12-[24+10-{(-10)+4(8-2×3+6}]
Answers
Answer:
Answer:
Given :-
A force of 5N gives a mass of m₁ an acceleration of 8 m/s² and a mass of m₂ an acceleration of 24 m/s².
To Find :-
What acceleration would it give if both the masses are tied together.
Formula Used :-
\clubsuit♣ Force Formula :
\begin{gathered}\mapsto \sf\boxed{\bold{\pink{F =\: ma}}}\\\end{gathered}
↦
F=ma
where,
F = Force
m = Mass
a = Acceleration
Solution :-
\begin{gathered}{\small{\bold{\purple{\underline{\bigstar\: In\: the\: first\: case\: of\: mass\: :-}}}}}\\\end{gathered}
★Inthefirstcaseofmass:−
Given :
❒ Force (F) = 5N
❒ Acceleration (a₁) = 8 m/s²
According to the question by using the formula we get,
\implies \sf F =\: m_1a_1⟹F=m
1
a
1
\implies \sf 5 =\: m_1 \times 8⟹5=m
1
×8
\implies \sf \dfrac{5}{8} =\: m_1⟹
8
5
=m
1
\implies \sf 0.625 =\: m_1⟹0.625=m
1
\begin{gathered}\implies \sf\bold{\green{m_1 =\: 0.625\: kg}}\\\end{gathered}
⟹m
1
=0.625kg
Again,
\begin{gathered}{\small{\bold{\purple{\underline{\bigstar\: In\: second\: case\: of\: mass\: :-}}}}}\\\end{gathered}
★Insecondcaseofmass:−
Given :
❒ Force (F) = 5N
❒ Acceleration (a₂) = 24 m/s²
According to the question by using the formula we get,
\implies \sf F =\: m_2a_2⟹F=m
2
a
2
\implies \sf 5 =\: m_2 \times 24⟹5=m
2
×24
\implies \sf \dfrac{5}{24} =\: m_2⟹
24
5
=m
2
\implies \sf 0.208 =\: m_2⟹0.208=m
2
\implies \sf\bold{\green{m_2 =\: 0.208\: kg}}⟹m
2
=0.208kg
Now, we have to find the total mass :
Given :
❒ Mass (m₁) = 0.625 kg
❒ Mass (m₂) = 0.208 kg
Then,
\implies \sf Total\: mass =\: m_1 + m_2⟹Totalmass=m
1
+m
2
\implies \sf Total\: mass =\: 0.625 + 0.208⟹Totalmass=0.625+0.208
\implies \sf \bold{\green{Total\: mass =\: 0.833\: kg}}⟹Totalmass=0.833kg
Now, we have to find the acceleration would it give if both the masses are tied together :
Given :
❒ Force (F) = 5N
❒ Mass (m) = 0.833 kg
is 6 m/s².
Step-by-step explanation:
Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. It is the building block for everything in our daily lives, including mobile devices, architecture (ancient and modern), art, money, engineering, and even sports.