The ________ and ________ are used to resolv

A long thin rod of mass M and length L is situated along the y axis with one end at the origin. A small spherical mass m1 is pla

Yuri [45]

Answer:

$= - 5.65\times 10^{-2} J$

Explanation:

Given data:

L =2.00 *10^4 m

d = 18*10^4 m

M = 18 *10^6 kg

m_1 = 8*10^6 kg

Gravitational energy is given as

$U =- G \frac{m_1 m_2}{r}$

mass per unit length is given as

$\sigma = \frac{M}{L} = \frac{18 \times 10^6}{2\times 10^4 m} = 900 kg/m$

calculating potential energy

$dU ==-G\int_{16\times 10^4}^{18\times 10^4} \frac{m_1 *dm}{r}$

$=-G\int_{16\times 10^4}^{18\times 10^4} \frac{m_1 *\sigma dr}{r}$

$=-G*m_1*\sigma\int_{16\times 10^4}^{18\times 10^4} \frac{dr}{r}$

$=-G*m_1*\sigma \left | ln r \right |_{16\times 10^4}^{18\times 10^4}$

$=-G*m_1*\sigma ln(1.125)$

$=-6.673 \times 10^{-11}*8*10^6*900*ln(1.125)$

$= - 5.65\times 10^{-2} J$

5 0

3 years ago

You are working out on a rowing machine. Each time you pull the rowing bar (which simulates the "oars") toward you, it moves a d

gulaghasi [49]

Answer: 94.6 N

Explanation:

P = F d / t

82 = F (1.3) / 1.5

F = (82 x 1.5) / 1.3

F = 94.6N

4 0

3 years ago

A spring is compressed 8 cm. It is then brought back to equilibrium and compressed 24 cm. How much more work is done in the seco

posledela

Answer:

Nine times

Explanation:

$x_{i}$ = Initial compression of the spring = 8 cm = 0.08 m

$x_{f}$ = Final compression of the spring = 24 cm = 0.24 m

$k$ = Spring constant of the spring

Initial spring energy is given as

$U_{i} = (0.5) k x_{i}^{2}\\U_{i} = (0.5) k (8)^{2}\\U_{i} = 32 k$

Initial spring energy is given as

$U_{f} = (0.5) k x_{f}^{2}\\U_{f} = (0.5) k (24)^{2}\\U_{f} = 288 k = (9) (32) k = 9 U_{i}$

3 0

4 years ago

An object is placed a distance of 20 cm from a convex mirror of radius 40 cm. How far (in cm) is the image from the mirror?

Leona [35]

Answer:

Be sure you understand two optics principles: the focal length of a convex mirror is NEGATIVE (by convention) and R / 2 = f.

Find f, take its negative, plug in the mirror equation and obtain Di = - 24 cm. This indicates that the image is virtual (as it should be in a convex mirror), is erect (as all virtual images are), is diminished (as it should be) and INSIDE the mirror as it should be.

Explanation:

3 0

4 years ago

What is the power of 10 when 157,821 is written in scientific notation?

vlabodo [156]

Answer:

The power of 10 in the given value is 5.

Explanation:

scientific notation is expressed in the decimal form. That means always written in the power of 10 form. The decimal place is put after 1 digit.

3 0

4 years ago

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