Answer:
Explanation:
mass of each object = m
momentum conservation: mv₁ + mv₂ = 2mv, so v = (v₁ + v₂)/2
Initial KE = mv₁²/2 + mv₂²/2 = m(v₁² + v₂²)/2
final KE = (2m)v²/2 = m(v₁ + v₂)²/4
Change in KE = m(v₁² + v₂²)/2 - m(v₁ + v₂)²/4 = m(v₁ + v₂)²/4
= m(v₁² + v₂² + 2v₁v₂)/4 = (1/2) m(v₁² + v₂²)/2 + mv₁v₂/2
Fraction loss = change in KE / initial KE = 1/2 + v₁v₂/(v₁² + v₂²)
A.radioactive isotopes are used to detect medical problems.
C.Radioactive isotopes are used to treat some diseases.
D.radiation is used to kill cancer cells.
Momentum of an object is calculated by multiplying the mass by the velocity.
p = mv
where:
p = momentum
m = mass
v = velocity
Let's take your given into account and put it in the equation:
p = mv
30,000 kg.m/s = (400kg)v
Velocity is our unknown, so to get it all we need to do is transfer mass (m) to the other side of the equation and isolate the velocity (v). When we do this, we need to use the opposite operation (rules of transposition).
(30,000kg.m/s)/(400kg) = v
Cancel out the kg and you are left with m/s.
75m/s = v
The answer is then D. 75 m/s.
Now for your second question, as you can see in the formula, mass and velocity is directly proportional to momentum. That means that the higher the mass or the velocity, the higher the momentum.
So if the velocity increases, the momentum increases as well.
Answer:
PE = 735 J
Explanation:
PE = mgh:
PE = (25)(9.8)(3) = 735 J
