Response:
v = 4.08 m/s²
Clarification:
A scientist is creating a new synthetic material. The material’s density is 6.1 g/cm3. Which sentences describe how the scientis
2 answers:
You might be interested in
Answer:
The final size is nearly the same as the initial size because the increase in size is remarkably small
Solution:
According to the problem:
The proton beam energy is E = 250 GeV =
Distance traveled by the photon, d = 1 km = 1000 m
Proton mass,
Initial size of the wave packet,
Now,
This operates under relativistic principles
The rest mass energy for the proton is expressed as:
This proton energy is
Thus, the speed of the proton, v
The time to cover 1 km = 1000 m of distance is calculated as:
T =
T =
According to the dispersion factor;
Thus, the widening of the wave packet is relatively minor.
Hence, we can conclude that:
where
= final width
Answer:
Explanation:
According to the parameters provided,
mass of the clay lump, m₁ = 0.05 kg
initial velocity of the lump, u₁ = 12 m/s
mass of the cart, m₂ = 0.15 kg
initial speed of the cart, u₂ = 0
As the clay adheres to the cart, we have an inelastic collision scenario. Let v represent the combined speed of both the cart and lump post-collision. Given that momentum is conserved, we have:
The resultant speed is v = 3 m/s.
Thus, the final speed of both cart and lump following the collision is 3 m/s. This concludes the solution.
Answer:
The typical weight of a human heart is approximately 0.93 lbs.
Explanation:
Based on this,
the heart's weight constitutes about 0.5% of total body mass.
Total human weight = 185 lbs
Let the entire body weight be represented as w and the heart's weight as .
We aim to determine the heart's weight for a human
Using the provided information
Where, h = heart weight
w = human weight
The final weight of a human heart is 0.93 lbs.
Answer: Her velocity magnitude (v) relative to the shore is 5.70 km/h.
Explanation:
Let Q be the speed of the boat, and P be the speed of the river flow.
R represents the resultant velocity combining boat velocity and river current.
According to vector addition using the law of triangles:
From the diagram:
P = 3.5 km/h, Q = 4.5 km/h
Therefore, her velocity magnitude relative to the shore is 5.70 km/h.
