a) The dimensional formula of energy is
b) Energy and power have dimensions.
c) Number of significant figures in 0.345200is
d Speed is a Quantity and velocity is a
e) Momentum is the product of mass and
quantity
Answers
a)The dimensional formula of energy is given by,
M1 L2 T-2
Where,
M = Mass
L = Length
T = Time
Derivation
Energy = m × c2 . . . . (1)
Where m = mass and c = velocity
Since, velocity (c) = Distance × [Time]-1 = M0 L1 T-1
∴ The dimensional formula of velocity = M0 L1 T-1 . . . . (2)
On substituting equation (2) in equation (1) we get,
Energy = m × c2
Or, E = [M] × [L1 T-1]2 = M1 L2 T-2.
Therefore, energy is dimensionally represented as M1 L2 T-2.
b)the dimensions of energy are (mass) (length)2 /(time)2. Finally, power which is energy divided by time must have dimensions of (mass) (length)2 /(time)3. In the SI system of units the first three fundamental dimensions are mass, length and time.
c) sorry, I don't know this answer.
d)Speed, being a scalar quantity, is the rate at which an object covers distance. ... On the other hand, velocity is a vector quantity; it is direction-aware. Velocity is the rate at which the position changes. The average velocity is the displacement or position change (a vector quantity) per time ratio.
e)Momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle.