10. When a force of 20 N acts on a surface, it produces a pressure of 500 Pa. Calculate the area of this surface
What amount of force should be exerted on the same area to create a pressure of 1000 Pa?
Answers
Required Solution:
★ Area = 0.04 m² ★
★ Force = 40 N ★
________________________________
(1st part of the question.)
Given:
• Force acts (F) = 20 N
• Pressure produces (P) = 500 Pa
To calculate:
• Area of the surface (A)
Calculation:
As we know that,
● Pressure is defined as the force per unit area. Or by applying the values in the formula of the pressure , we can find the area of the surface. i.e,
⇒ Pressure = Force/Area
Inserting values, we get:
⇒ 500 = 20/A
⇒ 500 × A = 20
⇒ A = 20/500
⇒ A = 2/50
⇒ A = 0.04 m²
Therefore, area of the surface is 0.04 m².
(2nd part of the question.)
Now,in the second case question asks that when force is applied on the same area ( 0.04 m² ) with the pressure of 1000 Pa, then what is the value of force applied?
So,
Given:
• Area (A) = 0.04 m²
• Pressure (P) = 1000 Pa
To calculate:
• Force applied (F)
Calculation:
As we know that,
• Pressure = Force/Area
→ 1000 = Force/0.04
→ 1000 × 0.04 = Force
→ ( 1000 × 4 )/100= Force
→ 4000/100= Force
→ 40 N = Force
Therefore, force should be exerted on the same area to create a pressure of 1000 Pa is 40 N.
Required Solution :–
★ The number of deer = 72 ★
Given:
• Half of a herd of deer are grazing in the field and three-fourths of the remaining are playing.
• The rest 9 are drinking water from the pond.
To calculate:
• The number of deer in the herd.
Calculation:
Let us assume the number of deer in the herd as x.
So, as the question states :
›» Half of a herd of deer are grazing in the field.
\rm \red {\implies Number \: of \: those \: who \: are\: grazing = \dfrac{x}{2} }⟹Numberofthosewhoaregrazing=
2
x
Now,
\implies⟹ Remaining deer = \sf {x -\dfrac{x}{2}}x−
2
x
\implies⟹ Remaining deer = \sf {\dfrac{2x-x}{2}}
2
2x−x
\rm \red {\implies Remaining \: deer = \dfrac{x}{2}}⟹Remainingdeer=
2
x
Also, as the question states :
›» Three-fourths of the remaining are playing.
\implies⟹ Number of those who are playing = \sf {\dfrac{3}{4} \: of \: \dfrac{x}{2} }
4
3
of
2
x
\implies⟹ Number of those who are playing = \sf {\dfrac{3}{4} \times \dfrac{x}{2} }
4
3
×
2
x
\implies⟹ Number of those who are playing = \sf {\dfrac{3 \times x}{4 \times 2} }
4×2
3×x
\rm \red {\implies Number \: of \: those \: who \: are\: playing = \dfrac{3x}{8} }⟹Numberofthosewhoareplaying=
8
3x
And the other 9 deer are drinking, thus
\sf { Total \: number \: of \: deer = \dfrac{x}{2} + \dfrac{3x}{8} + 9 }Totalnumberofdeer=
2
x
+
8
3x
+9
→\sf { x = \dfrac{x}{2} + \dfrac{3x}{8} + 9 }x=
2
x
+
8
3x
+9
→\sf { x = \dfrac{4x+3x+72}{8} }x=
8
4x+3x+72
→\sf { x = \dfrac{7x+72}{8} }x=
8
7x+72
→\sf { x \times 8 = 7x+72 }x×8=7x+72
→\sf { 8x = 7x+72 }8x=7x+72
→\sf { 8x - 7x = 72 }8x−7x=72
→\sf { x = 72 }x=72
\rm \green{ \longrightarrow Total \: number \: of \: deer = 72 }⟶Totalnumberofdeer=72
Point out the Nouns in the following sentences.
1.The palace was extremely huge.
Palace \longrightarrow⟶ Proper noun
2.We all love honesty.
Love \longrightarrow⟶ Abstract noun
3.King Daniel was known for his wisdom.
Daniel \longrightarrow⟶ Proper noun
Wisdom \longrightarrow⟶ Abstract noun
4.Cleanliness is next to godliness.
Godliness \longrightarrow⟶ Abstract noun
5.The Soldiers were rewarded for their bravery.
Soldiers \longrightarrow⟶ Common noun
Bravery \longrightarrow⟶ Abstract noun
6.A committee was appointed by the management.
Committee \longrightarrow⟶ Collective noun
7.I recognized your voice at once.
Voice \longrightarrow⟶ Abstract noun
8.My class consists of ten students.
Class \longrightarrow⟶ Common noun
Students \longrightarrow⟶ Common noun
9.He gave me a bouquet of flowers.
Bouquet of flowers \longrightarrow⟶ Collective noun
10. Wisdom is better than strength.
Wisdom and strength \longrightarrow⟶ Abstract noun
_____________________________________
★ Grammar at ease!!!
\boxed { \large \sf \pink { Noun} }
Noun
A noun is a word used as the name of a person, place or thing.
Ex - Riya is a player.
\boxed { \large \sf \pink { Kinds \: of \: noun } }
Kindsofnoun
\sf \green { Proper \: Noun }ProperNoun
A proper noun is a particular name of some person,place or thing.
Example : Akbar was a king.
Here, "Akbar" refers to a particular king.
\sf \green { Common \: Noun }CommonNoun
A common noun is a name given in common to every person,place or thing of same kind.
Example : Akbar was a king.
Here, "king" refers to common noun as it might be applied any other king as well as to Akbar.
\sf \green { Collective \: Noun }CollectiveNoun
A collective noun is the name of a number of persons are things taken together.
Ex - The jury found the prisoner guilty.
Here, "jury" refers to the group that takes the decision.
»Other examples : bunch of keys, an army of soldiers.
\sf \green { Abstract \: Noun }AbstractNoun
An abstract noun refers to the name of quality,action or feelings.
Ex - love,hate, e