Answer:
To estimate the final error on the density of the cube, we can consider the errors introduced by both the measurement of its volume and its weight.
1. Volume Measurement:
- The side length of the cube is given as 10 centimeters, and your ruler can measure to 1 mm accuracy.
- So, the error in measuring the side length is ±0.05 cm (half of the smallest measurement unit).
- To calculate volume, you need to cube the side length: Volume = (10 cm)^3 = 1000 cm^3.
- Using the error propagation rule, the relative error in volume is ±0.05 cm / 10 cm = ±0.005.
2. Weight Measurement:
- The weight is given as 1 kg nominally, which is equivalent to 1000 g.
- Your scale has a precision down to 0.1 g.
- So, the error in measuring the weight is ±0.1 g / 1000 g = ±0.0001 (0.01%) relative error.
Now, to calculate the final error in density, you need to consider both errors in volume and weight:
Density = Weight / Volume
Relative Error in Density = (Relative Error in Weight) + (Relative Error in Volume)
Relative Error in Density = (0.0001) + (0.005) = 0.0051 or 0.51%
So, the final estimated error on the density of the cube is approximately ±0.0051 g/cm^3 or ±0.51%.
The density of the cube is calculated using its mass and volume, with potential errors from the measurements of these quantities leading to a total estimated density error of approximately ±3.01%.
The density of an object is given by the formula density = mass/volume. In this case, the mass of the cube is given as 1 kg (or 1000 g for consistency with the scale's precision), and the volume of the cube can be calculated from the given side length using the formula for the volume of a cube, volume = side³, which equals 1000 cm³.
However, there are measurement errors associated with both the ruler and scale. The ruler can measure to the nearest mm (or 0.1 cm), so the error is ±0.1 cm on each measurement of the cube's sides, leading to a volume error of about ±3%. The scale can measure to the nearest 0.1 g, which gives a mass error of about ±0.01%. The total error in the density, obtained by summing these errors, is therefore approximately ±3.01%.
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b. step-up transformer
c. step-down transformer
d. motor
e. detector
The correct answer of the question is : B) Step-up transformer.
EXPLANATION :
Before coming into any conclusion, first we have to understand the step-up and step-down transformer.
The step-up transformer is the transformer whose transformer ratio is greater than one. It means it will increase the voltage of the source or decrease its current.
On the other hand, the transformer ratio of step-down transformer is less than one. Hence, it will decrease the higher voltage to lower voltage or increase the lower current into higher current of the given source.
As per the question, we want to increase the voltage of the source.
Hence, we have to use step-up transformer.
Answer: 8 m
Explanation:
From the equation distance = velocity * time, we can find the distance from a velocity vs. time graph by finding the area under the curve, since we get that area from multiplying velocity and time together.
For the first 0.5 seconds, the velocity is 16 m/s and the change in time is 0.5.
16 * 0.5 = 8 m.
Learn more about the relationship between distance and velocity here: brainly.com/question/29409777
b. How far did you travel vertically during the 2 seconds?
c. How fast were you moving horizontally when you hit the water?
d. How fast were you moving vertically when you hit the water?