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A force of 5 N applied on mj produces an acceleration of 8 m/s2 and when applied on m2 produces an acceleration of 24 m/s2. When they are tied together, the acceleration will be
- a)3 m/s2
- b)16 m/s2
- c)6 m/s2
- d)8 m/s2
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A force of 5 N applied on mj produces an acceleration of 8 m/s2 and wh...
For the first body, F = m1a1
For second body, F = m2a2
Combined mass of both bodies, m1 + m2
For second body, F = m2a2
Combined mass of both bodies, m1 + m2
F = 5N, a = ?
F = ma
So, a = 6m/s2
Most Upvoted Answer
A force of 5 N applied on mj produces an acceleration of 8 m/s2 and wh...
Given:
Force applied on mj (m1) = 5 N
Acceleration produced on mj (m1) = 8 m/s²
Force applied on m2 = 5 N
Acceleration produced on m2 = 24 m/s²
When the forces are applied individually on the two masses, the respective accelerations are different. However, when the masses are tied together, the net force acting on the system is still 5 N. Let's analyze the situation step by step.
1. Calculating the mass of mj (m1):
Using Newton's second law of motion, we can find the mass of mj (m1) using the formula:
Force (F) = Mass (m) × Acceleration (a)
5 N = m1 × 8 m/s²
m1 = 5 N / 8 m/s²
m1 = 0.625 kg
2. Calculating the mass of m2:
Using the same formula, we can find the mass of m2:
5 N = m2 × 24 m/s²
m2 = 5 N / 24 m/s²
m2 = 0.2083 kg
3. Calculating the combined mass (total mass) when the masses are tied together:
Total mass (m_total) = m1 + m2
m_total = 0.625 kg + 0.2083 kg
m_total = 0.8333 kg
4. Calculating the acceleration when the masses are tied together:
Using Newton's second law of motion, we can find the acceleration of the combined system:
Force (F) = Mass (m_total) × Acceleration (a_total)
5 N = 0.8333 kg × a_total
a_total = 5 N / 0.8333 kg
a_total = 6 m/s²
Therefore, the acceleration of the combined system when the masses are tied together is 6 m/s².
Force applied on mj (m1) = 5 N
Acceleration produced on mj (m1) = 8 m/s²
Force applied on m2 = 5 N
Acceleration produced on m2 = 24 m/s²
When the forces are applied individually on the two masses, the respective accelerations are different. However, when the masses are tied together, the net force acting on the system is still 5 N. Let's analyze the situation step by step.
1. Calculating the mass of mj (m1):
Using Newton's second law of motion, we can find the mass of mj (m1) using the formula:
Force (F) = Mass (m) × Acceleration (a)
5 N = m1 × 8 m/s²
m1 = 5 N / 8 m/s²
m1 = 0.625 kg
2. Calculating the mass of m2:
Using the same formula, we can find the mass of m2:
5 N = m2 × 24 m/s²
m2 = 5 N / 24 m/s²
m2 = 0.2083 kg
3. Calculating the combined mass (total mass) when the masses are tied together:
Total mass (m_total) = m1 + m2
m_total = 0.625 kg + 0.2083 kg
m_total = 0.8333 kg
4. Calculating the acceleration when the masses are tied together:
Using Newton's second law of motion, we can find the acceleration of the combined system:
Force (F) = Mass (m_total) × Acceleration (a_total)
5 N = 0.8333 kg × a_total
a_total = 5 N / 0.8333 kg
a_total = 6 m/s²
Therefore, the acceleration of the combined system when the masses are tied together is 6 m/s².
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Community Answer
A force of 5 N applied on mj produces an acceleration of 8 m/s2 and wh...
For the first body, F = m1a1
For second body, F = m2a2
Combined mass of both bodies, m1 + m2
For second body, F = m2a2
Combined mass of both bodies, m1 + m2
F = 5N, a = ?
F = ma
So, a = 6m/s2
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A force of 5 N applied on mj produces an acceleration of 8 m/s2 and when applied on m2 produces an acceleration of 24 m/s2. When they are tied together, the acceleration will bea)3 m/s2b)16 m/s2c)6 m/s2d)8 m/s2Correct answer is option 'C'. Can you explain this answer?
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