Question

1. calculate how much work is done by a child pulling a wagon. the child pulls the handle with a force of 240 n at an angle of 30°. the wagon moves 7 m. 727.46 n·m 1,187.94 n·m 840 n·m 1,454.92 n·m checkpoint 5.1 m1 physics - s1 / module 5 / lesson 65

Explanation:

Step1: Recall work - formula

The formula for work is $W = Fd\cos\theta$, where $F$ is the force, $d$ is the displacement, and $\theta$ is the angle between the force and the displacement. Given $F = 240$ N, $d=7$ m, and $\theta = 30^{\circ}$.

Step2: Substitute values

Substitute the given values into the formula: $W=240\times7\times\cos30^{\circ}$.
Since $\cos30^{\circ}=\frac{\sqrt{3}}{2}\approx0.866$, then $W = 240\times7\times0.866$.

Step3: Calculate the result

$240\times7 = 1680$, and $1680\times0.866 = 1454.88\approx1454.92$ J (since 1 J = 1 N·m).

Answer:

1.454.92 N·m