}}}\end{gathered}

RequiredAnswer:

RequiredAnswer:

First, let's know what are vectors and scalars:-

Vector Quantity: When a physical quantity has both magnitude and direction, is called a vector quantity.

Scalar Quantity: When a physical quantity is only by its magnitude, is called a scalar quantity.

Therefore, our answers are:-

Vector quantities:-

Force

Velocity

Acceleration

Displacement

Scalar quantities:-

Time

Speed

Distance

Mass

Energy

Power

Density.

Now, to explain briefly:-

Force has both magnitude and direction, therefore: Force is a vector quantity. Force is defined as the multiplication of mass and acceleration. Mass is scalar and acceleration is vector. Since, the dot of a scalar and a vector gives us a vector, force, is a vector quantity.

Velocity is a physical vector quantity because both magnitude and direction are needed to define it.If there is a change in speed, direction or both, then the object has a changing velocity and is said to be undergoing an acceleration. That's why velocity is a vector.

Time is a scalar quantity because it gives information about magnitude, how much time, but no information about direction.

Acceleration is a vector quantity because acceleration has both magnitude and direction. For example, When an object has a positive acceleration, the acceleration occurs in the same direction as the movement of the object.

Speed is a scalar quantity, having only magnitude and giving no information about direction. For example, 40m/s is a speed, it tells us how fast an object is traveling, but nothing abut which direction the object is traveling in.

Distance is a scalar quantity. It refers only to how far an object has traveled. For example, 30 kilometers is a distance which gives no information about direction.

Displacement is a vector quantity because it has both magnitude and direction. Displacement is considered as the minimal distance between the initial and the final point of the object within a given time.

Mass is scalar quantity because of it doesn't include direction in measurement of magnitude of mass . Mass have no effect of direction so it is scalar quantity. It is same at earth's surface and moon surface

Energy is a scalar quantity. It gives information about magnitude and how much energy an object has, but none about direction. Energy is defined as the scalar product of force(F) and displacement (S). Force and displacement vectors. Since the dot product of two vectors give us a scalar, energy is a scalar.

Power is defined as the energy (or work) per unit time. Since, time and energy both are scalars and it doesn't have any direction, it is a scalar quantity.

Density is a scalar quantity, having only magnitude and giving no information about direction. We can also reason that, because density is equal to mass divided by volume and both mass and volume are scalar quantities, density must also be a scalar quantity.