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Nutka1998 [239]
3 years ago
11

The magnitude of the gravitational force between two objects is 20 newtons. If the mass of each object is doubled, the magnitude

of the gravitational force between the objects is _______.
Physics
1 answer:
Harlamova29_29 [7]3 years ago
7 0
According to the gravitational force law, force existing between two objects is proportional to the mass of the two objects and inversely proportional to the square of the distance between them. When masses are doubled each. Then the force increases 16 times.
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An unstable atomic nucleus of mass 1.80 10-26 kg initially at rest disintegrates into three particles. One of the particles, of
beks73 [17]

Answer:

a)   v = (-7.73 i ^ - 6.95j ^) 10⁶ m/s  and b)  ΔK = 3.96 10⁻¹³ J

Explanation:

We can work this process of disintegration as a conservation problem of the moment.

We create a system formed by the initial nucleus and the three final particles, in this case all the forces involved are internal and the amount of movement is conserved. We will write the equations each axis

X axis

      p₀ = 0

      pf = m1 v1x + m vfx

      m₁ = 8.50 10-27 kg

      vf₁ = 4.00 106 m / s

     p₀ = pf

     0 = m₁ v₁ₓ + m₃ vfₓ

     vfₓ = -m₁ / m₃ v1ₓ

Y Axis

     P₀ = 0

     Pf = m₂ v₂ + m₃ vfy

     m₂ = 5.10 10⁻²⁷ kg

     v₂ = 6.00 10⁶ m / s

     p₀ = pf

     0 = m₂ v₂ + m₃ vfy

     vfy = -m₂ / m3₃v₂

We have the initial particle mass and it decomposes into three parts after disintegration

     m = m₁ + m₂ + m₃

     m₃ = m-m₁-m₂

     m₃ = 1.80 10⁻²⁶ - 5.10 10⁻²⁷ - 8.50 10⁻²⁷ = (1.80 -0.510 -0.850) 10⁻²⁶

     m3 = 0.44 10⁻²⁶ kg = 4.4 10⁻²⁷ kg

Let's replace and calculate

    vfₓ = -m₁ / m₃ v₁ₓ

    vfₓ = - 8.50 10⁻²⁷/4.4 10⁻²⁷   4.00 10⁶

    vfₓ = -7.73 10⁶ m / s

    vfy = -m₂ / m₃ v₂

    vfy = - 5.10 10⁻²⁷ /4.4 10⁻²⁷   6.00 10⁶

    vfy = -6.95 10⁶ m/s

We set the speed vector

     v = (-7.73 i ^ - 6.95j ^) 10⁶ m/s

b) Let's calculate the kinetic energy

Initial

   K₀ = 0

Final

   Kf = K₁ + K₂ + K₃

   Kf = ½ m₁ v₁² + ½ m₂ v₂² + ½ m₃ v₃²

   v₃² = (7.73 10⁶)²+ (6.95 10⁶)²  = 108.5 10⁻¹²

  Kf = ½ 8.50 10⁻²⁷(4 10⁶) 2 + ½ 5.1 10⁻²⁷ (6 10⁶) 2 + ½ 4.4 10⁻²⁷ 108.05 10⁻¹²

  Kf = 68 10⁻¹⁵ + 91.8 10⁻¹⁵ + 237.7 10⁻¹⁵

  Kf = 396.8 10⁻¹⁵ J

   Kf = 3.96 10⁻¹³ J

  ΔK = Kf -K₀

  ΔK = 3.96 10⁻¹³ J

7 0
4 years ago
Pierre is a 375 kg great white with an average speed of 3 m/s. When Pierre spots a seal, he increases his velocity to 7 m/s. Aft
tangare [24]

Answer:

1890J

Explanation:

375+45 = 420kg (total mass)

kinetic energy = 1/2 × mass × velocity²

1/2 × 420 × 3² = 1890J

5 0
3 years ago
If the tension remains constant and the frequency increases, what happens to the wavelength?
kakasveta [241]
<span>As frequency increases, wavelength decreases. Frequency and wavelength are inversely proportional. This basically means that when the wavelength is increased, the frequency decreases and vice versa</span>
7 0
3 years ago
The reaction between magnesium (Mg) and oxygen (O2) forms magnesium oxide (MgO).
Scorpion4ik [409]

Answer:

2 Mg + O2 = 2MgO

Type: Synthesis

3 0
4 years ago
The term "exfoliation dome" is best applied to ________. the term "exfoliation dome" is best applied to ________. bryce national
BlackZzzverrR [31]
An exfoliation dome is a geological structure wherein it is primarily when the overburden of a surface gets removed by erosion, thus leading to rock relaxation. In addition, the term would be best applied to the national landmark of Yosemite National Park wherein the place has one of the best waterfalls in California.
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4 years ago
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