Answer:
The mammoth bone is 22726 years old.
Explanation:
We can find how hold is the mammoth bone using the decay equation:
(1)
Where:
N(t): is the quantity at time t = 6.25%N₀
N₀: is the initial quantity
λ: is the decay constant
First, we need to find λ:
Now, by solving equation (1) for t we have:
Therefore, the mammoth bone is 22726 years old.
I hope it helps you!
(125 kg)*(9.81 m/s^2)*(10 m)
W = 12262.5 J
Since there is no number in front, there is NO coefficient.
B. No
Answer: 16N
Explanation:
According to coulombs law which states that the force of attraction between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Mathematically,
F = kq1q2/r²
If two charges that are separated by one meter exert 1-N forces on each other, the equation will become
1 = kq1q2/1²
kq1q2 = 1 ... (1)
If the charges are pushed together so the separation is 25 centimeters, the force between them becomes,
F = kq1q2/0.25² (25cm converted to meters)
0.0625F = kq1q2 ... (2)
Dividing equation 1 by 2 to determine the force F on each charges, it becomes;
1/0.0625F = kq1q2/kq1q2
1/0.0625F = 1
0.0625F = 1
F = 1/0.0625
F= 16N
Answer:
69.2 Nm
Explanation:
Since torque, τ = Fd where F = force and d = distance of force from center of wheel.
The torque due to the clockwise force F' = 43.2 N at a distance d' = radius of wheel = 2.42 m (since it is at the end of the wheel) is τ' = F'd' = 43.2 N × 2.42 m = 104.544 Nm. Since this force is counterclockwise, the torque is positive. So, τ' = 104.544 Nm
The torque due to the force F" = 67.8 N at a distance d" = 0.522 m from center of wheel is τ" = F"d" = 67.8 N × 0.522 m = 35.3916 Nm. Since this force is counterclockwise, the torque is negative. So, τ" = -35.3916 Nm
The net torque on the wheel τ = τ' + τ"
= 104.544 Nm + (-35.3916 Nm)
= 104.544 Nm - 35.3916 Nm
= 69.1524 Nm
≅ 69.2 Nm
