Question

Найти проекцию силы, действующей на тело массой 500кг, если тело движется прямолинейно и его скорость изменяется по закону v = — 10 + 2t.

Answer 1

V=Vo+аt
v = -10 + 2t
а=2м/с2
F=ma
F=500*2=1000H

Answer 2

Finding the Projection of Force on a Moving Body

To find the projection of force acting on a body, we need to determine the force acting on the body and the direction in which it is applied. In this case, we are given that the body has a mass of 500 kg and is moving in a straight line with a velocity that changes according to the equation v = -10 + 2t.

To find the force acting on the body, we can use Newton's second law of motion, which states that force (F) is equal to the mass (m) of an object multiplied by its acceleration (a). In this case, the acceleration can be found by taking the derivative of the velocity equation with respect to time (t).

Let's calculate the acceleration first:

a = dv/dt

Given that v = -10 + 2t, we can differentiate this equation with respect to time:

a = d/dt (-10 + 2t) a = 2

So, the acceleration of the body is constant and equal to 2 m/s^2.

Now, we can calculate the force acting on the body:

F = m * a F = 500 kg * 2 m/s^2 F = 1000 N

Therefore, the force acting on the body is 1000 Newtons.

Note: The search results provided by You.com did not provide relevant information for this specific question. The answer was derived using the principles of Newton's second law of motion and basic calculus.