Ancient cultures built some impressive structures that incorporated astronomical functions and information (Stonehenge, Chichen

The average acceleration is

Answer:

(a). The coefficient of permeability is .

(b). The seepage velocity is 0.0330 cm/s.

(c). The discharge velocity during the test is 0.0187 cm/s.

Explanation:

Given that,

Length = 175 mm

Diameter = 175 mm

Time = 90 sec

Volume= 405 cm³

We need to calculate the discharge

Using formula of discharge

Insert the values into the formula

(a). We will compute the coefficient of permeability

Applying the formula for permeability

Where, Q=discharge

l = length

A = cross-sectional area

h=constant head that causes flow

Plugging the value into the formula

(c). To ascertain the discharge velocity during the testing phase

Utilizing the discharge velocity formula

Substituting the values into the equation

The discharge velocity during the test measures 0.0187 cm/s.

Thus, (a). The coefficient of permeability is .

(b). The seepage velocity computes at 0.0330 cm/s.

(c). The observed discharge velocity during the test equals 0.0187 cm/s.

Given

m1(mass of red bumper): 225 Kg

m2 (mass of blue bumper): 180 Kg

m3(mass of green bumper): 150 Kg

v1 (velocity of red bumper): 3.0 m/s

v2 (final velocity of the combined bumpers):?

The principle of momentum conservation indicates that the momentum before impacts equals the momentum after impacts. This can be represented mathematically as:

Pa= Pb

Pa symbolizes the momentum prior to collision and Pb refers to momentum after collision.

Applying this principle to the aforementioned scenario results in:

Momentum pre-collision= momentum post-collision.

Momentum pre-collision = (m1+m2) x v1 =(225+180)x 3 = 1215 Kgm/s

Momentum post-collision = (m1+m2+m3) x v2 =(225+180+150)x v2

=555v2

We now know that Momentum pre-collision equals momentum post-collision.

1215 = 555 v2

v2 = 2.188 m/s

Consequently, the final velocity of the combined bumper cars is 2.188 m/s