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ch4aika [34]
3 years ago
8

Influenced by the gravitational pull of a distant star, the velocity of an asteroid changes from from +19.3 km/s to −18.8 km/s o

ver a period of 2.07 years. (a) what is the total change in the asteroid's velocity? (indicate the direction with the sign of your answer.) -3.81e4 correct: your answer is correct. m/s (b) what is the asteroid's average acceleration during this interval? (indicate the direction with the sign of your answer.) -5.84e-6 incorrect: your answer is incorrect. how does average acceleration depend on the change in velocity and the change in time? m/s2 additional materials
Physics
1 answer:
muminat3 years ago
4 0

As per above given data

initial velocity = 19.3 km/s

final velocity = - 18.8 km/s

now in order to find the change in velocity

\Delta v = v_f - v_i

\Delta v = -18.8 - 19.3

\Delta v = -38.1 km/s

\Delta v = -3.81 * 10^4 m/s

Part b)

Now we need to find acceleration

acceleration is given by formula

a = \frac{\Delta v}{\Delta t}

given that

\Delta v =- 3.81 * 10^4 m/s

\Delta t = 2.07 years = 6.53 * 10^7 s

now the acceleration is given as

a = \frac{-3.81 * 10^4}{6.53 * 10^7}

a = - 5.84 * 10^{-4}m/s^2

so above is the acceleration

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Answer:

See explanation

Explanation:

Solution:-

- We will first set a datum as the free surface of water in the pool.

- There is a square window with side length ( L = 8 m ) on the vertical side of the pool.

- The depth of the pool is given to be 54 m. The top of the window is ( d = 43 m ) from the free surface.

- We are to determine the resultant hydro static force acting on the window.

- Hydro static force ( F ) acting on an object of area ( A ) fully immersed in fluid is given by the following relationship as follows:

                           F = Pc*A

Where,

                  Pc: The hydrostaic pressure acting on the centroid of the obect.

- The hydrostatic pressure acting on the centroid of the object immersed in any fluid can be expressed by the following defining relationship:

                           Pc = γ*yc

Where,

                          γ: The specific weight of the fluid

                          yc: The vertical distance from free-surface to the centroid.

- Assuming homogeneous distribution of material used for the window of square shape. The centroid coincides with the geometric center of the window which is as a distance ( yc ) from the free-surface:

                       y_c = (d + \frac{L}{2} ) \\\\y_c = (43 + \frac{8}{2} ) \\\\y_c = 47 m

- Now we can calculate the resultant hydro static force ( F ) acting on the window. The specific gravity of fluid ( water ) is γ = 9.8KN/m^3.

                         F = ( 9.8 ) * ( 47 )* ( 8 )^2\\\\F = 29479KN

Note: The values given in the posted question seem unreasonable. I have assumed values in order of convenience. However, the procedure of solving the problem remains exactly the same.

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