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Anettt [7]
3 years ago
9

A 90-kg skydiver jumps from a height of 6000 m above the ground, falling head-first (pike position). The area of the diver is 0.

14 m2. The value for C is 1.0, and the density of air is 1.21 kg/m3. Determine the terminal velocity.
Physics
1 answer:
zzz [600]3 years ago
5 0

Answer:

102.097252061 m/s

Explanation:

F = Force

m = Mass = 90 kg

g = Acceleration due to gravity = 9.81 m/s² = a

C = Drag coefficient = 1

ρ = Density of air = 1.21 kg/m³

A = Surface area = 0.14 m²

v = Terminal velocity

Force is given by

F = ma

F=\dfrac{1}{2}\rho CAv^2\\\Rightarrow ma=\dfrac{1}{2}\rho CAv^2\\\Rightarrow v=\sqrt{2\dfrac{ma}{\rho CA}}\\\Rightarrow v=\sqrt{2\dfrac{90\times 9.81}{1.21\times 1\times 0.14}}\\\Rightarrow v=102.097252061\ m/s

Terminal velocity of the skydiver is 102.097252061 m/s

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A baseball with mass 0.145 kg is moving in the+y direction with a speed of 2.10m/s, and a tennis ball with mass 0.0570 kg is mov
Artist 52 [7]

Answer:

d. -y direction

Explanation:

Given that

m₁=0.145 kg, u₁=2.1 j m/s

m₂= 0.0570 kg ,  u₂ = -8.8 j m/s

We know that linear momentum is the product of mass and velocity

P= Mass x velocity

Therefore the total linear momentum P

P= m₁u₁+ m₂u₂

Now by putting the values

P = 0.145 x ( 2.1 j) + 0.057 ( - 8.8 j)  kg.m/s

P =0.3045 j - 0.5016 j   kg.m/s

P=  - 0.1971 j kg.m/s

P= 0.1971 (- j) kg.m/s

So we can say that the direction of the liner momentum of the system will be in the negative y -direction.

d. -y direction

7 0
3 years ago
A spaceprobe in outer space is flying with a constant speed of 1.795 km/s. The probe has a payload of 1635.0 kg and it carries 4
erma4kov [3.2K]

The speed by which the spaceprobe travels when all the rocket fuel is used up will be 29.262 m/sec.

<h3>What is the law of conservation of linear momentum?</h3>

According to the law of conservation of linear momentum before the collision is equal to the momentum after the collision. These laws state how momentum gets conserved.

Unit conversion;

1 km/sec = 1000 m/sec

Given data;

Spaceprobe speed  = 1.795 km/s = 1795 m /sec

Probe mass = 635.0 kg

Fuel mass = 4092.0 kg

Expelled propellent velocity = 4.161 km/s = 41461 m/sec

From the momentum conservation principle;

\rm P_i = P_f \\\\ (m_p+m_f)v_i = m_pV - m_fv_p \\\\ V = \frac{(635+4092)1795+4092 \times  41461}{635} \\\\ V = 280540.7 \ m/sec \\\\ V = 28.05 m/sec

Hence, the speed by which the spaceprobe travels when all the rocket fuel is used up will be 29.262 m/sec.

To learn more about the law of conservation of momentum refer to:

brainly.com/question/1113396

#SPJ1

7 0
2 years ago
Suppose oil spills from a ruptured tanker and spreads in a circular pattern. if the radius of the oil spill increases at a const
ladessa [460]

The solution would be like this for this specific problem:

 

Given:

 

Oil spill radius constant rate increase = 1 m/s

r = 34m

 

Let the area of the spill be A and then let its radius be r. <span>
Then A = π r². </span>

 

Differentiating with respect to t: <span>
dA / dt = 2π r dr / dt. </span>

 

Substituting r = 34 and dr / dt = 1: 

 

dA/dt = 2 π * r * dr / dt

 

dA/dt = 2π * 34 * 1 = 68π = 214 m²/s, to 3 significant figures. 

 

<span>So, given that the radius is 34m, then the area of the spill is increasing at 214 m²/s.</span>

6 0
3 years ago
Sport is an attractive activity for young people, and is often used as a draw card to recruit children and .....................
Nataliya [291]

Young people

Explanation:

cuz old people can't do sports

3 0
1 year ago
If the surface air pressure is 1000 mb and the pressure at the top of the atmosphere (75 km) is 0 mb, at what altitude would I f
Lana71 [14]

Answer: 5.5km

Explanation:

Atmospheric pressure will be 500 mb (that is half of the total 1000mb air pressure).

Pressure decreases with increasing altitude. This is because at At higher altitudes, there are fewer air molecules above a the known or given surface than a similar surface at lower levels.

Pressure decreasing with higher altitudes also means that  air pressure decreases rapidly at lowerevels but more slowly at higher levels.

It is also known that more than half of the atmospheric molecules are located below 5.5 km(that is atmospheric pressure decreases within the lowest 5.5 km to about fifty(50) percent( that is 500 millibar).

8 0
3 years ago
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