Question

A child full set toy car through a distance of 10 meters on a smooth horizontal floor.
The string held in child's hand makes an angle of 60° with the horizontal surface. If the force applied by the child be 5 N.
Calculate the work done by the child in pulling the toy car​

Answer 1

Answer:

Work = 60×10×5

=300

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Answer 2

Solution :-

Given :-

• Angle between them (θ Theta) = 60°
• Displacement (s) = 10 m
• Force Applied = 5 N

To Find :-

• Work Done (W)

Formula Used :-

$\underline{ \boxed{ \pink {\sf{Work \: Done = Force \times Displacement \times \cos( \theta) }}}}$

Substituting Values

$\sf\implies 5 \times 10 \times \cos60 \degree$

Now, for solving further Let's Understand it

$\boxed{ \green {\sf{ \: Cos \theta = Cosine \: of angle \: of \: Elevation}}}$

$\longrightarrow \sf Cos \: 60 \degree = \dfrac{1}{2}$

Should Remember :-

$\bullet \sf Cos \: 0 \degree = 1$

$\bullet \sf Cos \: 36 \degree = \dfrac{ \sqrt{3} }{2}$

$\bullet \sf Cos \: 45 \degree = \dfrac{1}{ \sqrt{3} }$

$\bullet \sf Cos \: 60 \degree = \dfrac{1}{2}$

$\bullet \sf Cos \: 90 \degree = 0$

$\bullet \sf Cos \: 180 \degree = 1 0$

$\bullet \sf Cos \: \theta \degree = \dfrac{b}{h}$

Therefore,

$\sf\implies 5 \times \cancel{10 \times \dfrac{1}{2} }$

$\sf\implies 5 \times 5$

$\sf\implies2 5$

Thus, Work Done is 25 Joule