1. Angela uses a force of 25 newton's to lift her grocery bag while doing 50 joules of work. how far did she lift the grocery bags 2 the baseball player does 1234 joules of work when hitting a baseball into field. Assuming the baseball landed 100 meter away from home plate, how much force did the payer use to hit the ball? 3. Amy uses 20N of force to push a lawn mower 10 meter, how much work does she do? 4 how much work does an elephant do while moving a circus wagon 20 meters with a pulling force of 200N? 5 alex applies 350 N of force to move his stalled car 40 m. How much work did Alex do? 6. Tommy does 15 joules of work to push the pencil over 1 meter. How much force did
Answer (1)
1. SOLUTION:Step 1: List the given values.[tex]\begin{aligned} & W = \text{50 J} \\ & F = \text{25 N} \end{aligned}[/tex]Step 2: Calculate the distance.[tex]\begin{aligned} W & = Fd \\ \frac{W}{F} & = \frac{Fd}{F} \\ \frac{W}{F} & = d \\ d & = \frac{W}{F} \\ & = \frac{\text{50 J}}{\text{25 N}} \\ & = \boxed{\text{2 m}} \end{aligned}[/tex]Hence, Angela lifted the grocery bags 2 m farther.2. SOLUTION:Step 1: List the given values.[tex]\begin{aligned} & W = \text{1,234 J} \\ & d = \text{100 m} \end{aligned}[/tex]Step 2: Calculate the force.[tex]\begin{aligned} W & = Fd \\ \frac{W}{d} & = \frac{Fd}{d} \\ \frac{W}{d} & = F \\ F & = \frac{W}{d} \\ & = \frac{\text{1,234 J}}{\text{100 m}} \\ & = \boxed{\text{12.34 N}} \end{aligned}[/tex]Hence, the baseball player used 12.34 N of force to hit the ball.3. SOLUTION:Step 1: List the given values.[tex]\begin{aligned} & F = \text{20 N} \\ & d = \text{10 m} \end{aligned}[/tex]Step 2: Calculate the work.[tex]\begin{aligned} W & = Fd \\ & = \text{(20 N)(10 m)} \\ & = \boxed{\text{200 J}} \end{aligned}[/tex]Hence, Amy does 200 J of work.4. SOLUTION:Step 1: List the given values.[tex]\begin{aligned} & F = \text{200 N} \\ & d = \text{20 m} \end{aligned}[/tex]Step 2: Calculate the work.[tex]\begin{aligned} W & = Fd \\ & = \text{(200 N)(20 m)} \\ & = \boxed{\text{4,000 J}} \end{aligned}[/tex]Hence, an elephant does 200 J of work.5. SOLUTION:Step 1: List the given values.[tex]\begin{aligned} & F = \text{350 N} \\ & d = \text{40 m} \end{aligned}[/tex]Step 2: Calculate the work.[tex]\begin{aligned} W & = Fd \\ & = \text{(350 N)(40 m)} \\ & = \boxed{\text{14,000 J}} \end{aligned}[/tex]Hence, Alex does 14,000 J of work.6. SOLUTION:Step 1: List the given values.[tex]\begin{aligned} & W = \text{15 J} \\ & d = \text{1 m} \end{aligned}[/tex]Step 2: Calculate the force.[tex]\begin{aligned} W & = Fd \\ \frac{W}{d} & = \frac{Fd}{d} \\ \frac{W}{d} & = F \\ F & = \frac{W}{d} \\ & = \frac{\text{15 J}}{\text{1 m}} \\ & = \boxed{\text{15 N}} \end{aligned}[/tex]Hence, Tommy used 15 N of force.
