I think the answer is A.
Answer:
B. Sun was the center of the solar system.
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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Answer:9.82 m
Explanation:
As we know from equation of motion
S=v*t +0.5 a t^2
Know s=H/2
a =9.82
t=1
V=0
Plugging the values
H*0.5=0+0.5*9.82*1^2
H=9.82 m
Answer: Neither Sandra nor Marissa will be in her THR zone.
Explanation:
1) Actual pulse of both Sandra and Marissa : 144 bpm
2) Decrease of 20 bpm ⇒ 144 bpm - 20 bpm = 124 bpm
3) Sandra's TRH is in the range 135 - 172 bpm.
Since 124 < 135, she will be below the range.
4) Marissa's TRH range is 143 - 176 bpm.
Since, 124 < 143, she is below the range
In conlusion, neither Sandra nor Marissa will be in her THR zone.
B. a prism.
C. a lens.
D. an analyzer.