Question

name activity 1.2.3 student calculations table 1. work measurements number of washers weight (0.0 newtons) distance (0.0 meters) work (0.0 joules) (newtons x meters) 5 21.7 all the way 10 50.8 all the way 15 65.3 all the way 20 76.9 all the way 25 87.7 all the way 30 97.6 all the way work calculations (work = newtons x meters)

Explanation:

To calculate the work for each row, we use the formula \( \text{Work} = \text{Weight (Newtons)} \times \text{Distance (meters)} \). Since the distance is "All the way" (we assume the distance is the same for all, let's denote it as \( d \) meters, but since it's the same, we can calculate the work as weight times \( d \). However, if we assume the distance is a constant (let's say we know the distance, but since it's not given numerically, maybe in the experiment the distance was a fixed value, but for the sake of calculation, let's assume we can compute it as weight × distance. But since the distance is "All the way" and not a number, maybe there was a typo or the distance was a fixed value like, for example, if the distance was 1 meter (common in such experiments), we can calculate:

For 5 Washers:

Step 1: Identify weight and distance

Weight = 21.7 N, Distance = \( d \) (let's assume \( d = 1 \) m for example)

Step 2: Calculate Work

\( \text{Work} = 21.7 \times d \). If \( d = 1 \) m, Work = \( 21.7 \times 1 = 21.7 \) Joules

For 10 Washers:

Step 1: Identify weight and distance

Weight = 50.8 N, Distance = \( d = 1 \) m

Step 2: Calculate Work

\( \text{Work} = 50.8 \times 1 = 50.8 \) Joules

For 15 Washers:

Step 1: Identify weight and distance

Weight = 65.3 N, Distance = \( d = 1 \) m

Step 2: Calculate Work

\( \text{Work} = 65.3 \times 1 = 65.3 \) Joules

For 20 Washers:

Step 1: Identify weight and distance

Weight = 76.9 N, Distance = \( d = 1 \) m

Step 2: Calculate Work

\( \text{Work} = 76.9 \times 1 = 76.9 \) Joules

For 25 Washers:

Step 1: Identify weight and distance

Weight = 87.7 N, Distance = \( d = 1 \) m

Step 2: Calculate Work

\( \text{Work} = 87.7 \times 1 = 87.7 \) Joules

For 30 Washers:

Step 1: Identify weight and distance

Weight = 97.6 N, Distance = \( d = 1 \) m

Step 2: Calculate Work

\( \text{Work} = 97.6 \times 1 = 97.6 \) Joules

If the distance was different (e.g., 0.5 m, 2 m), we would multiply the weight by that distance. But since the distance is labeled as "0.0 meters" (maybe a placeholder), we assume the distance is a constant value (probably measured in the experiment, like the height the washers were lifted).

Assuming distance \( d = 1 \) meter (a common case), the work values are:

• 5 Washers: 21.7 J
• 10 Washers: 50.8 J
• 15 Washers: 65.3 J
• 20 Washers: 76.9 J
• 25 Washers: 87.7 J
• 30 Washers: 97.6 J

If the distance was, say, \( d = 0.5 \) meters, we would do \( 21.7 \times 0.5 = 10.85 \) J, etc. But since the distance is not given numerically, we can only present the formula application with an assumed distance (or note that the distance value is missing and needs to be provided to compute the exact work).

Answer:

To calculate the work for each row, we use the formula \( \text{Work} = \text{Weight (Newtons)} \times \text{Distance (meters)} \). Since the distance is "All the way" (we assume the distance is the same for all, let's denote it as \( d \) meters, but since it's the same, we can calculate the work as weight times \( d \). However, if we assume the distance is a constant (let's say we know the distance, but since it's not given numerically, maybe in the experiment the distance was a fixed value, but for the sake of calculation, let's assume we can compute it as weight × distance. But since the distance is "All the way" and not a number, maybe there was a typo or the distance was a fixed value like, for example, if the distance was 1 meter (common in such experiments), we can calculate:

For 5 Washers:

Step 1: Identify weight and distance

Weight = 21.7 N, Distance = \( d \) (let's assume \( d = 1 \) m for example)

Step 2: Calculate Work

\( \text{Work} = 21.7 \times d \). If \( d = 1 \) m, Work = \( 21.7 \times 1 = 21.7 \) Joules

For 10 Washers:

Step 1: Identify weight and distance

Weight = 50.8 N, Distance = \( d = 1 \) m

Step 2: Calculate Work

\( \text{Work} = 50.8 \times 1 = 50.8 \) Joules

For 15 Washers:

Step 1: Identify weight and distance

Weight = 65.3 N, Distance = \( d = 1 \) m

Step 2: Calculate Work

\( \text{Work} = 65.3 \times 1 = 65.3 \) Joules

For 20 Washers:

Step 1: Identify weight and distance

Weight = 76.9 N, Distance = \( d = 1 \) m

Step 2: Calculate Work

\( \text{Work} = 76.9 \times 1 = 76.9 \) Joules

For 25 Washers:

Step 1: Identify weight and distance

Weight = 87.7 N, Distance = \( d = 1 \) m

Step 2: Calculate Work

\( \text{Work} = 87.7 \times 1 = 87.7 \) Joules

For 30 Washers:

Step 1: Identify weight and distance

Weight = 97.6 N, Distance = \( d = 1 \) m

Step 2: Calculate Work

\( \text{Work} = 97.6 \times 1 = 97.6 \) Joules

If the distance was different (e.g., 0.5 m, 2 m), we would multiply the weight by that distance. But since the distance is labeled as "0.0 meters" (maybe a placeholder), we assume the distance is a constant value (probably measured in the experiment, like the height the washers were lifted).

Assuming distance \( d = 1 \) meter (a common case), the work values are:

• 5 Washers: 21.7 J
• 10 Washers: 50.8 J
• 15 Washers: 65.3 J
• 20 Washers: 76.9 J
• 25 Washers: 87.7 J
• 30 Washers: 97.6 J

If the distance was, say, \( d = 0.5 \) meters, we would do \( 21.7 \times 0.5 = 10.85 \) J, etc. But since the distance is not given numerically, we can only present the formula application with an assumed distance (or note that the distance value is missing and needs to be provided to compute the exact work).