Answer:
a)
The magnitude of the attractive force is
b)
The magnitude of the repulsive force is
c)
The magnitude of the net force is
Explanation:
The explanation is shown on the first and second uploaded image
Ten identical steel wires have equal lengths L and equal "spring constants" k. The Young's modulus of each wire is Y. The wires
1 answer:
Answer:
option (B)
Explanation:
Young's modulus is defined as the ratio of longitudinal stress to the longitudinal strain.
Its unit is N/m².
The formula for the Young's modulus is given by
where, F is the force applied on a rod, L is the initial length of the rod, ΔL is the change in length of the rod as the force is applied, A is the area of crossection of the rod.
It is the property of material of solid. So, when the 10 wires are co joined together to form a new wire of length 10 L, the material remains same so the young' modulus remains same.
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Answer:
Explanation:
a )
Radius of the sun = .69645 x 10⁹ m .
600 times = 600 x .69645 x 10⁹ m
= 4.1787 x 10¹¹ m .
surface area A = 4π (4.1787 x 10¹¹)²
= 219.317 x 10²²
energy radiated E = σ A Τ⁴
= 5.67 x 10⁻⁸ x 219.317 x 10²² x (3000)⁴
= 100695 x 10²⁶ J
To know the wavelength of photon emitted
= 2.89777 x 10⁻³ / 3000
= 966 nm
= 1275 /966 eV
1.32 x 1.6 x 10⁻¹⁹ J
= 2.112 x 10⁻¹⁹ J
No of photons radiated = 100695 x 10²⁶ / 2.112 x 10⁻¹⁹
= 47677.5 x 10⁴⁵
= .476 x 10⁵⁰ .
b )
energy radiated by our sun per second
E₂ = σ A 5800⁴
energy radiated by Betelgeuse per second
E₁ = σ x 600²A x 3000⁴
E₁ / E₂ = σ x 600²A x 3000⁴ / σ A 5800⁴
= 36 X 10⁴ x 3⁴ x 10¹² / 58⁴ x 10⁸
= 25.76 x 10⁸ x 10⁻⁵
= 25760 times .
Answer:
1. When a spring scale is used to do work pulling a cart to the top of an incline, the elastic energy stored in the spring is converted into gravitational potential energy, since the top of an incline has a certain height.
2. The roller coaster get its gravitational potential energy from the kinetic energy it carries when it moves with a certain velocity.
3. Truckers use a ramp because it is easier to load a truck with less applied force. Although the work required is the same, without the ramp the force that they should apply is much greater, hence more difficult.
h is greater than (d x cos(Θ)), hence F2 is smaller than F1.
Answer:
.
Explanation:
This problem can be solved using Newton's law of universal gravitation: ,
where F is the gravitational force between two masses and
,
is the distance between the masses (their center of mass), and
is the gravitational constant.
We know the weight of the astronout on the surface, with this we can find his mass. Letting be the weight on the surface:
,
,
,
since we now that we get that the mass is
.
Now we can use Newton's law of universal gravitation
,
where is the mass of the astronaut and
is the mass of the earth. From Newton's second law we know that
,
in this case the acceleration is the gravity so
, (<u>becarefull, gravity at this point is no longer</u>
<u>because we are not in the surface anymore</u>)
and this get us to
, where
is his new weight.
We need to remember that the mass of the earth is and its radius is
.
The total distance between the astronaut and the earth is
meters.
Now we can compute his weigh:
,
,
.