Answer:
0.053 m ang answer my phsiycal
Answer:
a) v = 0.8 m / s
, b)
= 0.777 m / s
, c) ΔK = 0.93 J
Explanation:
This exercise can be solved using the concepts of moment, first let's define the system as formed by the two blocks, so that the forces during the crash have been internal and the moment is conserved.
They give us the mass of block 1 (m1 = 100kg, its kinetic energy (K = 32 J), the mass of block 2 (m2 = 3.00 kg) and that it is at rest (v₀₂ = 0)
Before crash
po = m1 vo1 + m2 vo2
po = m1 vo1
After the crash
= (m1 + m2) 
a) The initial speed of the block of m1 = 100 kg, let's use the kinetic energy
K = ½ m v²
v = √2K / m
v = √ (2 32/100)
v = 0.8 m / s
b) The final speed,
p₀ =
m1 v₀1 = (m1 + m2) 
= m1 / (m1 + m2) v₀₁
The initial velocity is calculated in the previous part v₀₁ = v = 0.8 m / s
= 100 / (3 + 100) 0.8
= 0.777 m / s
c) The change in kinetic energy
Initial K₀ =
K₀ = 32 J
Final
= ½ (m1 + m2)
²
= ½ (3 + 100) 0.777²
= 31.07 J
ΔK =
- K₀
ΔK = 31.07 - 32
ΔK = -0.93 J
As it is a variation it could be given in absolute value
Part D
For this part s has the same initial kinetic energy K = 32 J, but it is block 2 (m2 = 3.00kg) in which it moves
d) we use kinetic energy
v = √ 2K / m2
v = √ (2 32/3)
v = 4.62 m / s
e) the final speed
v₀₂ = v = 4.62 m/s
p₀ = m2 v₀₂
m2 v₀₂ = (m1 + m2) 
= m2 / (m1 + m2) v₀₂
= 3 / (100 + 3) 4.62
= 0.135 m / s
f) variation of kinetic energy
= ½ (m1 + m2)
²
= ½ (3 + 100) 0.135²
= 0.9286 J
ΔK = 0.9286-32
ΔK = 31.06 J
Distance = speed x time
distance = 116 x 10
distance = 1160 m
<span>the answer is 7...What is the mass number of the isotope lithium-7?
the mass of isotope lithium-7 is 7. </span>
One of the fundamental pillars to solve this problem is the use of thermodynamic tables to be able to find the values of the specific volume of saturated liquid and evaporation. We will be guided by the table B.7.1 'Saturated Methane' from which we will obtain the properties of this gas at the given temperature. Later considering the isobaric process we will calculate with that volume the properties in state two. Finally we will calculate the times through the differences of the temperatures and reasons of change of heat.
Table B.7.1: Saturated Methane




Calculate the specific volume of the methane at state 1



Assume the tank is rigid, specific volume remains constant


Now from the same table we can obtain the properties,
At 


We can calculate the time taken for the methane to become a single phase

Here
Initial temperature of Methane
Warming rate
Replacing



Therefore the time taken for the methane to become a single phase is 5hr