Answer:
Explanation:
The acceleration of gravity is 9.8m/s^2.
So to calculate the time it will take to make the ball stop(which btw means the ball now reach its greatest height), use the formula V1=V0+at. V1 is the final velocity(which is 0), V0 is the starting velocity(which is 30m/s), and the a(cceleration) is 9.8m/s^2.
(You can ignore the fact "at" is -30 instead 30, it's because the directions two velocity travel are opposite. )
We can now know the time it takes to make the ball stop just by the gravitational force is about 3 sec.
Use another formula S=1/2at^2, to find out the S(height) is 1/2*9.8*3^2=44.1, which is approximately D.45m .
Answer:
1. ![t_2 = 2t_1](https://tex.z-dn.net/?f=t_2%20%3D%202t_1)
2. ![t_2 = t_1\sqrt{2}](https://tex.z-dn.net/?f=t_2%20%3D%20t_1%5Csqrt%7B2%7D)
Explanation:
1. According to Newton's law of motion, the puck motion is affected by the acceleration, which is generated by the push force F.
In Newton's 2nd law: F = ma
where m is the mass of the object and a is the resulted acceleration. So in the 2nd experiment, if we double the mass, a would be reduced by half.
![a_1 = 2a_2](https://tex.z-dn.net/?f=a_1%20%3D%202a_2)
Since the puck start from rest, in the 1st experiment, to achieve speed of v it would take t time
![t = v / a_1](https://tex.z-dn.net/?f=t%20%3D%20v%20%2F%20a_1)
Now that acceleration is halved:
![t = \frac{v}{2a_2}](https://tex.z-dn.net/?f=%20t%20%3D%20%5Cfrac%7Bv%7D%7B2a_2%7D)
![\frac{v}{a_2} = 2t](https://tex.z-dn.net/?f=%20%5Cfrac%7Bv%7D%7Ba_2%7D%20%3D%202t)
You would need to push for twice amount of time ![t_2 = 2t_1](https://tex.z-dn.net/?f=t_2%20%3D%202t_1)
2. The distance traveled by the puck is as the following equation:
![d = at^2](https://tex.z-dn.net/?f=d%20%3D%20at%5E2)
So if the acceleration is halved while maintaining the same d:
![\frac{d_1}{d_2} = \frac{a_1t_1^2/2}{a_2t_2^2/2}](https://tex.z-dn.net/?f=%5Cfrac%7Bd_1%7D%7Bd_2%7D%20%3D%20%5Cfrac%7Ba_1t_1%5E2%2F2%7D%7Ba_2t_2%5E2%2F2%7D)
As
, then
. Also ![a_1 = 2a_2](https://tex.z-dn.net/?f=a_1%20%3D%202a_2)
![1 = \frac{2a_2t_1^2}{a_2t_2^2}](https://tex.z-dn.net/?f=1%20%3D%20%5Cfrac%7B2a_2t_1%5E2%7D%7Ba_2t_2%5E2%7D)
![t_2^2 = 2t_1^2](https://tex.z-dn.net/?f=%20t_2%5E2%20%3D%202t_1%5E2)
![t_2 = t_1\sqrt{2}\approx 1.14t_1](https://tex.z-dn.net/?f=t_2%20%3D%20t_1%5Csqrt%7B2%7D%5Capprox%201.14t_1)
So t increased by 1.14
Answer: distance d = 4.73e10m
Explanation: Suppose the charge on the black hole is 5740 C which is a positive charge.
Using electric potential V formula:
V = kq / d
Where K = 9.05×10^9Nm^2/C
And e = 1.6×10^-19C
But you don't need to substitute it.
1090 V = 8.99e9N·m²/C² * 5740C /d
Make d the subject of formula
d = 4.73e10 m
The answer here would be infrared waves. Hot objects and humans give off heat in the form of infrared light, thermal imaging technology in the goggles enable them to catch this light emitted by these objects
Answer:
100 cc
Explanation:
Heat released in cooling human body by t degree
= mass of the body x specific heat of the body x t
Substituting the data given
Heat released by the body
= 70 x 3480 x 1
= 243600 J
Mass of water to be evaporated
= 243600 / latent heat of vaporization of water
= 243600 / 2420000
= .1 kg
= 100 g
volume of water
= mass / density
= 100 / 1
100 cc
1 / 10 litres.