4-1.Newton's Laws of Motion
medium

એક કણના વેગમાનના ઘટકો ${p_x} = 2\cos t$ અને ${p_y} = 2\sin t$ છે,તો બળ અને વેગમાન વચ્ચે  ........... $^o$ ખૂણો હશે.

A

$90$

B

$0$

C

$180$

D

$30$

Solution

(a) Given that $\vec p = {p_x}\hat i + {p_y}\hat j = 2\cos t\;\hat i + 2\sin t\;\hat j$

 $\vec F = \frac{{d\vec p}}{{dt}} = – 2\sin t\;\hat i + 2\cos t\;\hat j$

Now, $\vec F.\vec p = 0$

i.e. angle between $\vec F\;{\rm{and }}\,\vec p$ is $90^o.$

Standard 11
Physics

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