For this case what we should do is use the given equation:
F = mg sin (theta)
And replace the following values:
m = 0.01 kg
g = 9.8m / s ^ 2
theta = 22.5 degrees
Substituting we have:
F = (0.01) * (9.8) * sin (22.5)
F = 0.037502976 N
Answer:
The force pulling on the pendulum when it makes a 22.5 degree angle with the vertical is:
F = 0.037502976 N
Answer:
30% probability that the ball taken from B is red.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Red ball from urn A:
3/6 = 1/2 probability of getting a red ball from urn A.
Then urn B will have 5 balls, 2 of which are red, so 2/5 probability of getting a red ball.
Blue ball from urn A:
3/6 = 1/2 probability of getting a blue ball from urn A.
Then urn B will have 5 balls, 1 of which is red, so 1/5 probability of getting a red ball.
Total:

3/10 = 0.3 = 30%.
30% probability that the ball taken from B is red.
The answer to this question would be 1/8 or in decimal form it would be 0.125. hopefully this helps with your question.
5>x because you can subtract 5 from both sides and 3x from both sides