A shop crane lifts a replacement motor vertically through a distance of 4\text{ meters}, p… — Armed Services Vocational Aptitude Battery (ASVAB)

A shop crane lifts a replacement motor vertically through a distance of $4\text{ meters}$ , performing $2{}000\text{ J}$ of work. What constant upward force is exerted by the crane?

A
$8{}000\text{ N}$
$500\text{ N}$ Cevap
C
$500\text{ kg}$
D
$500\text{ W}$

Cevap

The constant upward force exerted by the crane is

500\text{ N}

Work equals force multiplied by distance (

W = F \times d

). Dividing the total work of

2{}000\text{ J}

by the vertical distance of

4\text{ meters}

yields a constant force of

500\text{ N}

Adım Adım Çözüm

State the formula relating work, force, and distance.

W = F \times d

Work is defined as force applied over a parallel distance.

Rearrange the equation to solve for force.

F = \frac{W}{d}

Isolating force allows direct calculation from known work and distance values.

Substitute the given values (

W = 2{}000\text{ J}

and

d = 4\text{ m}

) into the rearranged formula.

F = \frac{2{}000\text{ J}}{4\text{ m}} = 500\text{ N}

Carrying out the division yields the magnitude of force in newtons.

Anahtar Kavram

Work and Force Relationship

Tahmini Süre:45s

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