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Matter In Our Surroundings

Question
CBSEENSC9006326

A force of 20 N displaces an object through 10 cm and does 10 J work in the process. Find the angle between force and displacement.

Solution

Given comma space

Force comma space straight F space equals space 20 space straight N

Distance space travelled comma space straight s space equals space 10 space cm space equals space 0.10 space straight m comma

Work space done comma space straight W space equals 1 space straight J

Angle space between space force space and space displacement comma space straight theta space equals space ?

using space the space formula comma

space space space space space space straight W space equals space Fs space cos space straight theta

therefore space 1 space equals space 20 space cross times space 0.10 space cross times space cos space straight theta space
rightwards double arrow space cos space straight theta space equals space 1 half
Hence comma space space space space straight theta space equals space 60 degree. space space