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harkovskaia [24]
3 years ago
15

The net force acting on an object in the horizontal direction is 25 newtons, and the force acting in the vertical direction is 1

8 newtons. Find the angle from the horizontal in which the force is acting.
36°



0.37°



70°



81
Physics
1 answer:
Zina [86]3 years ago
4 0
The angle is found by taking the arctangent of the vertical angle divided by the horizontal angle
θ = arctan(18/25) = 35.75°
36° is the closest answer.
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Explanation:

The solution consists of two steps, the first step is using the following kinematic equation:

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The initial velocity is 10 [m/s], and the final velocity is zero because the car stops in 0.5[s].

Replacing:

0=10+a*(0.5)\\a=-20[m/s^2]

Now in the second part, we need to use the second law of Newton, this law relates the forces with the acceleration of a body.

In the moment when the car stops suddenly the driver will feel the force of the seatbelt acting in the opposite direction of the movement.

F=m*a\\F=50[kg]*(-20[m/s^2])\\units\[kg]*[m/s^2]=[N]\\F=-1000[N] or -1*10^{3} [N]

The minus sign means that the force is acting in the opposite direction of the movement.

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Answer:

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