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Law Incorporation
7 days ago
7

A ""doomsday"" asteroid with a mass of 1.0 * 1010 kg is hurtling through space. Unless the asteroid’s speed is changed by about

0.20 cm????s, it will collide with Earth and cause tremendous damage. Researchers suggest that a small ""space tug"" sent to the asteroid’s surface could exert a gentle constant force of 2.5 N. For how long must this force act?
Physics
1 answer:
kicyunya [2.9K]7 days ago
6 0

Response:

Δt = 8 x 10^6secs, which translates to Δt in days = 92.6 days

1 day = 86400secs

Clarification:

  • This scenario involves the principle of momentum.
  • momentum is derived from the multiplication of mass and the change in velocity
  • in mathematical terms, p = mΔv
  • where p represents momentum, m stands for mass, and Δv indicates the change in velocity
  • acceleration can be expressed as a = Δv/Δt
  • with Δv being equal to aΔt

the impulse equals the force multiplied by the time interval;

expressed as I = FΔt

  • hence, Impulse is equivalent to the change in momentum
  • I = Δp
  • therefore, mΔv = I = FΔt
  • Thus, Δt = mΔv/F
  • given that m = 1.0 x 10^10 kg, Δv = 0.20cm/s, or 0.002m/s, F = 2.5N

  • Substituting these values in gives: Δt = mΔv/F = 1.0 x 10^10 kg x 0.002m/s x 2.5N
  • resulting in Δt = 8 x 10^6secs, which converts to Δt in days = 92.6 days
  • Note: 1 day = 86400secs

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Two large insulating parallel plates carry charge of equal magnitude, one positive and the other negative, that is distributed u
Maru [2979]

Answer:

The correct choice is C: points 1, 4, and 5 are equal, followed by 2 and 3 being equal.

Explanation:

Here’s the breakdown:

The electric field from the positive sheets E₁ = б/2E₀

E₂ is from the negative sheet = -б/2E₀

At points 1, 4, and 5, the electric fields created by the sheets oppose each other.

At point 1, the total field is calculated as -E₁ + E₂ = 0.

Similarly, at point A, the total field results in -E₁ - E₂ = 0.

However, at any point in between the plates, the electric field is directed consistently in one way.

At points 2 and 3, the field is directed to the right.

Thus, we have:

E net = E₁ + E₂

= б/2E₀ + -б/2E₀

=б/E₀

Note: Please refer to the attached document for the full question accompanying this solution.

7 0
26 days ago
A system expands from a volume of 1.00 l to 2.00 l against a constant external pressure of 1.00 atm. what is the work (w) done b
Keith_Richards [2911]
The amount of work performed by a system at consistent pressure is defined by the following equation:
W=p \Delta V = p (V_f - V_i)
where
p represents pressure
V_f as the final volume
V_i as the initial volume

Plugging the values given in this case into the formula gives us
W=p (V_f -V_i)=(1.00 atm)(2.00 L-1.00 L)=1.00 L\cdot atm

Considering that 1 atm \cdot L = 101.3 J, the result for the work done becomes
W= 1.00 atm \cdot L = 101.3 J
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19 days ago
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1 month ago
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In order for the ball to be able to make a complete circle around the peg, there must be sufficient speed at the top of its arc
kicyunya [2911]

Answer:

Explanation:

Let T represent the tension in the swing.

At the peak mg-T=\frac{mv^2}{r}

where v denotes the velocity needed to maintain the circular motion.

r equals the distance from the rotation point to the center of the ball, which is L+\frac{d}{2} (with d being the ball's diameter).

The threshold velocity can be expressed as mg-0=\frac{mv^2}{r}

To determine the velocity at the bottom, we can use energy conservation principles at both the top and bottom positions.

At the top E_T=mg\times 2L+\frac{mv^2}{2}

Energy at the bottom E_b=\frac{mv_0^2}{2}

By comparing the two states using conservation of energy, we find v_0^2=4gr+gr

v_0^2=5gr

v_0=\sqrt{5gr}

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6 0
26 days ago
The intensity level of a "Super-Silent" power lawn mower at a distance of 1.0 m is 100 dB. You wake up one morning to find that
Maru [2979]

Answer:

The correct option is 80 dB.

Explanation:

The transformation of sound intensity level into sound intensity utilizes the formula

[D] = 10 log (I/I₀)

Where I₀ = 10⁻¹² W/m²

[D] results in 100 dB

100 = 10 log (I/I₀)

Log (I/I₀) converts to 10

(I/I₀) = 10¹⁰

I is determined as I₀ × 10¹⁰ = 10⁻¹² × 10¹⁰ = 10⁻² W/m²

Sound intensity inversely relates to the square of the distance from the source.

I ∝ (1/d²)

I can be expressed as k/d²

When d = 1 m, the intensity is 10⁻² W/m²

Thus, 0.01 = k/1

Providing that k = 0.01 W

For d = 20 m, we can calculate I

I = 0.01/20² = 2.5 × 10⁻⁵ W/m²

With four neighbors mowing their lawns concurrently,

I = 4 × 2.5 × 10⁻⁵ = 10⁻⁴ W/m⁻²

The sound intensity level in decibels is represented as

[D] = 10 log (I/I₀)

[D] = 10 log (10⁻⁴/10⁻¹²)

[D] = 10 log (10⁸)

[D] = 10 × 8 = 80dB

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29 days ago
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