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Andreyy89
3 years ago
14

15. (UFPE) A figura a seguir mostra um bloco de massa 10 kg,

Physics
1 answer:
MAVERICK [17]3 years ago
4 0

Answer: 18 N

Explanation:

According to the described situation, the net force in the Y component is zero and we will work only with the X component.

We have a block with mass m=10 kg and two forces acting on it. which are F_{e} and 30N in the opposite direction, so the net force F acting on the object is:

F=F_{e}-30N (1)

In addition:

F=m.a (2)

On the other hand, acceleration a is <u>the result of the second derivative of the position with respect to time</u>, this means we have to derive twice the following equation:

X=150 + 12 t - 0.60 t^{2} (3) Being X the position in meters and t the time in seconds.

Let's derive (3) and find the velocity V:

V=\frac{d}{dt}(X)=\frac{d}{dt}(150) + \frac{d}{dt} (12 t) - \frac{d}{dt} (0.60 t^{2}) (4)

V=\frac{d}{dt}(X)=12 - 1.2 t (5) This is the velocity

Now, let's derive (5) and find the acceleration:

a=\frac{d}{dt}(V)=\frac{d}{dt}(12) - \frac{d}{dt}(1.2 t) (6)

a=-1.2m/s^{2} (7) This is the acceleration

Substituting (7) in (2):

F=(10kg)(-1.2m/s^{2}) (8)

F=-12 N (9) This is the value of the net force

Substituting (9) in (1):

-12 N=F_{e}-30N (10)

Finally finding F_{e}:

F_{e}=18 N (11)

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