Respuesta :
1) How does the buoyant force on a submerged object compare with the weight of the water displaced?
Answer: the buoyant force is equal to the weight of the water displaced.
In fact, the buoyant force is exactly defined as the weight of the water displaced:
[tex]B=\rho_L V_L g[/tex]
where [tex]\rho_L[/tex] is the density of the liquid, [tex]V_L[/tex] is the volume of liquid displaced, g is the gravitational acceleration.
2) how is lift produced on the wing of an airplane?
Answer: the speed increases as the air flows over the wing, so the pressure decreases.
Indeed: given the shape of the wing, the speed of the air flow over the wing increases. This effect produces a lower pressure over the wing than the pressure below the wing, according to Bernoulli's equation:
[tex]p+ \frac{1}{2}\rho v^2 = cost.[/tex]
where p is the pressure, [tex]\rho[/tex] is the fluid density and v the speed. As we see fro mthe equation, the larger the speed, the lower the pressure, and this difference in pressure between below and over the wing generates the lift.
3) what happens to the internal pressure in a fluid flowing in a horizontal pipe when its speed increases?
Answer: the pressure decreases when the speed increases
As before, this is a direct consequence of Bernoulli's equation:
[tex]p+ \frac{1}{2}\rho v^2 = cost.[/tex]
where p is the pressure, [tex]\rho[/tex] is the fluid density and v the speed. From the formula, we see that when the speed increases, the pressure decreases.
4) if an object suspended by a scale shows a weight of 3 n in air, and 2 n when submerged in water, the buoyant force on the submerged object is:
Answer: 1 N
The weight shown by the scale is the difference between the real weight of the object (pointing downward) and the buoyant force (pointing upward). Since the real weight is 3 N (in air), and the apparent weight in water is 2 N, the buoyant force must be
[tex]B=3 N-2 N=1 N[/tex]
5) how does the volume of a completely submerged object compare with the volume of water displaced?
Answer: the volumes are equal
Indeed: when the object is completely submerged, the volume of water displaced is exactly equal to the volume of the object.
6) a helium-filled balloon will reach its maximum altitude when __________.
Answer: its weight equals the weight of displaced air.
In fact, when the weight of the balloon becomes equal to the weight of the displaced air, the weight of the object (pointing downward) becomes equal to the buoyant force (pointing upward), so the balloon is in equilibrium and it no longer moves.
7) the buoyant force on a floating object is __________.
Answer: equal to the object's weight
Exactly: since the object is floating, it must be in equilibrium. This means that the buoyant force on the object is exactly equal to the weight of the object.
Answer: the buoyant force is equal to the weight of the water displaced.
In fact, the buoyant force is exactly defined as the weight of the water displaced:
[tex]B=\rho_L V_L g[/tex]
where [tex]\rho_L[/tex] is the density of the liquid, [tex]V_L[/tex] is the volume of liquid displaced, g is the gravitational acceleration.
2) how is lift produced on the wing of an airplane?
Answer: the speed increases as the air flows over the wing, so the pressure decreases.
Indeed: given the shape of the wing, the speed of the air flow over the wing increases. This effect produces a lower pressure over the wing than the pressure below the wing, according to Bernoulli's equation:
[tex]p+ \frac{1}{2}\rho v^2 = cost.[/tex]
where p is the pressure, [tex]\rho[/tex] is the fluid density and v the speed. As we see fro mthe equation, the larger the speed, the lower the pressure, and this difference in pressure between below and over the wing generates the lift.
3) what happens to the internal pressure in a fluid flowing in a horizontal pipe when its speed increases?
Answer: the pressure decreases when the speed increases
As before, this is a direct consequence of Bernoulli's equation:
[tex]p+ \frac{1}{2}\rho v^2 = cost.[/tex]
where p is the pressure, [tex]\rho[/tex] is the fluid density and v the speed. From the formula, we see that when the speed increases, the pressure decreases.
4) if an object suspended by a scale shows a weight of 3 n in air, and 2 n when submerged in water, the buoyant force on the submerged object is:
Answer: 1 N
The weight shown by the scale is the difference between the real weight of the object (pointing downward) and the buoyant force (pointing upward). Since the real weight is 3 N (in air), and the apparent weight in water is 2 N, the buoyant force must be
[tex]B=3 N-2 N=1 N[/tex]
5) how does the volume of a completely submerged object compare with the volume of water displaced?
Answer: the volumes are equal
Indeed: when the object is completely submerged, the volume of water displaced is exactly equal to the volume of the object.
6) a helium-filled balloon will reach its maximum altitude when __________.
Answer: its weight equals the weight of displaced air.
In fact, when the weight of the balloon becomes equal to the weight of the displaced air, the weight of the object (pointing downward) becomes equal to the buoyant force (pointing upward), so the balloon is in equilibrium and it no longer moves.
7) the buoyant force on a floating object is __________.
Answer: equal to the object's weight
Exactly: since the object is floating, it must be in equilibrium. This means that the buoyant force on the object is exactly equal to the weight of the object.