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UNO [17]
3 years ago
6

If the mass of the earth and all objects on it were suddenly doubled, but the size remained the same, the acceleration due to gr

avity at the surface would becomeA) 1/2 of what it now is.B) 2 times what it now is.C) 1/4 of what it now is.D) the same as it now is.E) 4 times what it now is.
Physics
1 answer:
Lerok [7]3 years ago
5 0

Answer:

B) 2 times what it now is

Explanation:

The acceleration due to gravity at the surface of the Earth is given by

g=\frac{GM}{R^2}

where

G is the gravitational constant

M is the mass of the Earth

R is the Earth's radius

In this problem, the mass of the Earth is doubled:

M' = 2M

while the radius remains the same:

R' = R

so the new acceleration due to gravity would be

g'=\frac{GM'}{R'^2}=\frac{G(2M)}{R^2}=2\frac{GM}{R^2}=2g

so, the acceleration due to gravity would become twice the current value.

Note also that the value of g does not depend on the mass of the objects involved.

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1.3 kg of water, at an initial temperature of 25oC, is heated at a rate of 100 W in a well-insulated container. How much time (i
Leviafan [203]

Answer:

68.25 minutes.

Explanation:

Power = Energy/time or

Power = Heat/time

P = Q/t....................... Equation 1

Q = Pt ........................ Equation 2

Where Q = quantity of heat, P = power, t = time.

Also,

Q = cm(t₂-t₁) ................. Equation 3

Where c = specific heat capacity of water, m = mass of water, t₁ = initial temperature of water, t₂ = final temperature of water.

substitute equation 2 into equation 3

Pt = cm(t₂-t₁) ............... Equation 4

make t the subject of the equation

t = cm(t₂-t₁)/P................ Equation 5

Given: P = 100 W, m = 1.3 kg, t₁ = 25 °C, t₂ = 100 °C.

Constant: 4200 J/kg.K

Substitute into equation 5

t = 1.3(4200)(100-25)/100

t = 409500/100

t = 4095 seconds

t = (4095/60) minutes = 68.25 minutes.

Hence the time it will take the water to reach boiling point = 68.25 minutes

6 0
3 years ago
What is the force on a 1025 kg elevator that is falling freely at 9.8 m/sec 2?
kicyunya [14]

Answer:

<h2><u>Given </u><u>:</u><u>-</u></h2>
  • Mass = 1025 kg
  • Acceleration = 9.8 m/s²
<h2><u>To </u><u>Find</u><u> </u><u>:</u><u>-</u></h2>

Force

<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>

We know that

F = mg

F = 1025 × 9.8

F = 10,045 N

Or,

10045/1000 = 10.045 Kilo Newton

\\

6 0
3 years ago
4. (a) A tank containing methanol has walls 2.50 cm thick made of glass of refractive index 1.550. Light from the outside air st
zhenek [66]

Answer:

29.775°

1.911

Explanation:

Law of refraction(Snell's law):  

n_1 sin Ф_1 = n_2 sin Ф_2  

n_1 = The index of refraction for material with incident light,

n_2 = The index of refraction for material with refracted light

Ф_1= angle of incidence,

Ф_2 = angle of refraction.  

Note: the angle is measured from the normal: a line drawn perpendicular to the surface at the point where the incident ray strikes the surface.

The Part of the light which continues into the second medium is transmitted rather than reflected, but the transmitted ray changes direction as it crosses the boundary. The transmission of light from one medium to another, but with a change in direction, is called refraction. The angles of the incidence and reflected light is described by (Snells law) which is shown above.  

a)

n_3 = 1.329 —> for metalmol —> from table

1 —> in air

2 —> in the glass

3 —> in methanol  

from air to glass

n_1 sin Ф_1 = n_2 sin Ф_2  

1 x sin 41.3° =  1.550  sin Ф_2  

Ф_2 = arcsin(1*sin41.3°/1.550) = 25.201°

from glass to methanol:

n_2 sin Ф_2 = n_3 sin Ф_3  

1.550 sin 25.201° = 1.329 * sin Ф_3

Ф_3 = arcsin(1.550 sin 25.201°/1.329) = 29.775

from glass to unknown:

n_2 sin Ф_2 = n_3 sin Ф_3  

1.550 sin 25.201° = n_unknown * sin 20.2

n_unknown = 1.550 sin 25.201°/sin 20.2

                     = 1.911

5 0
2 years ago
True or false Water is a solute in moist air
Advocard [28]

Answer:

True

Explanation:

8 0
2 years ago
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A person with Parkinson's disease may sometimes experience muscle tremors and difficulty initiating movements or speech. To help
Ulleksa [173]

Answer:

dopamine is used to help with Parkinson

Explanation:

D. dopamine

3 0
2 years ago
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