Question

Тело перемещается прямолинейно под действием силы 31 Н, которая приложена под углом 60° к горизонту. При перемещении тела совершается работа величиной 36177 Дж. На какое расстояние переместится тело?

Answer 1

Дано:
F = 31 H;
a = 60°;
A = 36177 Дж.
S — ?

Решение:
А = FS*cos(a),
S $= \frac{A}{Fcos(a)}$.

Вычисления:
S $= \frac{36177}{31*cos(60^0)} = 2334$ (м).

Ответ: 2334 м.

Answer 2

Calculation of Work Done

To determine the distance the body will move, we need to calculate the work done by the force applied at an angle of 60° to the horizontal. The work done by a force can be calculated using the formula:

Work = Force × Distance × cos(θ)

Where: - Work is the work done (in joules, J) - Force is the magnitude of the force applied (in newtons, N) - Distance is the distance over which the force is applied (in meters, m) - θ is the angle between the force and the direction of motion (in degrees)

In this case, we are given: - Force = 31 N - Angle (θ) = 60° - Work = 36177 J

We can rearrange the formula to solve for distance:

Distance = Work / (Force × cos(θ))

Now let's substitute the given values into the formula and calculate the distance.

Calculation:

Distance = 36177 J / (31 N × cos(60°))

Using a calculator, we can evaluate the expression:

Distance ≈ 36177 J / (31 N × 0.5) ≈ 2340.9 m

Therefore, the body will move approximately 2340.9 meters under the given conditions.