Answer:
he angular velocity w = 4.19 rad / s
Explanation:
The girl is synchronized with the movement of the rope, therefore we can describe the movement of the girl with the angular velocity
w = θ/t
if we fear 40 jumps and each one is a revolution
θ = 40 2pi = 80π radiation
t = 1 min = 60 s
w = 80π / 60
w = 4.19 rad / s
this must be the same angular velocity of the rope
Conservation of momentum so the total initial momentum in the system is equal to the total final momentum in the system. You must remember that if an object is travelling in the negative direction, you must put a negative sign for the velocity.
mv + mv = mv
plug in all the numbers
(0.0323)(4.50) + (0.078)(-1.12) = (0.0323 + 0.078)Vf
multiply everything together
0.14535 - 0.08736 = 0.1103Vf
simplify
0.05799 = 0.1103Vf
isolate for vf
Vf = 0.5257m/s east
Answer:
Mass, m = 816.33kg
Explanation:
Weight can be defined as the force acting on a body or an object as a result of gravity.
Mathematically, 
Where;
- m is the mass of an object.
- g is acceleration due to gravity.
Making mass, m the subject of formula, we have;
Given the following data;
Weight = 8000N
We know acceleration due to gravity is equal to 9.8 m/s²
Substituting into the equation, we have;
Mass, m = 816.33kg
Therefore, the mass of the elevator is 816.33kg.
The correct answer is - the North Pole only.
During the Ice Age, or rather the glaciation, the continental glaciers originated from the North Pole and started expanding deeper into the continental masses from that starting point. The South Pole can be excluded because doesn't really matter if it is an Ice Age or not it is still frozen, plus Antarctica is surrounded with ocean waters thus the ice cannot expand further.
The glaciers during the Ice Age managed to occupy large portions of North America, coming as south as the northern part of what is now the United States. Also, the northern half of Europe and the northern half of Asia were also covered in ice.
Answer: B
Cohesion makes water stick together, which is vital in transporting nutrients from tree roots to other parts of the plant.
