Two life preservers have identical volumes, but one is filled with Styrofoam while the other is filled with sand. When the two l
1 answer:
Answer:
Sand
Explanation:
While the term buoyancy may confuse the reader, the question here is referring to buoyant force.
Buoyant force is the amount of pressure exerted on an object by the liquid it is in. Given by the formula
Where
= Buoyant Force
= Volume of Object submerged in the liquid
= Density of Liquid
= Force of gravity
Since in this question the swimmer with the sand is completely submerged in water, more of the volume of his preserver is under the water hence the buoyant force is greater on it than the swimmer with the Styrofoam (as part of him is not submerged in water)
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Answer:
I = 578A
Explanation:
The magnitude of the peak value of the induced current flowing in a coild is given by
Where
I= current
N = Number of loops
angular velocity
R= Resistance
B = Magnetic field
A = Area
Replacing our values we have that,
Answer:
F = 3.6 kN, direction is 9.6º to the North - East
Explanation:
The force is a vector, so one method to find the solution is to work with the components of the vector as scalars and then construct the resulting vector.
Let's use trigonometry to find the component of the forces, let's use a reference frame where the x-axis coincides with the East and the y-axis coincides with the North.
Wind
X axis
F₁ = 2.50 kN
Tide
cos 30 = F₂ₓ / F₂
sin 30 = F_{2y} / F₂
F₂ₓ = F₂ cos 30
F_{2y} = F₂ sin 30
F₂ₓ = 1.20cos 30 = 1.039 kN
F_{2y} = 1.20 sin 30 = 0.600 kN
the resultant force is
X axis
Fₓ = F₁ₓ + F₂ₓ
Fₓ = 2.50 +1.039
Fₓ = 3,539 kN
F_y = F_{2y}
F_y = 0.600
to find the vector we use the Pythagorean theorem
F =
F =
F = 3,589 kN
the address is
tan θ = F_y / Fₓ
θ = tan⁻¹
θ = tan⁻¹ 0.6 / 3.539
θ = 9.6º
the resultant force to two significant figures is
F = 3.6 kN
the direction is 9.6º to the North - East