1. A heavy table was pushed with a force of 700N through a distance of 5m. How much work is done in pushing the table?2. A girl weighing 50N up by her father to a distance of 200cm. from the ground. How much work was done?3. Pepito pulled a cart up to 3m wirh a force of 50 N. How much work was done?4. Pepita pushed a bag with a 3N Force across the floor to a distance of 12m. How much work was done?5. You push a 10kg box to the right with a force of 215N. The box moves. What is the work done by your push on the box after covering a distance of 4.0m?
Answer (1)
1. SOLUTION:Step 1: List the given values.[tex]\begin{aligned} & F = \text{700 N} \\ & d = \text{5 m} \end{aligned}[/tex]Step 2: Calculate the work.[tex]\begin{aligned} W & = Fd \\ & = \text{(700 N)(5 m)} \\ & = \boxed{\text{3,500 J}} \end{aligned}[/tex]Hence, the work done in pushing the table is 3,500 J.2. SOLUTION:Step 1: List the given values.[tex]\begin{aligned} & F = \text{50 N} \\ & d = \text{200 cm = 2 m} \end{aligned}[/tex]Step 2: Calculate the work.[tex]\begin{aligned} W & = Fd \\ & = \text{(50 N)(2 m)} \\ & = \boxed{\text{100 J}} \end{aligned}[/tex]Hence, the work done is 100 J.3. SOLUTION:Step 1: List the given values.[tex]\begin{aligned} & F = \text{50 N} \\ & d = \text{3 m} \end{aligned}[/tex]Step 2: Calculate the work.[tex]\begin{aligned} W & = Fd \\ & = \text{(50 N)(3 m)} \\ & = \boxed{\text{150 J}} \end{aligned}[/tex]Hence, the work done is 150 J.4. SOLUTION:Step 1: List the given values.[tex]\begin{aligned} & F = \text{3 N} \\ & d = \text{12 m} \end{aligned}[/tex]Step 2: Calculate the work.[tex]\begin{aligned} W & = Fd \\ & = \text{(3 N)(12 m)} \\ & = \boxed{\text{36 J}} \end{aligned}[/tex]Hence, the work done is 36 J.5. SOLUTION:Step 1: List the given values.[tex]\begin{aligned} & F = \text{215 N} \\ & d = \text{4.0 m} \end{aligned}[/tex]Step 2: Calculate the work.[tex]\begin{aligned} W & = Fd \\ & = \text{(215 N)(4.0 m)} \\ & = \boxed{\text{860 J}} \end{aligned}[/tex]Hence, the work done by my push on the box is 860 J.
