Answer:
4. both blocks will both have the same amount of kinetic energy.
Explanation:
When the blocks are released free from the compression force, the spring exerts equal and opposite force on each block but the block with heavier (double) mass will attain slower ( half ) speed as compared to the lighter block according to the law of inertia. This works in synchronization to energy conservation.
Spring force is given as:

where:
length of compression in the spring
<u>We know kinetic energy is given by:</u>

Hence the kinetic energy of both the blocks is equal when they are released to move free.
The energy that the rope absorbs from the climber is Ep=m*g*h where m is mass of the climber, g=9.81m/s² and h is the height the climber fell. h=4 m+2 m because he was falling for 4 meters and the rope stretched for 2 aditional meters. The potential energy stored in the rope is Er=(1/2)*k*x², where k is the spring constant of the rope and x is the distance the rope stretched and it is
x=2 m. So the equation from the law of conservation of energy is:
Ep=Er
m*g*h=(1/2)*k*x²
k=(2*m*g*h)/x² = (2*60*9.81*6)/2² = 7063.2/4 =1765.8 N/m
So the spring constant of the rope is k=1765.8 N/m.
Answer:
2.4s
Explanation:
The length of the pendulum = 75ft
Diameter d = 12 inches
The time period of the pendulum is given as
T = 2pi(L/g)^1/2
Then the time it takes to move from displacement to equilibrium is given as:
t = T/4
= (Pi/2)*(L/g)^1/2
= pi/2 x [(75x0.3048)/9.81]^0.5
= 1.57x[22.86/9.81)^0.5
= 2.4s
2.4 seconds is the least amount of time that it would take.
Answer
speed of the molecules
s₁ = v t
when velocity is doubled
s₂ = (2 v)t
= 2 s₁
they will hit the wall of container two times as often.
the momentum of molecule
p₁ = mvr
p₂ = m(2v)r = 2(mvr)
= 2 p₁
the momentum change is two times as great.
force is change in momentum
Δp = F(Δt)
mv-(-mv) = 2 mv

F α v
therefore average force impart to the wall on each collision is two times


p α v²
here the velocity is doubled it means pressure becomes four times.