Create 2 models, please.
1 answer:
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Answer:
51.82
Explanation:
First of all, let's convert both vectors to cartesian coordinates:
Va = 36 < 53° = (36*cos(53), 36*sin(53))
Va = (21.67, 28.75)
Vb = 47 < 157° = (47*cos(157), 47*sin(157))
Vb = (-43.26, 18.36)
The sum of both vectors will be:
Va+Vb = (-21.59, 47.11) Now we will calculate the module of this vector:
Answer:
Explanation:
In order to solve this problem, we mus start by drawing a free body diagram of the given situation (See attached picture).
From the free body diagram we can now do a sum of forces in the x and y direction. Let's start with the y-direction:
so:
now we can go ahead and do a sum of forces in the x-direction:
the sum of forces in x is 0 because it's moving at a constant speed.
so now we solve for theta. We can start by factoring mg so we get:
we can divide both sides into mg so we get:
this tells us that the problem is independent of the mass of the object.
we now divide both sides of the equation into so we get:
so we now take the inverse function of tan to get:
so now we can find our angle:
so
