Answer: 
Explanation:
Given
Car drives 215 km east and then 45 km North
Displacement is East direction is

Now, the displacement from that to 45 km North is given by

Net displacement is 

Magnitude of the displacement is

<span>So we want to know what is the direct effect of the gas particles if the force of their collision with the walls of the container is increased. Pressure, microscopically, is defined as the number of collisions per unit area. If we increase the force of the collision, the pressure increases so that is the direct effect. </span>
Answer:


Explanation:
Given:
temperature of source reservoir, 
temperature of sink reservoir, 
energy absorbed from the source, 
work done, 
a.
<u>Now change in entropy of the surrounding:</u>

<em>Since heat engine is a device that absorbs heat from a high temperature reservoir and does some work giving out heat in the universe as the byproduct.</em>



b.
<u>We know Carnot efficiency is given as:</u>



<u>Now the Carnot work done:</u>


.......................(1)
c.
From eq. (1) we have the Carnot work, so the difference:



Now, we find:

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