Answer: 14 m/s
Explanation:
Assuming the velocity at the diving board is negligible, the potential energy at the diving board height will convert to kinetic energy.
½mv² = mgh
v = √(2gh)
v =√2(9.8)(10))
v = 14 m/s
No effective techniques appear on the list of choices that you have provided.
For this task we need to use Kepler's third law:
T = 2*pi*
where T is orbital period in seconds, r is Venus's semi-major axis, G is gravitational constant and M is mass of the sun.
Distance from earth to sun is 1AU so if we know earths period and distance from the sun we can calculate Venus period.
Te-earths period
Tv-venus period
From the text we know that Re/Rv = 1/0.723
Which means that:
Tv = 0.614 Te
Answer:
Yes, if the carts are travelling into opposite directions
Explanation:
The total momentum of a two carts system is the sum of the momenta of the individual carts:
where
m1, m2 are the masses of the two carts
v1, v2 are the velocities of the two carts
In order to have a total momentum of zero, we must have
(1)
Let's remind that velocity (and so, momentum as well) is a vector quantity: this means that it has a direction, so when summing together the momenta, we must also consider the sign of the velocity, depending on its direction.
Therefore, if the two carts are moving in opposite directions, the signs of the two velocities will be opposite. For example, we can have
This means that the condition in eq.(1) can be satisfied, provided that the two carts are travelling into opposite directions.