Question

how much work is done to displace horizontally a body 400 cm by a force OF 200N? whose angle with the horizontal is 30°c

Answer 1

Answer:

696Joules is the required answer .

Explanation:

Given:-

• Displacement ,s = 400cm
• Force ,F = 200N
• Ø = 30°

To Find:-

• Work Done ,W

Solution:-

According to the Question

It is given that work is done to displace horizontally a body 400 cm by a force OF 200N whose angle with the horizontal is 30° We have to calculate the work done to displace horizontally the body . We use here the formula.

Conversion of unit

→ Displacement = 400/100m

→ Displacement = 4m

• W = FsCos∅

where,

• W denote work done
• F denote Force
• ∅ denote angle.

Substitute the value we get

→ W = 200 × 4 × √3/2

→ W = 800× 0.87 ⠀⠀⠀⠀⠀⠀(√3/2 = 0.87)

→ W = 696 J

• Hence, the work done to displace the body horizontally is 696 Joules.

Answer 2

Given

$\:$

• Displacement (s) = 400 cm
• Displacement (s) in m = 400/100 = 4 m
• Force (F) = 200 N
• Angle with horizontal (θ) = 30°

$\:$

To Find

$\:$

• Work done (W) ?

$\:$

Solution

$\:$

$\qquad\underbrace{\underline{\sf{Understanding\:the\:Question\:::}}}$

$\:$

Here, we know that displacement, force and angle with horizontal of a body are 400 cm (4 m), 200 N and 30°. We have to find out the work done to displace the body. So, we will use formula of work done to find it. Let's solve it!

$\:$

We clearly know that ::

$\:$

$\qquad\odot\:\underline{\boxed{\bf{\blue{W = F\:\times\: s\:\times\:cos\:\theta}}}}$

$\:$

Where,

$\:$

• W = Work done
• F = Force
• s = Displacement
• θ = Angle with horizontal

$\:$

Putting all known values ::

$\\ \dashrightarrow \:\sf W = 200\:\times\:4\:\times\:Cos\:30^{\circ}$

$\\ \dashrightarrow \:\sf W = \cancel{800}\:\times\:\dfrac{\sqrt{3}}{\cancel{2}}$

$\:$

After cancelling 800 with 2, we get ::

$\\ \dashrightarrow \:\sf W = 400\:\times\:\sqrt{3}$

$\\ \dashrightarrow \:\sf W = 400\:\times\:1.732$

$\\ \dashrightarrow \:\sf \pink{W = 692.8\:J}$

$\:$

$\therefore\:{\underline{\sf{Work\:done\:(W)\:is\:{\textsf{\textbf{692.8\:Joules.}}}}}}$

$\:$

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