The bulldozer will apply 520n of force to the mound of soil if the top of a ramp is 15 m high and ramp is at an angle of 35° to the ground.
Given Work = 4500 j , Height of top of a ramp is 15m , the ramp is at an angle 35° to the ground.
Work is the . product of the force vector and displacement vector.
[tex]W=F . x[/tex]
It is the multiplication of magnitudes of the vectors and the vectors and the cosine of the angle between them.
W=F * cos ∅
Displacement of the soil is 15 m . The force is parallel to the ramp. So the angle between the vectors is 90°-35°=55°.
Plugging in the values and solving for F:4500 J =F(15 m)( cos55 °)
F=523N
rounded to the significant figures the force is 520 n.
Hence bulldozer needs to apply force of 520 N.
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