Answer:
![F_{sprinter}=110.4N](https://tex.z-dn.net/?f=F_%7Bsprinter%7D%3D110.4N)
Explanation:
Given data
Mass m=67.0 kg
Final Speed vf=8.00 m/s
Initial Speed vi=2.00 m/s
Distance d=25.0 m
Force F=30.0 N
From work-energy theorem we know that the work done equals the change in kinetic energy
W=ΔK=Kf-Ki=1/2mvf²-1/2mvi²
And
![W=F_{total}.d](https://tex.z-dn.net/?f=W%3DF_%7Btotal%7D.d)
So
![W=1/2mv_{f}^2-1/2mv_{i}^2\\F_{total}=\frac{1/2mv_{f}^2-1/2mv_{i}^2}{d} \\F_{total}=\frac{1/2(67.0kg)(8.00m/s)^2-1/2(67.0kg)(2.00m/s)^2}{25.0m} \\F_{total}=80.4N](https://tex.z-dn.net/?f=W%3D1%2F2mv_%7Bf%7D%5E2-1%2F2mv_%7Bi%7D%5E2%5C%5CF_%7Btotal%7D%3D%5Cfrac%7B1%2F2mv_%7Bf%7D%5E2-1%2F2mv_%7Bi%7D%5E2%7D%7Bd%7D%20%5C%5CF_%7Btotal%7D%3D%5Cfrac%7B1%2F2%2867.0kg%29%288.00m%2Fs%29%5E2-1%2F2%2867.0kg%29%282.00m%2Fs%29%5E2%7D%7B25.0m%7D%20%5C%5CF_%7Btotal%7D%3D80.4N)
and we know that the force the sprinter exerted Fsprinter the force of the headwind Fwind=30.0N
So
T= 3.34
Vi= 0
A= 9.81
D= ?
d=Vit+1/2at^2
d= 1/2(9.81)(3.34)2
d= 54.7 or 55 meters tall
Answer:
New volume of the baloon is 0.02325m^3
Explanation:
To answer this question we need to know the ideal gas law, which says:
p•V = n•R•T
p is pressure, V is volume, n is amount of substance (in moles), R is constant value and T is temperature.
Since it's stated that n and T are constant, and we know that R is a constant too, that means that p•V = constant value. Basically, that means that p1•V1 (pressure and volume before the pressure increase) equals to p2•V2 (pressure and volume after the pressure increase).
That means that:
100000 Pa • 0.0279 m^3 = 120000 Pa • V2. Next, V2= 100000•0.0279/120000. So, V2=0.02325m^3.
#1). Anthony does the same amount of work as Angel, with <em>more power</em>.
#2). Power = (Work)/(Time) = 41,000 J / 500 s = <em>82 watts .</em>
#3). Power = (Work) / (Time) = 83 J / 3 sec = <em>27.7 watts</em>