Answer:
time taken is equal to 14,156 years
Explanation:
we know,

at t = 0
Y(0) = A
given that half life of plutonium 239 = 24,200



hence time taken is equal to 14,156 years
Answer:
The speed of second toy cart is 4 m/s.
(c) is correct option
Explanation:
Given that,
Mass of first toy cart = 2 kg
Mass of second toy cart = 6 kg
Speed of first toy cart = 12 m/s
We need to calculate the speed of second toy cart
Using formula of momentum

Where, m₁ = mass of first toy cart
m₂ = mass of second toy cart
v₁ = velocity of first toy cart
v₂ = velocity of second toy cart
Put the value into th formula



Hence, The speed of second toy cart is 4 m/s.
(c) is correct option
Answer:
It only depends on the vertical component
Explanation:
Hello!
The horizontal component will tell you how much you travel in that direction.
You could have a large horizontal velocity, but if the vertical velocity is zero, you will never be out of the ground. Similarly, you could have a zero horizontal velocity, but if you have a non-zero vertical velocity you will be some time off the ground. This time can be calculated by two means, one is using the equation of motion (position as a function of time) and the other using the velocity as a fucntion of time.
For the former you must find the time when the position is zero.
Lets consider the origin of teh coordinate system at your feet
y(t) = vt - (1/2)gt^2
We are looking for a time t' for which y(t')=0
0 = vt' - (1/2)gt'^2
vt' = (1/2)gt'^2
The trivial solution is when t'=0 which is the initial position, however we are looking for t'≠0, therefore we can divide teh last equation by t'
v = (1/2)gt'
Solving for t'
t' = (2v/g)
Answer:
Current for 12 ohms = 2.5
Explanation:
Ohm's Law:
Voltage = IR
Current = V/R
Resistance = V/I
Therefore, current = 30V/12 Ohms
30/12 = 2.5
So current for 12 ohms = 2.5
I hope this helps :>
The Answer Is Going To Be14,700