Speed is the magnitude of velocity.
Velocity depends on both magnitude as well as direction.
Since speed is constant, direction of the object must be changed to make velocity not constant or to make velocity variable.
Hope this helps, have a great day ahead!
Answer:
2.13 s
Explanation:
Hi!
At t = 0s the rocket is at rest in its platform, so the intial speed is zero. I f the acceleration is A, then the height Y, and the speed V are:
![Y=\frac{A}{2}t^2](https://tex.z-dn.net/?f=Y%3D%5Cfrac%7BA%7D%7B2%7Dt%5E2)
![V=At](https://tex.z-dn.net/?f=V%3DAt)
We nedd to find time T during which the rocket engine provides upward acceleration. We know that:
![64\;m=\frac{A}{2}T^2\\ 60\frac{m}{s} =AT\\](https://tex.z-dn.net/?f=64%5C%3Bm%3D%5Cfrac%7BA%7D%7B2%7DT%5E2%5C%5C%2060%5Cfrac%7Bm%7D%7Bs%7D%20%3DAT%5C%5C)
With these 2 equations we can find A and T (dropping units for simplicity):
![A=\frac{60}{T} \\64 =\frac{30}{T} T^2=30T\\T=\frac{64}{30}\approx 2.13\;s](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B60%7D%7BT%7D%20%5C%5C64%20%3D%5Cfrac%7B30%7D%7BT%7D%20T%5E2%3D30T%5C%5CT%3D%5Cfrac%7B64%7D%7B30%7D%5Capprox%202.13%5C%3Bs)
Answer:
The Enlightenment
Explanation:
The Enlightenment, often recognized as the Enlightenment period, was indeed a philosophical revolution that occurred during late 17th & early 18th centuries, mainly in Europe and afterward in North America.
The Enlightenment had a variety of reason-centered theories as the main source of information and intensive ideals like freedom, improvement, tolerance, brotherhood, legal governance and freedom of religion.
Answer:
2 m/s²
Explanation:
Acceleration is change in velocity over change in time.
a = Δv / Δt
a = (18 m/s − 10 m/s) / 4 s
a = 2 m/s²
Answer:
Explanation:
The weight of the bee is:
![W=mg=(120\times10^{-6}kg)(9.81\frac{m}{s^{2}})=1.18\times10^{-3}N](https://tex.z-dn.net/?f=%20W%3Dmg%3D%28120%5Ctimes10%5E%7B-6%7Dkg%29%289.81%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D%29%3D1.18%5Ctimes10%5E%7B-3%7DN)
with m the mass and g the gravity acceleration.
Electric force of the bee is related with the electric field of earth by:
![F_{e}=qE=(23\times10^{-12}C)(100\frac{N}{C})=2.3\times10^{-9}](https://tex.z-dn.net/?f=F_%7Be%7D%3DqE%3D%2823%5Ctimes10%5E%7B-12%7DC%29%28100%5Cfrac%7BN%7D%7BC%7D%29%3D2.3%5Ctimes10%5E%7B-9%7D%20)
with q the charge, E the electric field and Fe the electric force.
So:
![\frac{F}{W}=\frac{2.3\times10^{-9}}{1.18\times10^{-3}}=1.95\times10^{-6}](https://tex.z-dn.net/?f=%20%5Cfrac%7BF%7D%7BW%7D%3D%5Cfrac%7B2.3%5Ctimes10%5E%7B-9%7D%7D%7B1.18%5Ctimes10%5E%7B-3%7D%7D%3D1.95%5Ctimes10%5E%7B-6%7D)
Because Newton's first law we should make the net force on it equals cero:
![F+F_e+W=0](https://tex.z-dn.net/?f=%20F%2BF_e%2BW%3D0)
![F=-(F_e+W)=-(2.3\times10^{-9} +1.18\times10^{-3})=-1.1800023\times10^{-3}](https://tex.z-dn.net/?f=F%3D-%28F_e%2BW%29%3D-%282.3%5Ctimes10%5E%7B-9%7D%20%2B1.18%5Ctimes10%5E%7B-3%7D%29%3D-1.1800023%5Ctimes10%5E%7B-3%7D%20)
with W the weight, Fe the electric force on the bee due earth's electric field and F the force.
So, the applied electric field should be:
![E_a=\frac{-1.1800023\times10^{-3}}{23\times10^{-12}}=-51304447 \frac{N}{C}](https://tex.z-dn.net/?f=E_a%3D%5Cfrac%7B-1.1800023%5Ctimes10%5E%7B-3%7D%7D%7B23%5Ctimes10%5E%7B-12%7D%7D%3D-51304447%20%5Cfrac%7BN%7D%7BC%7D%20)
The negative sign indicates that the electric field should be opposite to earth's electric field, so it should be upward.