To find the acceleration ratio, we can use Newton's second law, which states that acceleration is directly proportional to the net force applied to an object and inversely proportional to its mass. Let's denote: - \( F_1 \) as the initial force, - \( F_2 \) as the doubled force, - \( m_1 \) as the initial mass, and - \( m_2 \) as the halved mass. According to the scenario: - \( F_2 = 2F_1 \) (doubled force) - \( m_2 = \frac{1}{2} m_1 \) (halved mass) Using Newton's second law: \[ a = \frac{F}{m} \] The initial acceleration \( a_1 \) is: \[ a_1 = \frac{F_1}{m_1} \] The final acceleration \( a_2 \) is: \[ a_2 = \frac{F_2}{m_2} \] Substituting the given values: \[ a_1 = \frac{F_1}{m_1} \] \[ a_2 = \frac{2F_1}{\frac{1}{2} m_1} = 4 \times \frac{F_1}{m_1} \] So, the ratio of the final acceleration \( a_2 \) to the initial acceleration \( a_1 \) is: \[ \frac{a_2}{a_1} = \frac{4 \times \frac{F_1}{m_1}}{\frac{F_1}{m_1}} = 4 \] Therefore, the acceleration ratio is \( 4:1 \).
if force applied to a body is double and the mass is cut in half what would be acceleration ratio = 4:1 is correct. (1:4) is incorrect jis ko lag ta h like karo
yes they answered the question force is halved and mass is doubled which is 1:4 but here the question was force is doubled and mass is halved which will be 4:1
14:49 @Mrinal gave wrong ❌ answer to the question that was based upon the ratio of acceleration the Correct answer was "4:1" In my opinion the red 🔴 team was the winner 🏆🎉🏆 Team HAZIK 😍😍
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To find the acceleration ratio, we can use Newton's second law, which states that acceleration is directly proportional to the net force applied to an object and inversely proportional to its mass.
Let's denote:
- \( F_1 \) as the initial force,
- \( F_2 \) as the doubled force,
- \( m_1 \) as the initial mass, and
- \( m_2 \) as the halved mass.
According to the scenario:
- \( F_2 = 2F_1 \) (doubled force)
- \( m_2 = \frac{1}{2} m_1 \) (halved mass)
Using Newton's second law:
\[
a = \frac{F}{m}
\]
The initial acceleration \( a_1 \) is:
\[
a_1 = \frac{F_1}{m_1}
\]
The final acceleration \( a_2 \) is:
\[
a_2 = \frac{F_2}{m_2}
\]
Substituting the given values:
\[
a_1 = \frac{F_1}{m_1}
\]
\[
a_2 = \frac{2F_1}{\frac{1}{2} m_1} = 4 \times \frac{F_1}{m_1}
\]
So, the ratio of the final acceleration \( a_2 \) to the initial acceleration \( a_1 \) is:
\[
\frac{a_2}{a_1} = \frac{4 \times \frac{F_1}{m_1}}{\frac{F_1}{m_1}} = 4
\]
Therefore, the acceleration ratio is \( 4:1 \).
ayeign
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14:48 yaha pe option D right hoga yaar ...
Kyuki as we know a = force / mass
So if a= 4:1
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if force applied to a body is double and the mass is cut in half what would be acceleration ratio = 4:1 is correct. (1:4) is incorrect
jis ko lag ta h like karo
Bhai apne bachcho ka kese galat karenghe ye log
Bhai meme bhi soch rha tha kyuki me garib hub ch*utiya nhi😅😅😂
Yes.....they answered wrong
yes they answered the question force is halved and mass is doubled which is 1:4 but here the question was force is doubled and mass is halved which will be 4:1
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12:08 Inetia is directly proportional to mass
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14:49
@Mrinal gave wrong ❌ answer to the question that was based upon the ratio of acceleration the
Correct answer was "4:1"
In my opinion the red 🔴 team was the winner 🏆🎉🏆
Team HAZIK 😍😍
At first i also thought it will be 4:1 then i solved it on paper. The ans came 1:4 = a¹:a²
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