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.
Answer:
Step-by-step explanation:
In this problem, we have that:
So we can see this as an equation that comes from matching two equations, these two equations are:
Therefore, by matching , we'll find the y-value at which these two functions intersects, that is:
Answer:
£ 294
Step-by-step explanation:
Let Caroline get "c"
Sarah get "s"
ad
Gavyn get "g"
Now,
Caroline gets TWICE as Sarah, so we write:
c = 2s
Also,
Sarah gets THREE times as Gavyn, so we can write:
s = 3g
or
g = (1/3)s
Also, total is 980 between 3 person, so we can write:
c + s + g = 980
We replace this equation with first 2 (in bold) to get:
Now, we solve for s:
Sarah gets £ 294