The distance that is traveled by the astronaut given that the motion is free-fall can be calculated through the equation,

d = Vot + 0.5at²

where d is the distance, Vo is the initial velocity, t is the time, and a is the acceleration. Substituting the known,

6 = (0 m/s)(2.7 s) + 0.5(a)(2.7 s)²

Determining the value of a,
a = 1.646 m/s²

ANSWER: 1.646 m/s²

4 0

4 years ago

The speed of an electromagnetic wave traveling in a transparent nonmagnetic substance is v = 1/ κμ0ε0 , where κ is the dielectri

vladimir1956 [14]

Answer:

$v=2.24\times 10^{8}\ m/s$

Explanation:

Given that,

The speed of an electromagnetic wave traveling in a transparent nonmagnetic substance is given by :

$v=\dfrac{1}{\sqrt{k\mu_o\epsilon_o}}$

Where

k is the dielectric constant of the substance.

v is the speed of light in water

$c=\dfrac{1}{\sqrt{1.78\times 4\pi \times 10^{-7}\times 8.85\times 10^{-12}}}$

$v=2.24\times 10^{8}\ m/s$

So, the speed of light in water is $2.24\times 10^{8}\ m/s$

7 0

4 years ago

A plastic beach ball has radius 21.6 cm and mass 0.100 kg, not including the air inside. Assume the air density is 1.30 kg/m3 bo

vichka [17]

Answer: 0.1416 kg

Explanation:

Total Mass = Mass of beach ball + Mass of air inside

Mass of beach ball = 0.100 kg

Mass of air = density * volume

Density = 1.30 kg/m^3

Radius (r) = 21.6 cm = 0.216 m

Volume (sphere) = π * r^3 = π * (0.216)^3 = 0.032 m^3

Hence:

Mass of air = 1.30 * 0.032 = 0.0416 kg

Total Mass = 0.100 + 0.0416 = 0.1416 kg

3 0

3 years ago

A pelican flying along a horizontal path drops a fish from a height of 5.4 m. The fish travels 8.0 m horizontally before it hits

umka2103 [35]

Answer:

Speed, Vfx = 7.619 m/s

Explanation:

Vertical distance, Dx = 5.4m

Horizontal distance, Dy = 8m

Acceleration due to gravity, g = 9.8m/s²

Initial speed, Vix = 0m/s²

To find the speed, we would use the second equation of motion to find the time, t;

Dx = Vixt + ½gt²

Substituting into the equation, we have;

5.4 = 0(t) + ½(9.8)*t²

5.4 = 0 + 4.9t²

Rearranging the equation, we have;

4.9t² = 5.4

t² = 5.4/4.9

t² = 1.1020

Taking the square root of both sides;

t = 1.050 secs.

For the speed;

Dy = Vfxt

Vfx = Dy/t

Vfx = 8/1.050

Vfx = 7.619 m/s

<em>Therefore, the speed of the pelican is 7.619 m/s</em>

6 0

3 years ago

Convert 2.4 milimetres into metre​

Convert 2.4 milimetres into metre