Chapter 6 ~ Work, Energy And Power ⛮ Flashcards

Definition, formula and key 🗝 ideas 💡

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1
Q

Definition of work done :

Plus formula

A

°the product of the force and the distance moved in the direction of the force

W= F × s

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2
Q

Work done =

A

Energy ⛮ transferred

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3
Q

1 joule =

A

1 Newton × 1 m

Therefore, 1 J = 1 Nm

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4
Q

The formula for work done by a gas is

A

W = p🔼V

W-work done by a gas

p-pressure (remains constant)

🔼V- change in volume

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5
Q

How to derive the work done by a gas formula in 2 steps?

W= p🔼V

A

Step 1 : F = pressure × area
F = p× A

Step 2 : work done =F × s
Therefore, W = p × A × s

         W= p 🔼 V
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6
Q

Definition of gravitational potential energy ⛮

And its formula

A

°the energy a body has due to its position in a gravitational field

Ep= mgh

m-mass, kg

g- gravitational force, 9.81ms^-2

h- height, m

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7
Q

Definition of gravitational potential

A

The gravitational potential energy per unit mass at a point in a gravitational field

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8
Q

Definition of gravitational field

A

°a region where any object with mass experiences a force

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9
Q

Gravitational field strength 💪 plus formula

A

°The gravitational force experienced by an object per unit mass :

g= F/m

F-force

m-mass

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10
Q

Formula for kinetic energy ⛮

A

Kinetic energy = 1/2 × mass × speed ^2

KE =0.5×m×v^2

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11
Q

Definition of kinetic energy :

A

°energy of an object due to its motion

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12
Q

How to derive the formula for kinetic energy in 4 steps

KE =(1/2) mv^2

A

Step 1 :
Imagine a body being accelerated from rest
The equation of motion v^2 = u^2 +2as
U = 0 (rest)

So v^2 = 2as

Step 2 :
Multiple each side by (1/2)m
So (1/2) mv^2 = mas

Step 3 :
ma = F
So mas is the force × distance moved

Step 4:

Work done by force F= (1/2)mv^2

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13
Q

Decrease in g.p.e =

A

Gain in k.e.

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14
Q

Decrease in g.p.e =

A

Gain in k.e.

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15
Q

How to derive g.p.e in 2 steps

A

Step 1 :
Work done = F × s

Step 2 :
F = W= mg
s = displacement which changes so h

Therefore,

g.p.e = mgh

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16
Q

Formula for efficiency =

A

Effiency =

(useful output energy /total input energy) × 100

17
Q

The principle of the conservative of energy is:

A

Energy ⛮ cannot be created or destroyed. It can only be converted from one form to another.

18
Q

Definition of power :

➕ Unit

A

The rate at which energy is transferred or the rate at which work is done.

Unit : Watt (W)

19
Q

Formula for power =

A

P = W/t

P- power
W-work done
t-time ⌚

20
Q

A watt is defined as

A

A rate of transfer of energy of one joule per second.

21
Q

The formula for moving power =

A

P=Force ×velocity

22
Q

How to derive the formula for moving power (P=F×v) in 3 steps :

A
Step 1 :
W= F× s
And distance (s) = v × t

Therefore, W= F × v × t

Step 2 :
P = work done ÷ time ⌚ so,

(F× v × t) /t

Step 3 :
Therefore, P= F × v