You pull your little sister across a flat snowy field on a sled. your sister plus the sled have a mass of 20 kg.the rope is at an angle of 35 degrees to the ground . You pull a distance of 50 m with a force of 30 N how much work do you do?

Respuesta :

Answer:1228.72 N

Explanation:

Given

Combined mass(m)= 20 kg

rope is at an angle of [tex]35^{\circ}[/tex]

Distance pulled =50 N

Force= 30 N

there will be two components of force

[tex]Fsin\theta [/tex]and [tex]Fcos\theta [/tex]

[tex]Fcos\theta [/tex]will do work while the [tex]Fsin\theta [/tex]work will be as angle between force and displacement is zero

[tex]W=Fcos\theta .d[/tex]

[tex]W=30cos35\cdot d\cdot cos0=1228.72 N[/tex]

The workdone is is mathematically given as

W=1228.728J

Workdone

Question Parameters:

You pull your little sister across a flat snowy field on a sled. your sister plus the sled have a mass of 20 kg.the rope is at an angle of 35 degrees to the ground . You pull a distance of 50 m with a force of 30 N

Generally the equation for the horizontal force   is mathematically given as

Fcos\theta=30*cos35

Fcos\theta=24.574

distance traveled 50

Therefore

Work done is

W=24.574*50

W=1228.728J

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