Question

science 9-physics worksheet 3-2—work and mechanical advantage name due date show me hand in correct and hand in again by 1 give the formula used to find work 2 in this formula, the unit for force is, the unit for distance is and the unit for work is. 3 60 n of force is used to move an object a distance of 4.0 meters. calculate the amount of work done. show your work. include proper units in your answer. answer 4 an 800 n person is lifted a distance of 75 cm. calculate the amount of work done in joules. show your work. include proper units in your answer. answer 5 a person has a mass of 60 kg. a calculate the gravitational force on the person. n b calculate the amount of work done if the person is lifted straight up a distance of 12 m. show your work. include proper units in your answer.

Explanation:

Step1: State work formula

$W = F \times d$
Where $W$ = work, $F$ = force, $d$ = distance (parallel to force)

Step2: List standard units

Force unit: Newton (N)
Distance unit: meter (m)
Work unit: Joule (J, where $1\ \text{J} = 1\ \text{N·m}$)

Step3: Calculate work for Q3

Substitute $F=60\ \text{N}$, $d=4.0\ \text{m}$
$W = 60 \times 4.0 = 240\ \text{J}$

Step4: Convert distance for Q4

Convert 75 cm to meters: $75\ \text{cm} = 0.75\ \text{m}$
Substitute $F=800\ \text{N}$, $d=0.75\ \text{m}$
$W = 800 \times 0.75 = 600\ \text{J}$

Step5: Find gravitational force (Q5a)

Use $F_g = m \times g$, where $g=9.8\ \text{m/s}^2$
$F_g = 60 \times 9.8 = 588\ \text{N}$

Step6: Calculate work for Q5b

Use $F=588\ \text{N}$, $d=12\ \text{m}$
$W = 588 \times 12 = 7056\ \text{J}$

Answer:

1. $W = F \times d$
2. Force unit: Newton (N); Distance unit: meter (m); Work unit: Joule (J)
3. $240\ \text{J}$
4. $600\ \text{J}$
5. a. $588\ \text{N}$

b. $7056\ \text{J}$