A sample of a radioisotope shows an activity of 999 disintegrations per minute due to beta decay. If after 1.10 years the activi
1 answer:
Answer:
15.8 year
Explanation:
This this a first order decay reaction first order decay reaction is that reaction in which the rate of reaction is linearly depend on the concentration of reactants. for the first order decay the equation is given as
= -Kt
where =initial activity and A is the activity at time t K is a rate constant
using above equation = -K×1.10
K=0.043809 /year
Half life=
=
=15.8 year
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Explanation:
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C. The bug's change in momentum is equal to the car's change in momentum.
Answer:
(a) the final velocity of the cart is 0.857 m/s
(b) the impulse experienced by the package is 21.43 kg.m/s
(c) the fraction of the initial energy lost is 0.71
Explanation:
Given;
mass of the package, m₁ = 10 kg
mass of the cart, m₂ = 25 kg
initial velocity of the package, u₁ = 3 m/s
initial velocity of the cart, u₂ = 0
let the final velocity of the cart = v
(a) Apply the principle of conservation of linear momentum to determine common final velocity for ineleastic collision;
m₁u₁ + m₂u₂ = v(m₁ + m₂)
10 x 3 + 25 x 0 = v(10 + 25)
30 = 35v
v = 30 / 35
v = 0.857 m/s
(b) the impulse experienced by the package;
The impulse = change in momentum of the package
J = ΔP = m₁v - m₁u₁
J = m₁(v - u₁)
J = 10(0.857 - 3)
J = -21.43 kg.m/s
the magnitude of the impulse experienced by the package = 21.43 kg.m/s
(c)
the initial kinetic energy of the package is calculated as;
the final kinetic energy of the package;
the fraction of the initial energy lost;