Question

1. in a laboratory experiment, a force of 50 n is applied to move a box 20 meters across a smooth floor. the work done on the box is to be calculated, and you are informed that this movement occurs in a time - span of 5 seconds. calculate the power generated during this process.

a. what do you need to determine in this question?
b. is there equation(s) to help solve the question? which equation(s) would help solve the question?
c. what variables do you need to determine to use the equation(s)?
d. what is the answer to this question? (show your work)

Explanation:

Step1: Identify what to find

We need to find the power generated.

Step2: Recall relevant equations

The work - formula is $W = F\times d$ (where $W$ is work, $F$ is force and $d$ is distance), and the power - formula is $P=\frac{W}{t}$ (where $P$ is power, $W$ is work and $t$ is time).

Step3: Determine variables

We know $F = 50\ N$, $d=20\ m$ and $t = 5\ s$. First, we find work $W$ using $W = F\times d$, then power $P$ using $P=\frac{W}{t}$.

Step4: Calculate work

$W=F\times d=50\times20 = 1000\ J$

Step5: Calculate power

$P=\frac{W}{t}=\frac{1000}{5}=200\ W$

Answer:

a. We need to determine the power generated during the process of moving the box.
b. The equations $W = F\times d$ and $P=\frac{W}{t}$ would help solve the question.
c. We need to determine the force ($F$), distance ($d$) and time ($t$). The values of $F = 50\ N$, $d = 20\ m$ and $t=5\ s$ are given.
d. First, calculate work $W=F\times d=50\times20 = 1000\ J$. Then, calculate power $P=\frac{W}{t}=\frac{1000}{5}=200\ W$. So the power generated is $200\ W$.