leaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.5 kg/m. nitially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket eaches the 15-m level. Find the work done. (Use 9.8 m/s² for g.) how how to approximate the required work by a Riemann sum. (Let x be the height in meters above the ground. Enter x;* as ;-) lim i=1 Ax
leaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.5 kg/m. nitially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket eaches the 15-m level. Find the work done. (Use 9.8 m/s² for g.) how how to approximate the required work by a Riemann sum. (Let x be the height in meters above the ground. Enter x;* as ;-) lim i=1 Ax
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A leaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.5 kg/m. Initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. Find the work done. (Use 9.8 m/s2 for g.)
Transcribed Image Text:A leaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.5 kg/m.
Initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket
reaches the 15-m level. Find the work done. (Use 9.8 m/s2 for g.)
Show how to approximate the required work by a Riemann sum. (Let x be the height in meters above the ground. Enter x;* as
X;.)
lim
n→ 00
n
i = 1
Ax
Express the work as an integral.
dx
Evaluate the integral. (Round your answer to the nearest integer.)
J
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