answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lisabon 2012
1 month ago
5

A Styrofoam slab has thickness h and density ρs. When a swimmer of mass m is resting on it, the slab floats in fresh water with

its top at the same level as the water surface. Find the area of the slab. (Use any variable or symbol stated above along with the following as necessary: ρw for the density of water.)
Physics
1 answer:
Ostrovityanka [3.2K]1 month ago
8 0
 <span>A = area of styrofoam 
M = mass of styrofoam = A*h*rho_s 
m = mass of swimmer 

The overall mass totals = m + M = m + A*h*rho_s 
The force acting downwards = g*(combined mass) = g*[m + A*h*rho_s] 

The slab is entirely submerged. 
The buoyant force = g*(weight of water displaced) = g*[A*h*rho_w] 

By setting these two equal
g*[m + A*h*rho_s] = g*[A*h*rho_w] 
This leads to m + A*h*rho_s = A*h*rho_w 
Rearranging gives A*h*[rho_w - rho_s] = m 
Thus, A = m/[h*(rho_w - rho_s)]</span>
You might be interested in
An object is attached to a hanging unstretched ideal and massless spring and slowly lowered to its equilibrium position, a dista
Sav [3153]

Answer:

        h = 12.8 cm

Explanation:

The initial parameters are as follows:

distance = 6.4 cm

  • when the object descends, its weight matches the spring's force

        weight = spring force

         mg = ky... equation 1

  • potential energy stored in a stretched spring = work done by the spring

        mgh = 0.5 x k x h^{2}....equation 2

  • Substituting from equation 1 into equation 2

                kyh =  0.5 x k x h^{2}

                y =  0.5 x h

                2y = h

  • where y is 6.4, yielding the maximum elongation as

          h = 2 x 6.4 = 12.8 cm

6 0
1 month ago
A kangaroo jumps to a vertical height of 2.8 m. How long was it in the air before returning to earth
serg [3582]
The kangaroo reaches a maximum vertical altitude of 2.8 m, which can be calculated using the formula 2.8 = 1/2 * 9.8 * t^2. Thus, applying the equation s = ut + 1/2at^2.
8 0
1 month ago
A very small round ball is located near a large solid sphere of uniform density. The force that the large sphere exerts on the b
Softa [3030]

Respuesta:

Opción e

Explicación:

La Ley de Gravitación Universal indica que toda masa puntual atrae a otra masa puntual en el universo con una fuerza que se dirige en línea recta entre los centros de masa de ambos, siendo esta fuerza proporcional a las masas de los objetos y inversamente proporcional a su separación. Esta fuerza atractiva siempre es dirigida del uno hacia el otro. La ley es aplicable a objetos de cualquier masa, sin importar su tamaño. Dos objetos grandes pueden ser considerados masas puntuales si la distancia entre ellos es considerablemente mayor que sus dimensiones o si presentan simetría esférica. En tales casos, la masa de cada objeto puede ser modelada como una masa puntual en su centro de masa.

La misma fuerza actúa sobre ambas bolas.

5 0
1 month ago
If a person weighs 882 N on the surface of the earth, at what altitude above the earth’s surface must they be for their weight t
Sav [3153]

Para calcular el peso utilizamos la fórmula:
F=m*g=882N

Cuando tenemos dos cuerpos, empleamos la fórmula de la gravedad general:
F=G* \frac{ M_{p}*M_{E} }{ r^{2} }
Donde:
G = constante de gravedad = 6.67* 10^{-11} m^{3} kg^{-1} s^{-2}
Mp = masa de la persona = 882 / 9.81= 89.9kg
ME = masa de la Tierra = 5.97* 10^{24} kg
r = distancia entre la Tierra y la persona

A partir de estas dos fórmulas, deducimos que los lados izquierdos son equivalentes, por lo tanto, los lados derechos también deben serlo.
m*g=G* \frac{ M_{p}*M_{E} }{ r^{2} }

Resolviendo esta ecuación para r:
r= \sqrt{G* \frac{ M_{p}*M_{E}}{M_{p}*g}
r=6371116m = 6371.116km

Esta es la distancia desde el centro de la Tierra. El radio de la Tierra es 6370km y la altura sobre la superficie es 6371.116 - 6370 = 1.116km o 1116m.

3 0
1 month ago
Honey bees can acquire a small net charge on the order of 1 pC as they fly through the air and interact with plants. Estimate th
Softa [3030]
The force acting upon a charged particle in the presence of a magnetic field can be described by the equation: where q symbolizes the particle's charge, v represents its velocity, B indicates the magnetic field strength, and θ is the angle between the vectors of B and v. In this context, we consider: q as the charge of a honey bee; v as the flying speed of the bee; B as the Earth's magnetic field's average strength; noting that the bee's motion from east to west contrasts with the south to north direction of the magnetic field. By substituting these parameters into the equation, we arrive at an estimate.
7 0
18 days ago
Other questions:
  • A cylindrical tank of methanol has a mass of 40 kgand a volume of 51 L. Determine the methanol’s weight, density,and specific gr
    10·1 answer
  • A fox locates rodents under the snow by the slight sounds they make. The fox then leaps straight into the air and burrows its no
    10·1 answer
  • An ideally efficient heat pump delivers 1000 J of heat to room air at 300 K. If it extracted heat from 260 K outdoor air, how mu
    10·1 answer
  • A book slides across a level, carpeted floor with an initial speed of 3.25 m/s and comes to rest after 3.25 m. Calculate the coe
    5·1 answer
  • On the assumption that copper– nickel alloys are random mixtures of copper and nickel atoms, calculate the mass of copper which,
    13·1 answer
  • A 0.5 kg cheeseburger is lobbed at a particularly unhappy customer with a force of 10 N. While it is being thrown, what is the a
    5·1 answer
  • Suzy drops a rock from the roof of her house. Mary sees the rock pass her 2.7 m tall window in 0.129 sec. From how high above th
    12·1 answer
  • A sled with no initial velocity accelerates at rate of 5.0 m/s^2 down a hill . How long does it take the sled to go 45 m to the
    12·1 answer
  • The bottom of the inner curve of a hook is called
    6·1 answer
  • A standard 14.16-inch (0.360-meter) computer monitor is 1024 pixels wide and 768 pixels tall. Each pixel is a square approximate
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!