Question

На тело массой 2 кг действует силоа 10Н. В начальный момент скорость равна 5 м/с и её направление совпадает с направлением силы. тело переместилась на 5 м. 1) чему равна работа силы 2)какова начальная кинетическая энергия тела 3)какова конечная кинетическая энергия тела

Answer 1

А=F×S=10×5=50Дж
$E_{1} = \frac{m V^{2} }{2}$ = 25Дж
A=Eк-E₀
Eк=A+E₀=50+25=75 Дж

Answer 2

Given Information:

- Mass of the body: 2 kg - Force acting on the body: 10 N - Initial velocity of the body: 5 m/s (in the same direction as the force) - Displacement of the body: 5 m

1) Work done by the force:

The work done by a force on an object is given by the formula: work = force × displacement × cos(θ), where θ is the angle between the force and the displacement.

In this case, the force and displacement are in the same direction, so the angle θ is 0 degrees. Therefore, the formula simplifies to: work = force × displacement.

Substituting the given values: - Force = 10 N - Displacement = 5 m

The work done by the force is calculated as follows: work = 10 N × 5 m = 50 J.

Therefore, the work done by the force is 50 Joules.

2) Initial kinetic energy of the body:

The initial kinetic energy of an object is given by the formula: kinetic energy = 0.5 × mass × velocity^2.

Substituting the given values: - Mass = 2 kg - Velocity = 5 m/s

The initial kinetic energy of the body is calculated as follows: kinetic energy = 0.5 × 2 kg × (5 m/s)^2 = 25 J.

Therefore, the initial kinetic energy of the body is 25 Joules.

3) Final kinetic energy of the body:

The final kinetic energy of an object can be calculated using the same formula as the initial kinetic energy: kinetic energy = 0.5 × mass × velocity^2.

Since the force is acting in the same direction as the displacement, the work done by the force is equal to the change in kinetic energy of the body. Therefore, the final kinetic energy of the body is equal to the initial kinetic energy plus the work done by the force.

Substituting the given values: - Initial kinetic energy = 25 J - Work done by the force = 50 J

The final kinetic energy of the body is calculated as follows: final kinetic energy = initial kinetic energy + work done by the force = 25 J + 50 J = 75 J.

Therefore, the final kinetic energy of the body is 75 Joules.