Flag AIPMT> When a force of 10 N acts on a particle a...
question mark

When a force of 10 N acts on a particle at 37° east of north then produces a displacement of 5 m South of West. Find work done.

Draco , 7 Years ago
Grade 12th pass
anser 1 Answers
Eshan
Dear student,

Angle between displacement and force vectors=90^{\circ}+45^{\circ}+37^{\circ}=172^{\circ}

Hence work done=Fscos\theta=10\times 5\times cos172^{\circ}

cos172^{\circ}=cos(180^{\circ}-8^{\circ})=-cos8^{\circ}=-cos(45^{\circ}-37^{\circ})

=-(cos45^{\circ}cos37^{\circ}+sin45^{\circ}sin37^{\circ})=-\dfrac{1}{\sqrt{2}}

Hence work done=-25\sqrt{2}J
Last Activity: 7 Years ago
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments