Answer:
The drill's angular displacement during that time interval is 24.17 rad.
Explanation:
Given;
initial angular velocity of the electric drill,
= 5.21 rad/s
angular acceleration of the electric drill, α = 0.311 rad/s²
time of motion of the electric drill, t = 4.13 s
The angular displacement of the electric drill at the given time interval is calculated as;
![\theta = \omega _i t \ + \ \frac{1}{2}\alpha t^2\\\\\theta = (5.21 \ \times \ 4.13) \ + \ \frac{1}{2}(0.311)(4.13)^2\\\\\theta = (21.5173 ) \ + \ (2.6524)\\\\\theta =24.17 \ rad](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Comega%20_i%20t%20%5C%20%2B%20%5C%20%5Cfrac%7B1%7D%7B2%7D%5Calpha%20t%5E2%5C%5C%5C%5C%5Ctheta%20%3D%20%285.21%20%5C%20%5Ctimes%20%5C%204.13%29%20%5C%20%2B%20%5C%20%5Cfrac%7B1%7D%7B2%7D%280.311%29%284.13%29%5E2%5C%5C%5C%5C%5Ctheta%20%3D%20%2821.5173%20%29%20%5C%20%2B%20%5C%20%282.6524%29%5C%5C%5C%5C%5Ctheta%20%3D24.17%20%5C%20rad)
Therefore, the drill's angular displacement during that time interval is 24.17 rad.
During that final period of time,
his acceleration is
(9 m/s - 5 m/s) / (4 sec) = 1 m/s² .
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Answer:
Mass = 0.04 Kg
Explanation:
Given the following data;
Density = 800 kg/m³
Volume = 5 * 10^{-5} m³
To find the mass of the object;
Density can be defined as mass all over the volume of an object.
Simply stated, density is mass per unit volume of an object.
Mathematically, density is given by the formula;
![Density = \frac {mass}{volume}](https://tex.z-dn.net/?f=%20Density%20%3D%20%5Cfrac%20%7Bmass%7D%7Bvolume%7D%20)
Making mass the subject of formula, we have;
![Mass = density * volume](https://tex.z-dn.net/?f=%20Mass%20%3D%20density%20%2A%20volume%20)
Substituting the values into the formula, we have;
![Mass = 800 * 5 * 10^{-5}](https://tex.z-dn.net/?f=%20Mass%20%3D%20800%20%2A%205%20%2A%2010%5E%7B-5%7D%20%20)
Mass = 0.04 Kg
Answer:
<em>faster and at a higher luminosity and temperature.</em>
Explanation:
A protostar looks like a star but its core is not yet hot enough for fusion to take place. The luminosity comes exclusively from the heating of the protostar as it contracts. Protostars are usually surrounded by dust, which blocks the light that they emit, so they are difficult to observe in the visible spectrum.
A protostar becomes a main sequence star when its core temperature exceeds 10 million K. This is the temperature needed for hydrogen fusion to operate efficiently.
Stars above about 200 solar masses (Higher mass) generate power so furiously that gravity cannot contain their internal pressure. These stars blow themselves apart and do not exist for long if at all. A protostar with less than 0.08 solar masses never reaches the 10 million K temperature needed for efficient hydrogen fusion. These result in “failed stars” called brown dwarfs which radiate mainly in the infrared and look deep red in color. They are very dim and difficult to detect, but there might be many of them, and in fact they might outnumber other stars in the universe.
That is why higher mass protostars enter the main sequence at a <em>faster and at a higher luminosity and temperature.</em>
Yes. Even greater. Air resistance or drag becomes harder the faster an object goes. This is why when cars reach their max speed they don't accelerate as fast, because they are pushing harder against the wind. If I take a tennis ball and shoot it down a bottomless pit, a 400 kph, the drag will slow the ball down till it reaches terminal velocity.