Question

liquid at rest, viscosity - 10 poise
boat and a child of mass 2kg, height- Im
boat mong with 10m/s info
and are
Also an external force applied on boat - 20N
find accn​

Answer 1

Answer:

10ms2

Explanation:

a=fext /mass

= 20/2

=10ms2

Answer 2

The boat's acceleration is -30.19 m/$s^2$. The negative symbol signifies a boat that is slowing down.

The following procedures can be used to determine the boat's acceleration:

Determine the buoyant force that is affecting the boat:

The weight of the liquid that the boat has displaced determines the buoyant force (B) that is exerted on it. Calculating the weight of a liquid involves multiplying its density (ρ), its displaced volume (V), and its acceleration due to gravity (g).

The buoyant force, which is determined by the product of the boat's mass (m) and the acceleration due to gravity (g), is equal to the boat's weight since it is floating in the liquid.

B = m × g

B = 2 kg × 9.81 m/$s^2$

B = 19.62 N

Determine the drag force that is affecting the boat:

The drag force (D) exerted on the boat is determined by the sum of the boat's area (A), velocity (v), and viscosity (μ) of the liquid:

D = μ × v × A

D = 10 poise × 10 m/s × 1 $m^2$

D  = 100 N

Find out the net force affecting the boat:

The net force ($F_{net}$) imposed on the boat equals the total of the external forces ( $F_{ext}$), the buoyant force (B), and the drag force (D):

$F_{net}$ = $F_{ext}$ + B - D

$F_{net}$  = 20 N + 19.62 N - 100 N

$F_{net}$  = -60.38 N

The negative sign shows that the net force is acting in the boat's anticlockwise direction.

Determine the boat's acceleration:

The net force divided by the boat's mass yields the boat's acceleration (a):

a = $F_{net} / m$

a = -60.38 N / 2 kg

a = -30.19 m/$s^2$

The negative symbol signifies a boat that is slowing down or decelerating in the direction of travel.

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Question

liquid at rest , viscosity Is 10 poise and a child is sitting on boat of mass 2kg moving at 10m/s and area of boat is 1$m^2$ also external force is 20 N depth of liquid is 1m find acceleration​