Average distance of 160.0 cm. Its average time was 5.74 seconds. What is its average speed?

As a glacier melts, the volume V of the ice, measured in cubic kilometers, decreases at a rate modeled by the differential equat

DaniilM [7]

Answer:

the volume in terms of time t ⇒ $\\V = e^{0.05t} + 399\\$

Explanation:

Given that :

$\frac{dv}{dt}= kv\\\\\int\limits \, \frac{dv}{v}= \int\limits \, kdt\\In v = kt + C_1\\v = e^{kt} + C\\400 = e^{k*0} + C\\400 = 1 + C\\C = 400 -1\\C = 399$

$V = e^{kt} + 399$

When v = 300 ; $\frac{dv}{dt}= - 15$

then

$\frac{dv}{dt}= kv\\\\-15 = 300*k\\\\k = \frac{-15}{300}\\\\\\k = \frac{-1}{20}\\\\k = -0.05$

∴ $\\V = e^{0.05t} + 399\\$

Therefore, the volume in terms of time t ⇒ $\\V = e^{0.05t} + 399\\$

6 0

3 years ago

4. A car is accelerating at 40 m/s2, if the car is 400 kg how much force

Ksenya-84 [330]

Sorry I’m only in kindergarten is it 10kg must be supplied???

5 0

3 years ago

What is the separation in meters between two slits for which 617 nm orange light has its first maximum at an angle of 29. 8°?

Katen [24]

The separation between the two slits, d is related to the wavelength, and angle using the formula below. Hence, the value of d is 1.22 x 10⁻⁶ m.

For ease of calculations we take 29.8° = 30°

Using the relation :

$\frac{m * λ }{sin\theta}$

where :

d = distance between the slits

θ = 30°

λ = wavelength of light = 617 nm = 6.17 x 10⁻⁷ m

m = 1

Substituting the values into the equation :

d = 1 x 6.17 x 10⁻⁷ / 0.5 = 0.00000122 = 1.22 x 10⁻⁶ m

Therefore, the seperation between the two slits is 1.22 x 10⁻⁶ m.

The double-slit experiment is a demonstration that light and matter can display characteristics of both classically defined waves and particles; moreover, it displays the fundamentally probabilistic nature of quantum mechanical phenomena.

This type of experiment was first performed, using light, by Thomas Young in 1802, as a demonstration of the wave behavior of light. At that time it was thought that light consisted of either waves or particles.

With the beginning of modern physics, about a hundred years later, it was realized that light could in fact show behavior characteristic of both waves and particles. Young's experiment with light was part of classical physics long before the development of quantum mechanics and the concept of wave–particle duality.

Learn more about double-slit experiment here : brainly.com/question/24196355

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3 0

2 years ago

A uniform meter ruler is balanced at its midpoint

NeTakaya

Answer:

a) i) x = 0.25 m, ii) x = 0.10 m, iii) x = 0.050 m

b) i) x = 0.40 m

Explanation:

a) For this exercise we use the rotational equilibrium equation, where we assume that the anticlockwise rotations are positive.

1) L = 2W

we set our reference system in the center of the bar where the fulcrum is

∑τ = 0

W 0.50 - L x = 0

x = 0.50 W / L

we substitute the value

x = 0.50 W / 2W

x = 0.25 m

ii) L = 5W

we calculate

x = 0.50 W / 5W

x = 0.10 m

iii) L = 10 W

x = 0.50 W / 10W

x = 0.050 m

b) a new weight is placed at x₂ = 30 cm on the left side

W 0.50 + W 0.30 - L x = 0

x = (0.50 + 0.30) W / L

x = 0.80 W / L

we calculate

i) L = 2W

x = 0.80 w / 2w

x = 0.40 m

4 0

3 years ago

Which part of the brain is responsible for laying down new memories

Harlamova29_29 [7]

Answer:

Hippocampus

Explanation:

Hippocampus. The hippocampus, located in the brain's temporal lobe, is where episodic memories are formed and indexed for later access.

8 0

3 years ago

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