Answer:
(a) F = 18.99 N
(b) F = 23.96 N
(c) F = 258.56 N
Explanation:
First we need to find the volume of the block:
Volume of Block = V = (Length)(Width)(Height)
V = (10.5 cm)(12.3 cm)(15 cm)
V = (0.105 m)(0.123 m)(0.15 m)
V = 0.00194 m³
Now, the buoyant force i given by the formula:
F = (Density of Fluid)(V)(g)
(a)
F = (Density of Water)(V)(g)
F = (1000 kg/m³)(0.00194 m³)(9.8 m/s²)
<u>F = 18.99 N</u>
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(b)
F = (Density of Glycerine)(V)(g)
F = (1260 kg/m³)(0.00194 m³)(9.8 m/s²)
<u>F = 23.96 N</u>
<u></u>
(c)
F = (Density of Mercury)(V)(g)
F = (13600 kg/m³)(0.00194 m³)(9.8 m/s²)
<u>F = 258.56 N</u>
Answer:
Explanation:
Let us first calculate for Virgo

Using Hubble's law
For Virgo

Percentage difference for the Virgo

Now for calculate for Corona Borealis

Using Hubble's law
For Corona Borealis

Percentage difference for the Virgo

So clearly Hubble's law is more accurate for the closer objects
Answer:
a) (momentum of the elephant), p1 = 14625 kg×m/s
b) p1 = 609.4×p2
c) (momentum of the hunter), p3 = 720 kg×m/s.
Explanation:
a) if m = 1950 kg is the mass of the elephant and V = 7.50 m/s be the speed of the elephant, then the momentum is given by:
p1 = m×V = (1950)×(7.50) = 14625 kg×m/s
b) if m = 0.0400 kg is the mass of the bullet and v = 600 m/s be the speed of the bullet, then the momentum of the bullet is given by:
p2 = m×v = (0.0400)×(600) = 24 kg.m/s
then:
p1/p2 = (14625)/(24) = 609.4
that is, p1 = 609.4×p2
Therefore, the momentum of the elephant is 609.4 times the momentum of the bullet.
c) the momentum og the hunter after missing the elephant is given by:
p3 = m×v = (90.0)×(8) = 720 kg.m/s
Therefore, the momentum of the hunter is 720 kg×m/s.
Answer:
v = 15.65 m/s
Explanation:
We use conservation of mechanical energy between initial (i) and final (f) states:
Pi + KEi = Pf + KEf
At the top of the cave at the instant the bat starts to fall, there is only potential energy since the bat's velocity is zero.
Pi = m g h = 600 J
and the KEi = 0 J (no velocity)
Knowing the height of the cave's roof (12.8 m) , we can find the mass of the bat:
m = 600 J / (g 12.5) = 4.9 kg
Using conservation of mechanical energy, the final state is:
Pf + KEf = 600 J
with Pf = 0 (just touching the ground)
KEf= 1/2 4.9 (v^2)
and we solve for the velocity:
600 J = 0 + 1/2 4.9 (v^2)
v^2 = 600 * 2 / 4.9 = 244.9
v = 15.65 m/s