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romanna [79]
3 years ago
13

What volume of lead must be fastened underneath it to sink the wood in calm water so that its top is just even with the water le

vel?
Physics
1 answer:
astraxan [27]3 years ago
4 0
The bouyancy force is:  

Since the wood-lead system is completely submerged, the bouyancy force 

 is FB = ĎwgVl + ĎwgVb, where Ďw is the density of water,Vl 

 is the volume of 

 the piece of lead and Vb is the volume of the wooden block. The weight of the

  combined lead and wooden block is: W = ĎlgVl + ĎbgVb. Since the system is 

 in equilibrium, the bouyancy force must be equal to the total weight: 

 ĎwgVl + ĎwgVb = ĎlgVl + ĎbgVb 

 now we can solve for the volume of lead: 

 ĎwgVl â’ ĎlgVl = ĎbgVb â’ ĎwgVb 

 Vl(Ďw â’ Ďl) = Vb(Ďb â’ Ďw) 

 Vl =   

 Ďbâ’Ďw 

 Ďwâ’Ďl   

 Vb 

 Now we substitute the values for the density of lead Ďl = 11.3 Ă— 103kg/m3  , 

 the density of the wood and the density of water Ďw = 1000kg/m3 

 . We get: 

 Vl =   

 600â’1000 

 1000â’11300 

 (0.6m Ă— 0.25m Ă— 0.08m) = 4.66 Ă— 10â’4m3
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A piece of gum is stuck to the outer edge of a horizontal turntable, which is revolving at a constant speed. The shadow of the g
cestrela7 [59]

Answer:

angular frequency of the table must be same as the frequency of the projection of the gum on the wall

Explanation:

Since we know that the projection on the wall is the vertical component of the position of the gum on the rotating table

So here we will say

y = R sin\theta

so the angle made by the radius vector depends on the angular frequency of the disc by which it is rotating

So we can say

\theta = \omega t

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so here we can say that

angular frequency of the table must be same as the frequency of the projection of the gum on the wall

7 0
4 years ago
A solid sphere of uniform density has a mass of 3.0 × 104 kg and a radius of 1.0 m. What is the magnitude of the gravitational f
elena55 [62]

Answer:

a) Fg = 9.495x10⁻⁶N

b) Fg = 3.908x10⁻⁶N

c)

F_{g} =\frac{Gm_{1}m_{2}R  }{r^{3} }

Explanation:

Given:

m₁ = mass = 3x10⁴kg

r = radius = 1 m

m₂ = 9.3 kg

Questions:

a) What is the magnitude of the gravitational force due to the sphere located at R = 1.4 m, Fg = ?

b) What is the magnitude of the gravitational force due to the sphere located at R= 0.21 m, Fg = ?

c) Write a general expression for the magnitude of the gravitational force on the particle at a distance r ≤ 1.0 m from the center of the sphere.

a) Since R > r, the equation for the gravitational force is:

F_{g} =\frac{Gm_{1}m_{2}  }{R^{2} }

Here,

G = gravitational constant = 6.67x10⁻¹¹m³/s² kg

Substituting values:

F_{g} =\frac{6.67x10^{-11}*3x10^{4}*9.3  }{1.4^{2} } =9.495x10^{-6} N

b) Since R < r, the equation for the gravitational force is:

F_{g} =\frac{Gm_{1}m_{2}R  }{r^{3} } =\frac{6.67x10^{-11}*3x10^{4}*9.3*0.21  }{1^{3} } =3.908x10^{-6} N

c) The general expression for the magnitude of the gravitational force on the particle at a distance r ≤ 1.0 is the same to b)

F_{g} =\frac{Gm_{1}m_{2}  R}{r^{3} }

8 0
3 years ago
1. Uranium-238 decays by giving off one particle, and the decay can be represented by the following nuclear equation: 92238U 902
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7 0
4 years ago
Rank an automobile dashboard, seat belt, and air bag in terms of (a) the impulse.(b) the average force each delivers to a front-
DedPeter [7]

The correct order is dashboard>  seat belt  >  airbag.

<h3>What is the momentum?</h3>
  • The object's change in momentum is equal to the impulse it experiences. When two objects collide, an impulse occurs, which both causes and equals the change in momentum. This equation states that F • t = m • v.
  • Mass in motion is described by momentum, which is the result of an object's mass and velocity. Impulse: An impulse is a force used to change the motion of an object.
  • The change in momentum (P) over the change in time (t) equals force (F). And the impulse is equal to the change in momentum (P) (J). The units for momentum and impulse are kg*m/s and N*s, respectively.
  • The aggregate of the momentum changes brought on by force is what is referred to as an impulse. A change in momentum is caused by force, not by impulse. Keeping track of the entire amount of force exerted to an object is all that the term "impulse" really means.

a) impulse = change in momentum

Now for all three cases, the change in momentum is the same, so the impulse is equal for all cases.

b) now average force = impulse/time

for the dashboard, time is very less as the person stops suddenly

for seat, belt time is a bit more, and for air bad, time is the greatest

so the average force is the least for airbag.

So the correct order is dashboard   >  seat belt  > airbag.

To learn more about momentum, refer to:

brainly.com/question/402617

#SPJ4

8 0
2 years ago
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