a warrior swings a slingshot in a horizontal circle above his head at a constant speed. The sling is 1.5 m long, and the stone has a mass of 50 g. The tension in the string is 3.3 N. When he releases the sling, what will the stone's speed be?
Answers
The speed of the stone when he releases the sling is equal to 9.95 m/s.
Given the following data:
- Length of sling (radius) = 1.5 meter
- Mass of stone = 50 grams to kg = 0.05 kg
- Tension = 3.3 Newton
To determine the speed of the stone when he releases the sling:
First of all, we would solve for the angular velocity of the stone by applying
the law of conservation of momentum.
Tension in the string = Centrifugal force of the stone
Angular velocity = 6.63 rad/s
Now, we can determine the speed of the stone when he releases the sling:
Speed, V = 9.95 m/s
Read more: brainly.com/question/17742679
Tension = Centrifugal force
T= mrw² , w = angular velocity
3.3 N = 0.05 x 1.5 x w²
w = 6.63 rps
Linear Velocity = rw = 1.5 x 6.63 = 9.945 m/s
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Answers
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%.
Final answer:
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%.
Explanation:
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. If two out-of-phase waves arrive simultaneously at a point, their amplitudes add up.
C. If two in-phase waves arrive at a point one after another, their amplitudes add up.
D. If two out-of-phase waves arrive at a point one after the other, their amplitudes adds up
Answers
Final answer:
The superposition principle states that when two in-phase waves arrive simultaneously at a point, their amplitudes add up.
Explanation:
The correct statement that describes the superposition principle is option A: If two in-phase waves arrive simultaneously at a point, their amplitudes add up. In-phase waves have the same frequency, wavelength, and direction. When two in-phase waves meet, the amplitude of the resultant wave is the sum of the individual amplitudes.
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Answers
Therefore,
3 x 0.45 x 10 = 13.5J <- it's joules because it's energy
Answers
But the only waves that could leave their source and travel
through space away from it are electromagnetic ones.
Answer:
ondas mecánicas,ondas electromagnética .
Explanation:
ondas mecánicas, como las ondas de agua de sonido, temblores del terremoto y, necesitan un medio material a través del cual viajar. Las ondas electromagnéticas, incluyendo rayos X, ondas de radio y luz visible, pueden viajar a través del vacío del espacio vacío. Estas ondas se mueven a la velocidad de la luz y consisten de vibrar campos eléctricos y magnéticos orientados en ángulos rectos entre sí.
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the initial letter of the word ' False '.
Light does not travel faster in glass than it does in vacuum.
Light travels slower in glass than it does in vacuum.
As a matter of fact, light travels slower in anything than it does
in vacuum.
Light travels faster in vacuum than in glass.
Answers
The answer is:
A) Biotic and non living
The explanation:
when Biotic refers to the component of living things that are part in ecosystem. Nonliving meaning a certain thing or the table does not have any life but it's biotic.
and we here have a wooden table that is derived from a living thing like a tree and it is nonliving as its a table.