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Standard IX

Physics

Second Law of Motion

Two masses of...

Question

Two masses of $10 k g$ and $20 k g$ respectively are connected by a massless spring as shown in the figure. A force of $200 N$ acts on the $20 k g$ mass. At the instant shown the $10 k g$ mass has an acceleration of $12 m / s^{2}$ rightwards. What is the acceleration of $20 k g$ mass?

Zero

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10 m / s^{2}

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4 m / s^{2}

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8 m / s^{2}

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Solution

The correct option is C $4 m / s^{2}$
As given the acceleration of the 10 kg mass is $12 m / s^{2}$
so the spring force that would have been acting on the mass = F = ma
or, $F = 10 \times 12 = 120 N$ in the right direction
while same amount of spring force will act on the 20 kg mass in the left direction
so the net force on the 20 kg mass in the right direction = $200 - 120 = 80 N$
hence the acceleration of 20 kg mass = $80 / 20 = 4 m / s^{2}$

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Two masses of 10kg and 20kg respectively are connected by a massless spring as shown in the figure. A force of 200N acts on the 20kg mass. At the instant shown the 10kg mass has an acceleration of 12m/s2 rightwards. What is the acceleration of 20kg mass?

Two masses of $10 k g$ and $20 k g$ respectively are connected by a massless spring as shown in the figure. A force of $200 N$ acts on the $20 k g$ mass. At the instant shown the $10 k g$ mass has an acceleration of $12 m / s^{2}$ rightwards. What is the acceleration of $20 k g$ mass?