A 17 kg box experiences an applied force of +175 N and a force of friction of -125 N. While experiencing these unbalanced forces, the box travels a total of 15.0 meters in 5.25 seconds.


Calculate the power developed by the unbalanced forces to move the box.



A
44.1 watts
B
143 watts
C
263 watts
D
750 watts

Respuesta :

Answer: (b)

Explanation:

Given

Mass of box [tex]m=17\ kg[/tex]

Applied force [tex]F=175\ N[/tex]

Friction force [tex]f=-125\ N[/tex]

Box travels a distance of [tex]s=15\ m[/tex]

time taken [tex]t=5.25\ s[/tex]

Net unbalanced force [tex]F_{net}=175-125=50\ N[/tex]

Work done by the unbalanced force

[tex]\Rightarrow W=F_{un}\cdot s\\\Rightarrow W=50\times 15\\\Rightarrow W=750\ N[/tex]

Power developed by unbalanced force

[tex]\Rightarrow P=\dfrac{W}{t}\\\\\Rightarrow P=\dfrac{750}{5.25}\\\\\Rightarrow P=142.85\approx 1423\ W[/tex]

Thus, option (b) is correct.