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alexdok [17]
3 years ago
10

The gravitational force between the Sun (mass -1.99 1030 kg) and Mercury (mass 3.30 x 1023 kg) is 899 1021 N. How far is Mercury

from the Sun?
Physics
2 answers:
Daniel [21]3 years ago
7 0
The gravitational force between the two objects is given by:
F=G  \frac{m_1 m_2}{d^2}
where
G=8.99 \cdot 10^{-11} m^3 kg^{-1} s^{-2} is the gravitational constant
m_1 = 1.99 \cdot 10^{30} kg is the Sun mass
m_2 = 3.30 \cdot 10^{23} kg is the mass of Mercury
and d is the distance between Sun and Mercury. Since we know the force:
F=8.99 \cdot 10^{21} N
we can re-arrange the formula to find d:
d= \sqrt{ G \frac{m_1 m_2}{F} }=6.98 \cdot 10^{10}m
balandron [24]3 years ago
5 0

Answer:

B - 6.98 x 10^7 km

Explanation:

took it on egde

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A solenoid used to produce magnetic fields for research purposes is 2.1 m long, with an inner radius of 28 cm and 1000 turns of
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Answer:

I = 2172.46 A

Explanation:

Given that,

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The inner radius of the solenoid, r = 28 cm = 0.28 m

The number of turns in the wire, N = 1000

The magnetic field in the solenoid, B = 1.3 T

We need to find the current carried by it. We know that, the magnetic field in a solenoid is given by :

B=\mu_o nI\\\\or\\\\B=\mu_o \dfrac{N}{L}I\\\\I=\dfrac{BL}{\mu_o N}

Put all the values,

I=\dfrac{1.3\times 2.1}{4\pi \times 10^{-7}\times 1000}\\\\I=2172.46\ A

So, it carry current of 2172.46 A.

7 0
3 years ago
A uniform solid disk of mass 5.00 kg and diameter 47.0 cm starts from rest and rolls without slipping down a 40.0 ∘ incline that
saveliy_v [14]

Answer:

The speed it reaches the bottom is

v=6.51m/s

Explanation:

Given: m=5.0kg, r=47cm\frac{1m}{100cm}=0.47m

Using the conservation of energy theorem

U_i=K_E+K_{ER}

m*g*h=\frac{1}{2}*m*v^2+\frac{1}{2}*I*w^2

v=r*w, I=\frac{1}{2}*m*r^2

m*g*h=\frac{1}{2}*m*(r*w)^2 +\frac{1}{2}*[\frac{1}{2} *m*r^2]*w^2

m*g*h=\frac{3}{4}*m*r^2*w^2

g*h=\frac{3}{4}*r^2*w^2

Solve to w'

w^2=\frac{4*g*h}{3*r^2}

h=x*sin(30)=6.5m*sin(30)=3.25m

w=\sqrt{\frac{4*9.8m/s^2*3.25m}{3*(0.235m)^2}}

w=27.74rad/s

v=27.74rad/s*0.235m=6.51m/s

7 0
3 years ago
Coming to the bottom of a mountain, a skier moving with speed v collides with a barrier and is brought to a stop in an amount of
IRISSAK [1]

Answer:

Explanation:

Impulse of a force is measured by force x time or F X t

Impulse also equals change in momentum or

F x t = m v₂ - m v₁

The given case is as follows

in the first case

F x t = mv - o = mv

F = mv / t

in the second case

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F₁ = 1/4 x mv /t

F₁ = F / 4

option a) is correct .

iii )

In the last case

F₂ X t = m v/2 -0

F₂ = 1/2 x mv / t

= 1/2 x F

F₂ = F/2

Option e ) is correct.

8 0
2 years ago
Which statement is correct? Theories are accepted as true when a single experiment yields similar results to another one. When a
levacccp [35]
The third statement is correct.

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Answer:70 m/s or 6.84 s

Explanation:

8 0
3 years ago
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