Problemas
anvas Question 1 Aball with a mass of 2 kg tied to a rope is being swung around in the air at a speed of 4 m/s and the string length from hand to the ball is 2.1 m. What is the centripetal acceleration of speed of 4m/s the mass? square 10 pts
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Sergioprofessionell · Tutor durante 6 años
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To find the centripetal acceleration of the ball, we can use the formula:<br /><br />\[ a_c = \frac{v^2}{r} \]<br /><br />where:<br />- \( a_c \) is the centripetal acceleration,<br />- \( v \) is the speed of the ball,<br />- \( r \) is the radius of the circular path.<br /><br />Given:<br />- The speed of the ball, \( v = 4 \, \text{m/s} \),<br />- The length of the string, \( r = 2.1 \, \text{m} \).<br /><br />Now, plug these values into the formula:<br /><br />\[ a_c = \frac{(4 \, \text{m/s})^2}{2.1 \, \text{m}} \]<br />\[ a_c = \frac{16 \, \text{m}^2/\text{s}^2}{2.1 \, \text{m}} \]<br />\[ a_c \approx 7.62 \, \text{m/s}^2 \]<br /><br />Therefore, the centripetal acceleration of the ball is approximately \( 7.62 \, \text{m/s}^2 \).
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