Answer:
3.9 m/s
Explanation:
We are given that
Mass of car,m=![2.1\times 10^3 kg](https://tex.z-dn.net/?f=2.1%5Ctimes%2010%5E3%20kg)
Initial velocity,u=0
Distance,s=5.9 m
![\theta=19^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D19%5E%7B%5Ccirc%7D)
Average friction force,f=![4.0\times 10^3 N](https://tex.z-dn.net/?f=4.0%5Ctimes%2010%5E3%20N)
We have to find the speed of the car at the bottom of the driveway.
Net force,![F_{net}=mgsin\theta-f=2.1\times 10^3\times 9.8sin19-4.0\times 10^3](https://tex.z-dn.net/?f=F_%7Bnet%7D%3Dmgsin%5Ctheta-f%3D2.1%5Ctimes%2010%5E3%5Ctimes%209.8sin19-4.0%5Ctimes%2010%5E3)
Where ![g=9.8 m/s^2](https://tex.z-dn.net/?f=g%3D9.8%20m%2Fs%5E2)
Acceleration,![a=\frac{F_{net}}{m}=\frac{2.1\times 10^3\times 9.8sin19-4.0\times 10^3}{2.1\times 10^3}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7BF_%7Bnet%7D%7D%7Bm%7D%3D%5Cfrac%7B2.1%5Ctimes%2010%5E3%5Ctimes%209.8sin19-4.0%5Ctimes%2010%5E3%7D%7B2.1%5Ctimes%2010%5E3%7D)
![v=\sqrt{2as}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B2as%7D)
![v=\sqrt{2\times \frac{2.1\times 10^3\times 9.8sin19-4.0\times 10^3}{2.1\times 10^3}\times 5.9}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B2%5Ctimes%20%5Cfrac%7B2.1%5Ctimes%2010%5E3%5Ctimes%209.8sin19-4.0%5Ctimes%2010%5E3%7D%7B2.1%5Ctimes%2010%5E3%7D%5Ctimes%205.9%7D)
v=3.9 m/s
Energy to lift something =
(mass of the object) x (gravity) x (height of the lift).
BUT ...
This simple formula only works if you use the right units.
Mass . . . kilograms
Gravity . . . meters/second²
Height . . . meters
For this question . . .
Mass = 55 megagram = 5.5 x 10⁷ grams = 5.5 x 10⁴ kilograms
Gravity (on Earth) = 9.8 m/second²
Height = 500 cm = 5.0 meters
So we have ...
Energy = (5.5 x 10⁴ kilogram) x (9.8 m/s²) x (5 m)
= 2,696,925 joules .
That's quite a large amount of energy ... equivalent to
straining at the rate of 1 horsepower for almost exactly an
hour, or burning a 100 watt light bulb for about 7-1/2 hours.
The reason is the large mass that's being lifted.
On Earth, that much mass weighs about 61 tons.
Any force of 29.4 Newtons or greater can do it.
Answer:
sample. rewrite in your own words if you'd like.
Explanation:
Since the hydrangeas are changing color depending on whether the soil is acidic or basic, they must have an indicator. This means that any hydrangea planted in acidic soil will have blue flowers and any hydrangea planted in basic soil will have pink. One common indicator present in many plants is anthocyanin, so maybe hydrangeas contain that chemical.
Answer:
Yes. The balloon moves faster when it has more electrons and the sweater has fewer electrons
Explanation:
From Plato. Hope this helps!