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Savatey [412]
3 years ago
14

At what altitude above the earth's surface would the acceleration due to gravity be 4.9 m/s^2? Assume the mean radius of the ear

th is 6.4x10^6 metres and the acceleration due to gravity 9.8m/s^2 on the surface of the earth.
Physics
1 answer:
Mandarinka [93]3 years ago
4 0
We apply the gravity calculation expressed in the formula: g=GM/r2 
where G is the gravitational constant, m is the mass and r is the radius
r=√GM/g
(1)       Radius = √6.674e-11*5.972e24/8             = 7058 kms    Earth radius or surface of earth from center of earth= 6400 kmsSo r= 658 kms from surface of earth.
Gravity 8m/s2 will be at 658 kms from surface of earth.
(2) half gravity= 9.8/2= 4.9 m/s2     Radius=√6.674e-11*5.972e24/4.9                 = 9019 kms        Half Gravity will exist at 9019-6400= 2619 kms from surface of earth.
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A diffraction pattern is formed on a screen 130 cm away from a 0.420-mm-wide slit. Monochromatic 546.1-nm light is used. Calcula
notka56 [123]

Answer:

The fractional Intensity \frac{I}{I_{max}} = 0.0146

Given:

wavelength of the light, \lambda = 546.1 nm = 546.1\times 10^{-9} m

slit and screen separation difference, D = 130 cm = 1.3 m

distance of the point from the center of the principal maximum, y = 4.10 mm = 0.041 m

slit width, d = 0.420 mm = 0.420\times 10^{-3}

Solution:

To calculate the fractional intensity, we use the given formula:

\frac{I}{I_{max}} = \frac{sin^{2}\delta }{\frac({\delta}{2})^{2}}             (1)

\delta = \frac{\pi }{\lambda}dsin\theta    

For very small angle:                                        

\delta = \frac{\pi dy}{\lambda D}                                  (2)

where

\delta = total phase angle

\theta = angle of deviation

Using eqn (2):

\delta = \frac{\pi \times 0.42\times 10^{-3}\times 4.1\times 10^{-3} }{546.1\times 10^{-9}\times 1.3} = 7.6202 radians

Now, using eqn (1):

\frac{I}{I_{max}} = \frac{sin^{2}(7.6202) }{(\frac{7.6202}{2})^{2}} = 0.0146

4 0
4 years ago
Finding the spring constant as shown, spring 3, which has an unknown spring constant k3, replaces spring 2. the mass of the weig
nevsk [136]
Replaces spring 2. the mass of the weight and pulley are unchanged: m=5.8 kg and mp=1.7 kg
6 0
4 years ago
Some life forms move so slowly that their movement cannot be detected by normal observation. The best way to determine any movem
romanna [79]
Not sure the precise concept of "normal observation", but I assume that is observed by "eyes".

Eye observation is basically macroscopic, but when you use a mark, which can be regarded as a point of mass, then it goes to microscopic.

Mark is a reference point which you can compare the relative position change, but with your eyes, first you cannot notice microscopic changes, second the eyes cannot precisely set a stable reference point.
5 0
4 years ago
Read 2 more answers
A crate is lifted vertically 1.5 m and then held at rest. The crate has weight 100 N (i.e., it is supported by an upward force o
bogdanovich [222]

Answer:

1) W = 150 J

Explanation:

Work (W) is defined as the product of force F by the distance (d)the body travels due to this force.  

W= F*d Formula ( 1)

The work is positive (W+) if the force has the same direction of movement of the object.  

The work is negative (W-) if the force has the opposite direction of the movement of the object.

The component of the force that performs work must be parallel to the displacement.  

Work done to lift the floor box to its final position

We apply the formula (1)

W= F*d

W = (100 N)*(1.5 m)

W = 150 J

5 0
4 years ago
A sheet of glass measures one metre by half metre at 0°C. Calculate its area at 30°C, a for
Yuki888 [10]

Answer:

0.50027m^{2}

Explanation:

ΔA=2\alpha A_{0} T

Where ΔA is the change in area

There is a 2 since the coefficient for area = 2 x that for the linear coefficient

A_{0} is the original area

\alpha is the coefficient of thermal expansion

And T is the change in temperature

ΔA=2(0.000009)(0.5)(30-0)=0.00027m^{2}

New area= ΔA+A_{0} = 0.5+0.00027=0.50027m^{2}

6 0
3 years ago
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