Physics, 15.04.2020 17:34, Savannahh8503

. A bathysphere used for deep-sea exploration has a radius of 1.50 m and a mass of 1.20 104 kg. To dive, this submarine takes on mass in the form of seawater. Determine the amount of mass that the submarine must take on if it is to descend at a constant speed of 1.20 m/s, when the resistive force on it is 1 100 N in the upward direction. Take 1.03 103 kg/m3 as the density of seawater.

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answered: andresduenas72

In this exercise we have to use fluid knowledge to calculate the mass immersed in water, so we will find that:

$Mass \ of \ submarine \ is \ 2673.4 \ kg$

Given that:

Bathysphere radius is r = 1.5m

Mass of bathysphere is M = 1.2 * 10^4 kg

Constant speed of descending is $v = 1.2 \ m/s$ Resistive force is F_r = 1100N

(upward direction) Density of water is $\rho = 1.03 * 10^3 \ kg/m^3$

The volume of the bathysphere can be calculated using

$V = 4 \pi r^3 / 3\\V = 4 \pi * ( 1.5^3 / 3)\\V = 14.14 \ m^3$

The Bouyant force can be calculated using:

$F_b = \rho gV\\F_b = (1.03)*( 10^3)*( 9.81)*( 14.14)\\F_b = 142,846.18 \ N$

Weight of the bathysphere can be calculated by:

$W = mg\\W = (1.2) *( 10^4 )*( 9.81) \\W = 117,720 N$

The net positive buoyant using resolving:

$F_b_+ = F_b - W\\F_b_+ = 142,846.18 - 117,720\\F_b_+ = 25,126.18 \ N$

So we can say that:

$W = F_b_+ + F_r\\W = 25,126.18 + 1100\\W = 26,226.18=mg\\m = 26,226.18 / 9.81 = 2673.4kg$

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answered: MaddieXMooo990

Explanation:

Given that,

Bathysphere radius

r = 1.5m

Mass of bathysphere

M = 1.2 × 10⁴ kg

Constant speed of descending.

v = 1.2m/s

Resistive force

Fr = 1100N upward direction

Density of water

ρ = 1.03 × 10³kg/m³

The volume of the bathysphere can be calculated using

V = 4πr³ / 3

V = 4π × 1.5³ / 3

V = 14.14 m³

The Bouyant force can be calculated using

Fb = ρgV

Fb = 1.03 × 10³ × 9.81 × 14.14

Fb = 142,846.18 N

Buoyant force is acting upward

Weight of the bathysphere

W = mg

W = 1.2 × 10⁴ × 9.81

W = 117,720 N

Weight is acting downward

The net positive buoyant using resolving

Fb+ = Fb — W

Fb+ = 142,846.18 — 117,720

Fb+ = 25,126.18 N

The force acting downward is the weight of the submarine and it is equal to the positive buoyant force and the resistive force

W = Fb+ + Fr

W = 25,126.18 + 1100

W = 26,226.18

mg = 26,226.18

m = 26,226.18 / 9.81

m = 2673.4kg

Mass of submarine is 2673.4kg

answered: Guest

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.

How does a pendulum model an energy conversation system?

answered: Guest

weight of the box is given as

$w = 112.1 n$

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

$w_x = w sin\theta$

here we have

$w = 112.1 n$

$w_x = 112.1 sin42$

$w_x = 75 n$

so it requires 75 n force to move it upwards

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. A bathysphere used for deep-sea exploration has a radius of 1.50 m and a mass of 1.20 104 kg. To d...