Answer:
From what I see, it's saying that every minute, the ant can move 30 meters. So how many meter would it move in 45 minutes?
30 meters = 1 min
x meters = 45 min
1 min x 45 = 45 min
30 meters x 45 = 1,350 meters
So, I believe the answer would be 1,350 meters.
hope this helps. :>
The common<span> feature is that the atoms of </span>all elements<span> consist of electrons, protons, and neutrons. Hope this helps!</span>
Answer:
The kinetic energy is: 50[J]
Explanation:
The ball is having a potential energy of 100 [J], therefore
PE = [J]
The elevation is 10 [m], and at this point the ball is having only potential energy, the kinetic energy is zero.
![E_{p} =m*g*h\\where:\\g= gravity[m/s^{2} ]\\m = mass [kg]\\m= \frac{E_{p} }{g*h}\\ m= \frac{100}{9.81*10}\\\\m= 1.01[kg]\\\\](https://tex.z-dn.net/?f=E_%7Bp%7D%20%3Dm%2Ag%2Ah%5C%5Cwhere%3A%5C%5Cg%3D%20gravity%5Bm%2Fs%5E%7B2%7D%20%5D%5C%5Cm%20%3D%20mass%20%5Bkg%5D%5C%5Cm%3D%20%5Cfrac%7BE_%7Bp%7D%20%7D%7Bg%2Ah%7D%5C%5C%20m%3D%20%5Cfrac%7B100%7D%7B9.81%2A10%7D%5C%5C%5C%5Cm%3D%201.01%5Bkg%5D%5C%5C%5C%5C)
In the moment when the ball starts to fall, it will lose potential energy and the potential energy will be transforme in kinetic energy.
When the elevation is 5 [m], we have a potential energy of
![P_{e} =m*g*h\\P_{e} =1.01*9.81*5\\\\P_{e} = 50 [J]\\](https://tex.z-dn.net/?f=P_%7Be%7D%20%3Dm%2Ag%2Ah%5C%5CP_%7Be%7D%20%3D1.01%2A9.81%2A5%5C%5C%5C%5CP_%7Be%7D%20%3D%2050%20%5BJ%5D%5C%5C)
This energy is equal to the kinetic energy, therefore
Ke= 50 [J]
The sun’s gravitational attraction and the planet’s inertia keeps planets moving is circular orbits.
Explanation:
The planets in the Solar System move around the Sun in a circular orbit. This motion can be explained as a combination of two effects:
1) The gravitational attraction of the Sun. The Sun exerts a force of gravitational attraction on every planet. This force is directed towards the Sun, and its magnitude is
![F=G\frac{Mm}{r^2}](https://tex.z-dn.net/?f=F%3DG%5Cfrac%7BMm%7D%7Br%5E2%7D)
where
G is the gravitational constant
M is the mass of the Sun
m is the mass of the planet
r is the distance between the Sun and the planet
This force acts as centripetal force, continuously "pulling" the planet towards the centre of its circular orbit.
2) The inertia of the planet. In fact, according to Newton's first law, an object in motion at constant velocity will continue moving at its velocity, unless acted upon an external unbalanced force. Therefore, the planet tends to continue its motion in a straight line (tangential to the circular orbit), however it turns in a circle due to the presence of the gravitational attraction of the Sun.
Learn more about gravity:
brainly.com/question/1724648
brainly.com/question/12785992
#LearnwithBrainly
Explanation:
It is given that, the position of a particle as as function of time t is given by :
![r(t)=(8t+9)i+(2t^2-8)j+6tk](https://tex.z-dn.net/?f=r%28t%29%3D%288t%2B9%29i%2B%282t%5E2-8%29j%2B6tk)
Let v is the velocity of the particle. Velocity of an object is given by :
![v=\dfrac{dr(t)}{dt}](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7Bdr%28t%29%7D%7Bdt%7D)
![v=\dfrac{d[(8t+9)i+(2t^2-8)j+6tk]}{dt}](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7Bd%5B%288t%2B9%29i%2B%282t%5E2-8%29j%2B6tk%5D%7D%7Bdt%7D)
![v=(8i+4tj+6k)\ m/s](https://tex.z-dn.net/?f=v%3D%288i%2B4tj%2B6k%29%5C%20m%2Fs)
So, the above equation is the velocity vector.
Let a is the acceleration of the particle. Acceleration of an object is given by :
![a=\dfrac{dv(t)}{dt}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7Bdv%28t%29%7D%7Bdt%7D)
![a=\dfrac{d[8i+4tj+6k]}{dt}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7Bd%5B8i%2B4tj%2B6k%5D%7D%7Bdt%7D)
![a=(4j)\ m/s^2](https://tex.z-dn.net/?f=a%3D%284j%29%5C%20m%2Fs%5E2)
At t = 0, ![v=(8i+0+6k)\ m/s](https://tex.z-dn.net/?f=v%3D%288i%2B0%2B6k%29%5C%20m%2Fs)
![v(t)=\sqrt{8^2+6^2} =10\ m/s](https://tex.z-dn.net/?f=v%28t%29%3D%5Csqrt%7B8%5E2%2B6%5E2%7D%20%3D10%5C%20m%2Fs)
Hence, this is the required solution.