The following stem-and-leaf plot represents the distribution of weights for a group of people. Stem Leaves 9 1 1 3 6 7 10 4 6 7
1 answer:
The weight of the lightest person in the group = 90 pounds
The diagram attached contains the stem-and-leaves plot referred to in the question.
The stem-and-leaves plot represents the weight distribution for a group of people.
The weight of each person in the group can be determined from the plot
The lightest person in the distribution can be determined by identifying the smallest leaf under the smallest stem
The smallest stem = 9
The smallest leaf under stem 9 = 0
Therefore, the lightest person in the group weighs 90 pounds
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Answer:
1,809.98 lb*m/s^2
Step-by-step explanation:
First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.
The weight of the boulder is:
W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)
This weight has a direction that is vertical, pointing downwards.
Now, we know that the angle of the hill is 35°
The angle that makes the direction of the weight and this angle, is:
(90° - 35°)
(A rough sketch of this situation can be seen in the image below)
Then we need to project the weight over this direction, and that will be given by:
P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2
This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.
