Atoms with the same number of protons but with different electrical charges _____.
2 answers:
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Answer:
θ = 19.66°
Explanation:
To determine the angle that the rope makes with the vertical for the two people, you first take into account the potential energy of the first person before he swings on the rope:
h: distance to the ground
g: gravitational acceleration = 9.8m/s^2
m: mass of the first person = 55 kg
In the image attache below you can notice that the height h is:
Then, the potential energy is:
When the first person picks up the second person (when the rope is exactly vertical), all the potential energy becomes kinetic energy. Next, when both people reaches the maximum height h' the energy must be equal to the initial potential energy of the first person:
From the previous equation you can get h':
Finally, you obtain the angle between the rope at the height h,' and the vertical, by calculating the following:
hence, the angle between the rope and the vertical, when the two people are in the rope is 19.66°
Answer:
1.697s
Explanation:
We use the second equation of free fall under gravity as follows;
Since the ball fell freely, u = 0m/s, therefore equation (1) reduces to
Given that h is the total height the ball falls through in time t seconds.
However, according to the stated problem the ball falls halfway in 1.2s, this simply implies that the ball falls through a distance of in 1.2s. Hence we can write the following, given that
;
We can now proceed to find the time t for which it falls through h = 14.112m as follows;