Answer:

Explanation:
= Initial pressure = 
= Initial volume
= Final volume = 
Temperature is the same in the initial and final state
From the ideal gas law we have

The final pressure of the system is
.
<h3>The correct answer is:</h3><h2>9.08 x 10⁶ meters.</h2><h2 /><h3>Explanation:</h3>
Fg = 2.58 x 10³ N
Mv = 4.87 x 10²⁴ Kg
Md = 655 Kg
So, Fg = G Mv Mp / r²
By putting in the values,
r² = 8.2466 x 10¹³
<h2>r = 9.08 x 10⁶ meters.</h2>
Answer:
See below ↓
Explanation:
<u>Step 1 : Diagram</u>
<u>Step 2</u>
- We choose the system to be the spring, the block, and the Earth and it is isolated
- We put all the data in the figure we have created and create a zero level (initial height) of the block to be yₓ = 0 and the final position, when it stops and moves upwards again, to be yₙ = -A
- No external forces are exerted on the system and no energy comes in or out of the system
- Hence,
⇒ ΔE = 0
⇒ Eₙ - Eₓ = 0
⇒ Eₙ = Eₓ
⇒ Kₙ + Uₙ + Pₙ = Kₓ + Uₓ + Pₓ
- Final kinetic energy is 0 at the lowest point
⇒ Uₙ + Pₙ = Uₓ + Pₓ
<u>Step 3</u>
- Initial potential energy is 0 [zero level = initial height]
⇒ Uₙ + Pₙ = Uₓ
- And we know that spring was originally at normal length, so initial spring energy is also 0
⇒ Uₙ + Pₙ = 0
⇒ 1/2kxₙ² + mgyₙ = 0
⇒ 1/2kxₙ² = -mgyₙ
- We know xₙ = A and yₙ = -A from the diagram
⇒ 1/2kA² = -mg(-A)
⇒ 1/2kA² = mgA
⇒ [1/2kA = mg]
<u>Step 4</u>
- Spring force is given by : F = -kx
- Note : x = A
⇒ F = kA
⇒ k = F/A
⇒ Plug 'k' into the equation found at the end of Step 3
⇒ 1/2(F/A)(A) = mg
⇒ 2F = mg
⇒ F = 2mg (a)
<u>Step 5</u>
- We know the spring will stop oscillating and be at rest at the new equilibrium position of the system
⇒ F - mg = 0
⇒ F = mg
⇒ F = -kx
⇒ kyₙ = mg
⇒ yₙ = mg/k
⇒ yₙ = 0.25 x 9.8 / -10
⇒ yₙ = -0.245 m
⇒ yₙ = A
⇒ yₙ = 0.245 m (b)
<u>Step 6</u>
- v(max) = Aω
- v(max) = A√k/m
- v(max) = 0.245 x √(10/0.25)
- v(max) = 1.55 m/s (c)
Answer:
Neither. They will have equal change in the magnitude of momentum.
Explanation:
Change in in momentum of a body is calculated as follows:
ΔP = FΔt
where ΔP is the change in momentum
and F is the force exerted on the object
and Δt is the change in time during the impact
The time it takes for the impact is the same for both objects. Also, according to Newton's third law, when object A exerts a force on on object B, B exerts an equal(magnitude wise) but opposite force on A. Therefore the value of F is also equal. This tells us that the magnitude of impulse will be the same for both the fly and the truck
Answer:
Velocity 

V = Q + 3Rt²
at t = 0,
= Q + 3r(0) ==> Q
at t = T,
= Q + 3rT²
Work done (W) = ΔKE = 
W = ![\frac{1}{2} m[(Q + 3RT^{2})^{2} - Q^{2}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20m%5B%28Q%20%2B%203RT%5E%7B2%7D%29%5E%7B2%7D%20-%20Q%5E%7B2%7D%5D)
W =
[Q² + 9R²T⁴ + 2Q(3RT²) - Q²]
W =
(9R²T⁴ + 6QRT²)
Explanation:
Differentiate the position.
Find the equation for speed.
Find the initial and final speed.
Use work energy theorem to find the work done by finding the change in kinetic energy.