Question

На тело массой 5 кг действуют две равные силы, направленные под углом 120 градусов друг к другу. С каким ускорением движется тело, если модули сил 15Н?

Answer 1

По второму закону Ньютона:
$ma_{x}=F_{1x}+F_{2x} \\ ma=F*cos (\alpha/2) +F*cos (\alpha /2) \\ a=2*F*cos( \alpha /2)/m$
a = (2 * 15Н * cos 60) / (5 кг) = 3 м/с^2.
Ответ: 3 м/с^2.

Answer 2

Calculating Acceleration of a 5kg Mass Under the Influence of Two Equal Forces at 120 Degrees

To calculate the acceleration of a 5kg mass under the influence of two equal forces at 120 degrees, we can use the formula for acceleration:

Acceleration (a) = Net Force (F) / Mass (m)

Given that the forces are equal and have a magnitude of 15N each, we can calculate the net force acting on the mass.

The net force can be found using the following trigonometric relationship: Net Force (F) = 2 * Force * cos(120°)

Substituting the given values: Net Force (F) = 2 * 15N * cos(120°)

Using the trigonometric identity: cos(120°) = -0.5

Substituting the value of cos(120°): Net Force (F) = 2 * 15N * (-0.5) = -15N

Now, we can calculate the acceleration using the formula: Acceleration (a) = Net Force (F) / Mass (m) Acceleration (a) = -15N / 5kg = -3 m/s^2

Therefore, the acceleration of the 5kg mass, under the influence of two equal forces at 120 degrees with a magnitude of 15N each, is -3 m/s^2.