Question

select the correct answer from each drop - down menu. blake and sandra are having a rummage sale. blake drags 3 boxes a distance of 10 meters each. he exerts a force of 20 newtons on each box. sandra drags 4 boxes a distance of 12 meters each. she exerts a force of 15 newtons on each box. blake takes 2 minutes to complete his work. sandra takes 4 minutes. blake does drop - down work than sandra. blakes power is drop - down than sandras power. (hint: use w = fd and p=\frac{w}{t}. )

Explanation:

Step1: Calculate Blake's work

Use the formula $W = Fd$. Blake has $n_1 = 3$ boxes, $F_1=20$ N, and $d_1 = 10$ m. So $W_1=n_1\times F_1\times d_1=3\times20\times10 = 600$ J.

Step2: Calculate Sandra's work

Sandra has $n_2 = 4$ boxes, $F_2 = 15$ N, and $d_2=12$ m. So $W_2=n_2\times F_2\times d_2=4\times15\times12=720$ J.

Step3: Calculate Blake's power

Blake takes $t_1 = 2$ minutes $= 2\times60=120$ s. Using $P=\frac{W}{t}$, $P_1=\frac{W_1}{t_1}=\frac{600}{120}=5$ W.

Step4: Calculate Sandra's power

Sandra takes $t_2 = 4$ minutes $=4\times60 = 240$ s. Using $P=\frac{W}{t}$, $P_2=\frac{W_2}{t_2}=\frac{720}{240}=3$ W.

Answer:

Blake does less work than Sandra. Blake's power is greater than Sandra's power.