Represent each of the following units as a combination of primitive
dimensions where M=mass, L=length, T=time

PLS show work

Watt

Newton

Horsepower

Answers

Answer 1

Some important and basic points:

Unit of time is second (s).

Unit of mass is kilogram (kg).

Unit of distance/displacement is meter (m).

P.S. Displacement and distance are nearly same things, their unit is same.

Speed/velocity = distance/time

So, its unit is m/s.

Acceleration = (final velocity-initial velocity)/time.

So, its unit is m/s² or m.s^-2

We know from the formula that,

Force = mass × acceleration

=> F = ma

Putting units:

Newton = kg.m/s² or kg.m.s^-2 _____(1)

Putting dimensions:

Newton = M.L.T^-2

________________________

We know from the formula that,

Work = force × displacement

=> W = Fs

Putting units:

Joule = Newton.m

=> Joule = kg.m.s^-2.m [from (1)]

=> Joule = kg.m².s^-2 ______(2)

Putting dimensions:

Joule = M.L².T^-2

________________________

We know from the formula that,

Power = work/time

Putting units:

Watt = joule/s

=> Watt = kg.m².s^-2/s [from (2)]

=> Watt = kg.m².s^-3 ______(3)

Putting dimensions:

Watt = M.L².T^-3

________________________

We know from the formula that,

Horsepower = 746 watt

=> Horsepower = 746kg.m².s^-3 [from (3)]

Putting dimensions:

Horsepower = 746M.L².T^-3

Hope it helps!!
Answer 2

The dimension of Watt, Newton and horsepower are ML²T⁻³, MLT⁻² and ML²T⁻³ respectively

Units and dimension

Units are measure of a quantity. Dimensions are derived from the units. Gi

Force = mass × acceleration

For Newton:

Another representation for unit of Newton is  kg.m/s². Writing in terms of the dimension

Newton = MLT⁻²

For Watts;

The unit of Watt is also kg.m².s⁻²/s which is equivalent to  kg.m².s⁻³

In terms of dimension

Dimension of Watt = ML²T⁻³

For Horse power:

The unit of horse power is  kg.m².s⁻³

Dimension of horsepower = ML²T⁻³

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Related Questions

9. SAFELY BACKING UP YOUR VEHICLE INCLUDES ALL OF THE FOLLOWING
EXCEPT:
A. Looking over your right shoulder as you back up
O B. Checking behind your vehicle before you get in
C. Tapping your horn before you back up

Answers

C, that is the most logical answer

what is 222 divided by 11.2

Answers

Answer:

The answer of this question is 19.89142857

Answer:

The number 222 is called the numerator or dividend, and the number 11 is called the denominator or divisor.

The quotient of 222 and 11, the ratio of 222 and 11, as well as the fraction of 222 and 11 all mean (almost) the same:

222 divided by 11, often written as 222/11.

Read on to find the result of 222 divided by 11 in decimal notation, along with its properties.

Explanation:

George is replacing a burned out resistor in a circuit board. The board has a 10, a 20, and a 40 on resistor, all in parallel. When George has sided in the new component in the circuit is fixed, he checks his multimeter. What reading does he get?

Answers

Answer:

5.71 ohms

Explanation:

put it in the calculator

True or false: Units and dimensions are interchangeable words that describe the same concept.

True

False

Answers

Answer:

The answer to this is false

Explanation:

It is FALSE that units and dimensions are interchangeable words that describe the same concept.

What are units and dimension?

Units is defined as a measure of quantity while dimension specify the measure of a line or curve.

Both terms cannot be used interchangeably even though the dimensions of a quantity is derived from its units.

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Pls help me Extra points
Represent each of the following units as a combination of primitive
dimensions where M=mass, L=length, T=time

Kilometer

Quart

Pascal

Watt

Newton

Horsepower

Answers

Kilometer = 1000m

Quart = 0.000946m³

Force = mass × acceleration

=> F = ma

Putting units:

Newton = kg.m/s² or kg.m.s^-2 _____(1)

Pressure = force/area

Putting units:

Pascal = Newton/m²

=> Pascal = kg.m.s^-2.m² [from (1)]

=> Pascal = kg.m^-1.s^-2

Work = force × displacement

=> W = Fs

Putting units:

Joule = Newton.m

=> Joule = kg.m.s^-2.m [from (1)]

=> Joule = kg.m².s^-2 ______(2)

Power = work/time

Putting units:

Watt = joule/s

=> Watt = kg.m².s^-2/s [from (2)]

=> Watt = kg.m².s^-3 ______(3)

Horsepower = 746 watt

=> Horsepower = 746kg.m².s^-3 [from (3)]

Hope it helps!!

Determine the dimensions for R if R = m V / (d^2 Q) where m is a mass, V is a velocity, d is a diameter, and the dimensions of Q are M/(LT).


No dimensions


M / (L T^2)


M L / T^2


M


L / T

Answers

Answer:

No dimension

Explanation:

The given equation is [tex]R = \dfrac{m \cdot V}{d^2 \cdot Q}[/tex], where;

m = Mass

V = Velocity

d = A diameter

The dimension of mass quantity = M

The dimension of the velocity quantity = L/T

The dimension of the dimeter quantity = L

The given dimension of Q = M/(L·T)

Therefore, we get;

[tex]The \ dimension \ of \ R = \dfrac{M \times L/T}{L^2 \times (M/LT)} = \dfrac{M \times L/T}{L \times M/T} = 1[/tex]

Therefore, R has no dimensions

The low-pressure fuel system is being discussed. Technician A says that the system must provide an adequate volume of fuel to the high-pressure fuel injection system. Technician B says that the system must provide fuel at a minimum pressure to the high-pressure fuel injection system. Which technician is correct

Answers

Answer:

Hence Both technicians A and B are correct that is Technician A says that the system must provide an adequate volume of fuel to the high-pressure fuel injection system. Technician B says that the system must provide fuel at a minimum pressure to the high-pressure fuel injection system are true.

Explanation:

The low-pressure fuel system contains the fuel filters; A fuel level sending unit/tank pick-up; A transfer pump. So from considering both technicians statements both are applicable.

Explanation:

MARK ME AS A BRIANLIEST .........
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