Physics, 21.12.2020 17:10 samflores236

You are preparing some apparatus for a visit to a newly discovered planet Caasi having oceans of glycerine and a surface acceleration due to gravity of 5.40m/s^2. If your apparatus floats in the oceans on earth with 25.0% of its volume submerged, what percentage will be submerged in the glycerine oceans of Caasi?

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Answer from: ghakassim

The value is $a = 20.4 \%$

Explanation:

From the question we are told that

The acceleration due to gravity of the planet is $a = 5.40 \ m/s^ 2$

The percentage volume of the apparatus submerged in the ocean on earth is $k = 25.0 \%$

Generally the buoyant force acting on the apparatus is equal to the weight of the apparatus

i.e

$\rho_s * V_s * g = m * g$

Hence the mass of the apparatus is mathematically represented as

$m_s = \rho_s * V_s$

Here $\rho_s$ is the density of the sea water with a value of $\rho_s = 1030 \ kg/m^3$

V_s is the volume of the apparatus submerged

m_s = 1030 * 0.25 V

Here V is the total volume of the apparatus

=> $m_s = 257.5 V \ kg$

Generally at the new planet the mass of the apparatus is mathematically represented as

$m_c = \rho_c * V_c$

Here $\rho_c$ is the density of the glycerin with a value of $\rho_c = 1260 \ kg/m^3$

Gnerally m_s = m_c

257.5 V = 1260 * V_c

=> $V_c = \frac{257.5V }{ 1260 }$

=> $V_c = 0.204 \ V$

Hence the percentage volume of the apparatus which is submerged in glycerin at the new planet is

$a = 0.204 * 100 = 20.4 \%$

Answer from: Quest

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm. the wire diameter is d = 0.9 mm. the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

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i = 9 a

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

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explanation:

Answer from: Quest

the displacement produced by the body.

the amount of force subjected to the body.

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