An archer fires an arrow, by applying an average force of 182 N across a distance of 38.0 cm on the bow. If the arrow has a mass of 22.0 g, find its velocity when the archer realize the bow:
if the conversion is 100% efficent:
+14966 An archer fires an arrow, by applying an average force of 182 N across a distance of 38.0 cm on the bow. If the arrow has a mass of 22.0 g, find its velocity when the archer realize the bow:
\(W=\frac{mv^2}{2}\)
\(v=\sqrt {\frac{2W}{m}}\)
\({\color{blue}W=F\times d}=182N\times 38cm\ \times \frac{m}{100cm}\)
\(W=69.16\ Nm\)
\(m=22g=0.022kg\)
\(v=\sqrt {\frac{2W}{m}}=\sqrt {\frac{2\times69.16Nm}{0.022kg}\times\frac{mkg}{Ns^2}}\)
\(\large v=79.292\frac{m}{s}\)
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