(a) The speed of a moving bus reduced from 45m/s to 5m/s with a uniform retardation of 10m/s\(^2\). Calculate the distance covered. (b) A bucket full of wat...
Question 1 Report
(a) The speed of a moving bus reduced from 45m/s to 5m/s with a uniform retardation of 10m/s\(^2\). Calculate the distance covered.
(b) A bucket full of water with mass 16kg is pulled out of a well with a light inextensible rope. Find its acceleration when the tension in the rope is 240N. [Take g= 10m/s\(^2\)]
Answer Details
(a) Uniform retardation, so use \(v^{2}=u^{2}-2as\) with \(u=45,\ v=5,\ a=10\):
\[5^{2}=45^{2}-2(10)s\Rightarrow 25=2025-20s\]
\[20s=2000\Rightarrow s=100\text{ m}\]
(b) The bucket is pulled upward, so applying Newton's second law upward with \(m=16\text{kg},\ T=240\text{N},\ g=10\text{m/s}^{2}\):
\[T-mg=ma\Rightarrow 240-16(10)=16a\]
\[80=16a\Rightarrow a=5\text{ m/s}^{2}\ (\text{upward})\]
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