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adelina 88 [10]
3 years ago
12

A person of mass m is standing on the surface of the Earth, of mass M E . What is the acceleration that the Earth experiences du

e to the person's gravitational pull?
Physics
1 answer:
Lana71 [14]3 years ago
7 0

Answer:

a_E=\dfrac{Gm}{r^2}

Explanation:

M_E = Mass of the Earth =  5.972 × 10²⁴ kg

G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²

r = Radius of Earth = 6371000 m

m = Mass of person

The force on the person will balance the gravitational force

M_Ea_E=\dfrac{GmM_E}{r^2}\\\Rightarrow a_E=\dfrac{Gm}{r^2}

The acceleration that the Earth will feel is a_E=\dfrac{Gm}{r^2}

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A car is traveling around a horizontal circular track with radius r = 210 m at a constant speed v = 23 m/s as shown. The angle θ
Fantom [35]

Centripetal acceleration of car is given by formula

a_c = \frac{v^2}{R}

now plug in the values in this

a_c = \frac{23^2}{210}

a_c = 2.52 m/s^2

Part b)

At position A we have

x component of acceleration is given as

a_x = -a_c cos23

a_x = -2.32 m/s^2

Part c)

At position A we have

y component of acceleration is given as

a_y = -a_c sin23

a_y = -0.98 m/s^2

Part d)

At position B we have

x component of acceleration is given as

a_x = -a_c cos53

a_x = -1.52 m/s^2

Part e)

At position B we have

Y component of acceleration is given as

a_y = a_c sin53

a_y = 2.01 m/s^2

6 0
3 years ago
In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great deal during the day, and he
lana [24]

Answer:8.28 km

Explanation:  

Given

First it drifts 45^{\circ} 2.5 km

r_1=2.5cos45 i+2.5sin45 j

Secondly it drifts 60^{\circ} 4.70 km

r_{12}=4.7cos60 i-4.7sin60 j

After that it drifted along east direction 5.1 km

r_{23}=5.1 i

After that it drifts 55^{\circ} 7.2 km

r_{34}=-7.2cos55 i-7.2sin55 j

After that it drifts 5^{\circ} 2.8 km

r_{54}=-2.8cos5 i+2.8sin5 j

r_{5O}=\left [ 2.5cos45+4.7cos60+5.1-7.2cos55-2.8cos5\right ]\hat{i}+\left [ 2.5sin45-4.7sin60-7.2sin55+2.8sin5\right ]\hat{j}

r_{5O}=2.299\hat{i}-7.95\hat{j}

|r_{5O}|=8.28 km

for direction

tan\theta =\frac{7.95}{2.299}=3.4580

\theta =73.87^{\circ} south of east

7 0
3 years ago
Read 2 more answers
What will happen to a periodic wave acted upon an external damping force?
OverLord2011 [107]
The wave will decrease in its frequency due to a disturbing force acting upon it.
4 0
3 years ago
Read 2 more answers
Astronomers observe two separate solar systems each consisting of a planet orbiting a sun. The two orbits are circular and have
Oxana [17]

Answer:

(D) 3

Explanation:

The angular momentum is given by:

\vec{L}=\vec{r}\ X \ \vec{p}

Thus, the magnitude of the angular momenta of both solar systems are given by:

L_1=Rm_1v_1=Rm_1(\omega R)=R^2m_1(\frac{2\pi}{T_1})=2\pi R^2\frac{m_1}{T_1}\\\\L_2=Rm_2v_2=2\pi R^2\frac{m_2}{T_2}

where we have taken that both systems has the same radius.

By taking into account that T1=3T2, we have

L_1=2\pi R^2\frac{m_1}{3T_2}=\frac{1}{3}2\pi R^2\frac{1}{T_2}m_1=\frac{1}{3}\frac{L_2}{m_2}m_1

but L1=L2=L:

L=\frac{1}{3}L\frac{m_1}{m_2}\\\\\frac{m_1}{m_2}=3

Hence, the answer is (D) 3

HOPE THIS HELPS!!

3 0
3 years ago
sticking your fingers into a wall socket will not bring you into direct contact with an electrical current. true or false
SCORPION-xisa [38]
The correct answer is false cause how can u fit your finger in a wall something it's to small
3 0
3 years ago
Read 2 more answers
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