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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c. measurements
b. critical thinking
d. models
Answer:
critical thinking
Explanation:
To evaluate the observations you make, you must use __critical thinking __.
Critical thinking is an way of thinking in which a person improves the quality of his thinking by skillfully analyzing, accessing and reconstructing it. It is self directed, self disciplined and self monitored and self corrective thinking. A well cultivated critical thinker raises vital questions, gathers and assesses relevant information, and thinks openmindedly.
Answer: The kinetic energy of the ball at the maximum height is zero.
Explanation -
As per the question, the ball is moving vertically upwards. Every time it's velocity will decrease and it becomes zero at the maximum height.
Whole of ball's initial kinetic energy is converted into potential energy at maximum height.
Thus we can conclude that the kinetic energy is zero at the maximum height.
How long is the ball in the air?
Round the answer to two significant digits
Answer:
The correct answer is t = 0.92s
Explanation:
Initial velocity v0 = 3.0 m/s
Displacement Δy = ?
Acceleration a = -9.8m/s2
Final velocity v = -6.0m/s
Time t=? Target unknown
We can use the kinematic formula missing Δy to solve for the target unknown t:
V=v0+at
We can rearrange the equation to solve to t:
V-v0=at
t= v-v0/a
Substituting the known value into the kinematic formula gives:
t= (-6.0m/s)-(3.0m/s)
————————————
-9.8m/s2
= -9m/s
—————-
-9.8m/s2
=0.92s
Sarah throws a ball directly upward at the edge of a cliff with a starting velocity of 3.0 m/s. It lands on the ground with a final speed of 6.0 m/s.
How long is the ball in the air?
Answer: 0.92