QUESTION IMAGE
Question
- directions: use the formula work = force × distance to calculate the answers to each of the following questions. a box is pushed 40 m by a mover. the amount of work done was 2,240 j. how much force was exerted on the box? 2. a person expended 500 newtons to move a full wheelbarrow 30 meters. how much work was done? 3. directions: use the formula mechanical advantage = output force/input force to solve the following problem. a carpenter uses a crowbar to remove the top of a box. the top has a resistance of 500 n. the carpenter applies an input force of 250 n. what is the mechanical advantage of the crowbar? 4. directions: answer the following questions with complete sentences. what are two ways that machines make work easier? 5. how does a crowbar used to remove the top of a box change the direction of the force?
1.
Step1: Identify values
Given force $F = 500$ N and distance $d=30$ m.
Step2: Apply work - formula
Work $W = F\times d$, so $W=500\times30$.
Step3: Calculate result
$W = 15000$ J.
Step1: Identify values
Given $W = 2240$ J and $d = 40$ m.
Step2: Rearrange work - formula
$F=\frac{W}{d}$.
Step3: Calculate result
$F=\frac{2240}{40}=56$ N.
Step1: Identify values
Given mechanical advantage formula $MA=\frac{\text{output force}}{\text{input force}}$, input force $F_{in}=250$ N and resistance force (output force) $F_{out}=500$ N.
Step2: Calculate mechanical advantage
$MA=\frac{F_{out}}{F_{in}}=\frac{500}{250}$.
Step3: Get result
$MA = 2$.
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15000 J