Question
CPA small block with a mass of 0.0900 $\mathrm{kg}$ is attached to a cord passing through a hole in a frictionless, horizontal surface (Fig. P6.75). The block is originally revolving at a distance of 0.40 $\mathrm{m}$ from the hole with a speed of 0.70 $\mathrm{m} / \mathrm{s} .$ The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.10 $\mathrm{m} .$ At this new distance, the speed of the block is observed to be 2.80 $\mathrm{m} / \mathrm{s}$ . (a) What is the tension in the cord in the original situation when the block has speed $v=0.70 \mathrm{m} / \mathrm{s} ?$ (b) What is the tension in the cord in the final situation when the block has speed $v=2.80 \mathrm{m} / \mathrm{s} ?$ (c) How much work was done by the person who pulled on the cord?
Step 1
70 \mathrm{m} / \mathrm{s}$ can be calculated using the formula for centrifugal force, which is $F = m \cdot v^{2} / r$. Here, $m$ is the mass of the block, $v$ is the speed of the block, and $r$ is the radius of the circle. Show more…
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A small block with a mass of $0.0600 \mathrm{~kg}$ is attached to a cord passing through a hole in a frictionless, horizontal surface (Fig. $\mathrm{P} 6.71$ ). The block is originally revolving at a distance of $0.40 \mathrm{~m}$ from the hole with a speed of $0.70 \mathrm{~m} / \mathrm{s}$ The cord is then pulled from below, shortening the radius of the circle in which the block revolves to $0.10 \mathrm{~m}$. At this new distance, the speed of the block is $2.80 \mathrm{~m} / \mathrm{s}$. (a) What is the tension in the cord in the original situation, when the block has speed $v=0.70 \mathrm{~m} / \mathrm{s} ?$ (b) What is the tension in the cord in the final situation. when the block has speed $v=2.80 \mathrm{~m} / \mathrm{s} ?$ (c) How much work was done by the person who pulled on the cord?
A small block with a mass of 0.120 $\mathrm{kg}$ is attached to a cord passing through a hole in a frictionless, horizontal surface (Fig. 6.34$)$ . The block is originally revolving at a distance of 0.40 $\mathrm{m}$ from the hole with a speed of 0.70 $\mathrm{m} / \mathrm{s}$ . The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.10 $\mathrm{m}$ . At this new distance, the speed of the block is observed to be 2.80 $\mathrm{m} / \mathrm{s}$ . (a) What is the tension in the cord in the original situation when the block has speed $v=0.70 \mathrm{m} / \mathrm{s} ?(\mathrm{b})$ What is the tension in the cord in the final situation when the block has speed $v=2.80 \mathrm{m} / \mathrm{s} ?$ (c) How much work was done by the person who pulled on the cord?
A small block with a mass of 0.0600 kg is attached to a cord passing through a hole in a frictionless, horizontal surface ($\textbf{Fig. P6.71}$). The block is originally revolving at a distance of 0.40 m from the hole with a speed of 0.70 m/s. The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.10 m. At this new distance, the speed of the block is 2.80 m/s. (a) What is the tension in the cord in the original situation, when the block has speed $\upsilon = 0.70$ m/s? (b) What is the tension in the cord in the final situation, when the block has speed $\upsilon = 2.80$ m/s? (c) How much work was done by the person who pulled on the cord? Figure P6.71 (Figure can't copy)
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