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emmainna [20.7K]
2 years ago
12

A 5.6 g marble is fired vertically upward using a spring gun. The spring must be compressed 6.4 cm if the marble is to just reac

h a target 15 m above the marble's position on the compressed spring. What is the change in the gravitational potential energy of the marble-Earth system during the 15 m ascent
Physics
1 answer:
N76 [4]2 years ago
5 0

Answer: im not gonna give i to you just do 15+15=_+ 5.6+6.4 easy

Explanation: i took the test and got a 100%

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A spherical balloon has a radius of 6.35 m and is filled with helium. The density of helium is 0.179 kg/m3, and the density of a
RSB [31]

Answer: 201 kg.

Explanation:

There are two forces acting (both vertically) on the balloon and the cargo: gravity (downward) and the buoyant force (upward).

If we need that the balloon remain in the air, the buoyant force must be equal to the weight of the balloon and the cargo, as follows:

Fg = Fb

In order to get Fg, we must add the mass of the helium (expressed as a product of the density times the volumen of the balloon, assumed spherical), the mass of the skin and the structure of the balloon, and the mass of the cargo itself, as follows:

Fg = (δHe . 4/3 π r3 + mcargo + mstruct) g (1)

The buoyant force, is equal to the weight of the volumen of the air displaced by the balloon (which is equal to the volumen of the entire balloon as it is completely submerged in air) , which can be written as follows:

Fb = δ air . 4/3 π r3 g (2)

Simplyfing, replacing by the values of δHe, δair, r, and mstruct, and solving for mcargo, we finally get:

mcargo = (4/3 π (6.35m)3 (1.29 kg/m3 – 0.179 kg/m3)) – 990 kg

mcargo =  201 kg.

8 0
3 years ago
How can using a combination of environmental policy tools be beneficial?
Ne4ueva [31]
Using a combination of environmental  policy tools can be beneficial because it is renewable source that us humans can use repeatedly. Also, if you think about it in terms of the Earth we live in we burn fossil fuels, so that limits or reduces the amount of gas we are burning out and produces clean air for plants and humans to live in.
8 0
3 years ago
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A centrifuge in a medical laboratory rotates at an angular speed of 3,400 rev/min. When switched off, it rotates through 52.0 re
eduard

The constant angular acceleration (in rad/s2) of the centrifuge is 194.02 rad/s².

<h3> Constant angular acceleration</h3>

Apply the following kinematic equation;

ωf² = ωi² - 2αθ

where;

  • ωf is the final angular velocity when the centrifuge stops = 0
  • ωi is the initial angular velocity
  • θ is angular displacement
  • α is angular acceleration

ωi = 3400 rev/min x 2π rad/rev x 1 min/60s = 356.05 rad/s

θ = 52 rev x 2π rad/rev = 326.7 rad

0 = ωi² - 2αθ

α = ωi²/2θ

α = ( 356.05²) / (2 x 326.7)

α = 194.02 rad/s²

Thus, the constant angular acceleration (in rad/s2) of the centrifuge is 194.02 rad/s².

Learn more about angular acceleration here: brainly.com/question/25129606

#SPJ1

7 0
1 year ago
All matter is made up of tiny.------
Alinara [238K]
All matter is made up of tiny particles
7 0
3 years ago
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An airplane flying at a speed of 130 mi/h (58.1 m/s) and at an altitude of 4.9 km drops a food package. Without a parachute, at
telo118 [61]

The food package will strike the ground at 11 degrees below the horizontal.

<h3>Time for the food package to hit the ground</h3>

The time for the food package to hit the ground is calculated as follows;

h = vt + ¹/₂gt²

<em>let the initial velocity be horizontal</em>

4900 = 0(t) + (0.5 x 9.8)t²

4900 = 4.9t²

t² = 4900/4.9

t² = 1,000

t = √1,000

t = 31.62 s

<h3> Final speed of the food package when it hits ground</h3>

vf(y) = vo + gt

vf(y) = 0 + (31.62 x 9.8)

vf(y) = 309.88 m/s

<h3>Angle of projection</h3>

The horizontal component of the speed will be constant, while vertical component will change

tan(\theta ) = \frac{V_y}{V_x} \\\\\theta = tan^{-1} (\frac{V_y}{V_x})\\\\\theta = tan^{-1} (\frac{309.88}{58.1} )\\\\\theta = 79^0

Angle below the horizontal = 90 - 79 = 11⁰

Thus, the food package will strike the ground at 11 degrees below the horizontal.

Learn more about angle of projection here: brainly.com/question/10671136

4 0
2 years ago
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