Answer:
6 days.
Explanation:
From radioactivity, The expression for half life is given as,
R/R' = 2⁽ᵃ/ᵇ)................... Equation 1
Where R = original mass of the radioactive substance, R' = Remaining mass of the radioactive substance after decay, a = Total time taken to decay, b = half life.
Given: R = 80 g, R' = 10 g, b = 2 days.
Substitute into equation 1
80/10 = 2⁽ᵃ/²⁾
8 = 2⁽ᵃ/²⁾
2³ = 2⁽ᵃ/²)
Equating the base and solving for a
3 = a/2
a = 2×3
a = 6 days.
Answer: minimum speed of launch must be 7.45m/s
Explanation:
Given the following:
Height or distance (s) = 2.83m
The final velocity(Vf) at maximum height = 0
Upward motion, acceleration due to gravity(g) us negative = -9.8m/s^2
From the 3rd equation of motion:
V^2 = u^2 - 2gs
Where V = final velocity
u = initial velocity
Therefore, u = Vi
u = √Vf^2 - 2gs
u = √0^2 - 2(-9.8)(2.83)
u = √0 + 55.468
u = √55.468
u = 7.4476 m/s
u = 7.45m/s
Explanation:
It is given that,
Mass of the soccer ball, m = 0.425 kg
Speed of the ball, u = 15 m/s
Angle with horizontal, 
Time for which the player's foot is in contact with it, 
Part A,
The x component of the soccer ball's change in momentum is given by :



The y component of the soccer ball's change in momentum is given by :



Hence, this is the required solution.
You did not provide the options. However, the options are
I = 6.0, R= 4.0 ohms
I = 9.0, R= 2.0ohms
I = 3.0, R= 2.0ohms
I = 8.0, R= 8.0 ohms
Answer:
The order of the resistors from the highest to the lowest is:
I = 8.0, R= 8.0 ohms
I = 6.0, R= 4.0 ohms
I = 9.0, R= 2.0ohms
I = 3.0, R= 2.0 ohms
Explanation:
ohm's law states that voltage across a conductor is directly proportional to the current flowing through it. V = IR
Based on this formula, the voltages in each of the resistors are calculated below from the highest to the lowest
V = 8 * 8 =64 volts
V = 6 * 4 =24 volts
V = 9 * 2 =18 volts
V = 3 * 2 =6 volts