when the students place the unknown cart on the scale the scale reads the mass of 1.20 kg
a)calculate the percent difference
b) state the reason for the difference . explain
a) Well, to calculate the percent difference, we need to know the actual mass of the cart. Since that information is missing, I'll just have to make a wild guess. Let's say the actual mass of the cart is 1.00 kg.
To calculate the percent difference, we can use the formula:
Percent Difference = [(Measured Value - Actual Value) / Actual Value] x 100
So, plugging in the numbers, we get:
Percent Difference = [(1.20 kg - 1.00 kg) / 1.00 kg] x 100
Simplifying, we have:
Percent Difference = (0.20 kg / 1.00 kg) x 100
Percent Difference = 20%
b) Now, the reason for the difference could be numerous. Maybe the scale is not calibrated properly, or perhaps there is an error in the measurement or calculation. Or maybe, just maybe, the cart decided to gain a few grams while no one was looking. Who knows? The world of unknown carts is a mysterious one!
To calculate the percent difference, we need to compare the measured mass to the accepted or expected mass. Without the expected mass, we cannot accurately determine the percent difference. We will need more information to proceed with part (a).
However, in part (b), one reason for the difference between the measured mass and the expected mass could be experimental error. Various factors, such as inaccuracies in the scale, human error in reading the scale, or inaccuracies in the measurement technique, can contribute to a difference between the measured and expected values. Additionally, the unknown cart may have additional objects or substances that contribute to its mass, leading to a difference in the measured mass compared to the expected value.
To calculate the percent difference, you need to know the known mass and the measured mass. In this case, we know that the measured mass on the scale is 1.20 kg, but we don't know the known mass. So, to proceed further, you'll need to provide the known mass value.
However, I can still explain how to calculate the percent difference once the known mass is provided. The percent difference is calculated using the following formula:
Percent Difference = (|Measured Value - Known Value| / Known Value) * 100
Where:
- |Measured Value - Known Value| refers to the absolute difference between the measured value and the known value.
- Known Value is the known mass of the cart (which is missing in the given question).
To state the reason for the difference, it could be due to various factors such as:
1. Error in measurement: The scale may have a margin of error, resulting in a slight deviation from the true value.
2. Imperfections in the cart: The actual mass of the cart may not be exactly equal to the known value due to manufacturing errors or wear and tear.
3. Environmental factors: The scale measurement may be affected by external factors such as air buoyancy or variations in gravitational force.
Without the known mass value, it's difficult to provide a specific reason for the difference.