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3 years ago

8

What is the speed acquired by a freely falling object 4 seconds after being dropped from a rest position? Use units of meter per

second (m/s) and assume acceleration from gravity is 10 m/s2.

1 answer:

gizmo_the_mogwai [7]3 years ago

6 0

speed = 40 m/s

Explanation:

Since the object is dropped, V0y = 0.

Vy = V0y - gt

= -(10 m/s^2)(4 s)

= -40 m/s

This means that its velocity is 40 m/s downwards. Its speed is simply 40 m/s.

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3 years ago

Which vitamin, abundant in fruits and vegetables, is linked to increased immunity and the destruction of toxic substances within

Andrew [12]

Answer: Option (b) is the correct answer.

Explanation:

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4 years ago

Read 2 more answers

The concept of critical density is just like the idea of escape velocity for a projectile launched from the earth. An object lau

ikadub [295]

Answer:

v = √ 2 G M/ $R_{e}$

Explanation:

To find the escape velocity we can use the concept of mechanical energy, where the initial point is the surface of the earth and the end point is at the maximum distance from the projectile to the Earth.

Initial

Em₀ = K + U₀

Final

$Em_{f}$ = $U_{f}$

The kinetic energy is k = ½ m v²

The gravitational potential energy is U = - G m M / r

r is the distance measured from the center of the Earth

How energy is conserved

Em₀ = $Em_{f}$

½ mv² - GmM / $R_{e}$ = -GmM / r

v² = 2 G M (1 / $R_{e}$ – 1 / r)

v = √ 2GM (1 / $R_{e}$ – 1 / r)

The escape velocity is that necessary to take the rocket to an infinite distance (r = ∞), whereby 1 /∞ = 0

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5 0

3 years ago

Puffy cumulus clouds, which are made of water droplets, occur at lower altitudes in the atmosphere. Wispy cirrus clouds, which a

xxTIMURxx [149]

Answer:

4083.33 m

Explanation:

$T_0$ = 24.5°C

$\alpha$ = Constant = $\dfrac{6^{\circ}C}{1000\ m}$

The equation of temperature at a height is given by

$T=T_0-\alpha y$

The temperature at which the water will form clouds is 0°C

$0=24.5-\dfrac{6}{1000}\times y\\\Rightarrow y=\dfrac{-24.5}{-\dfrac{6}{1000}}\\\Rightarrow y=4083.33\ m$

The altitude is 4083.33 m

4 0

3 years ago

A rod 7.0 m long is pivoted at a point 2.0 m from the left end. A downward force of 50 N acts at the left end, and a downward fo

kicyunya [14]

If the rod is in rotational equilibrium, then the net torques acting on it is zero:

∑ τ = 0

Let's give the system a counterclockwise orientation, so that forces that would cause the rod to rotate counterclockwise act in the positive direction. Compute the magnitudes of each torque:

• at the left end,

τ = + (50 N) (2.0 m) = 100 N•m

• at the right end,

τ = - (200 N) (5.0 m) = - 1000 N•m

• at a point a distance d to the right of the pivot point,

τ = + (300 N) d

Then

∑ τ = 100 N•m - 1000 N•m + (300 N) d = 0

⇒ (300 N) d = 1100 N•m

⇒ d ≈ 3.7 m

6 0

2 years ago