Answer:
The experimental apparatus shown in the figure above contains a pendulum consisting of a 0.66 kg ball attached
to a string of length 0.60 m. The pendulum is released from rest at an angle of 60 degrees and collides with a ball of mass 0.22 kg initially at rest at the edge of a table. The 0.22 kg ball hits the floor a distance of 1.4 m from the
edge of the table.
(a) Calculate the speed of the 0.66 kg ball just before the collision.
2.4 m/s
(b) Calculate the speed of the 0.22 kg ball immediately after the collision.
2.8/m s
(c) Calculate the speed of the 0.66 kg ball immediately after the collision.
1.5 m/s
(d) Indicate the direction of motion of the 0.66 kg ball immediately after the collision.
____ To the left __X__ To the right
(e) Calculate the height to which the 0.66 kg ball rises after the collision.
0.11 m
(f) Based on your data, is the collision elastic?
____ Yes __X__ No
Coefficient of elasticity of less than one means an inelastic collision.
Justify your answer.
Explanation:
See attached.
In the last hour, Ellie observed 32 monarchs, 56 gulf fritillaries, and 8 giant swallowtails visit her butterfly garden. If 480 butterflies visit her garden, how many can we expect will be giant swallowtails?
Answer:
40 is the answer
Explanation:
As per the given details, we can expect that 40 of the 480 butterflies that visit Ellie's garden will be giant swallowtails.
What is fraction?A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator.
Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator.
The total number of butterflies observed in the last hour is:
32 + 56 + 8 = 96
This represents the fraction of the total butterflies that were observed, and we can set up a proportion to solve for the number of giant swallowtails in the total population:
8/96 = x/480
Multiplying both sides by 480, we get:
x = (8/96) * 480
x = 40
Therefore, we can expect that 40 of the 480 butterflies that visit Ellie's garden will be giant swallowtails.
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