Question

A 2-kg body is sliding up an inclined plane of
inclination 30°. Find the work done by the force of
gravity in moving the body through 1 m.​

Answer 1

AnswEr :

• Mass (m) = 2 kg
• Angle (Ø) = 30°
• Displacement (s) = 1 m

Work DonE : Work is said to be done by a body if force is applied is on object and object displace from its initial position.

Formula for Calculating Work Done is :

$\\ \longrightarrow \tt{W\ =\ F.s} \\ \\ \\ \longrightarrow \tt{W\ =\ mg.s \; \; \; \; \; \; \; \bigg[\because\ F\ =\ mg \bigg]} \\ \\ \\ \longrightarrow \tt{W\ =\ msg \cos \theta} \\ \\ \\ \longrightarrow \tt{W\ =\ 2\ \times\ 10\ \times\ \cos(30^{\circ})} \\ \\ \\ \longrightarrow \tt{W\ =\ \cancel{20}\ \times\ \dfrac{\sqrt{3}}{\cancel{2}}} \\ \\ \\ \longrightarrow \underline{\boxed{\frak{W\ =\ 10 \sqrt{3}\ J}}}$