A 0.561 kg object is at rest at the origin of a coordinate system. A 2.58 N force in the positive x direction acts on the object for 2.62 s. What is the velocity at the end of this interval

Respuesta :

Explanation:

According to the Newton's second law of motion,

                  F = ma

                    = [tex]\frac{m(v - u)}{t}[/tex]

or,          v = [tex]\frac{Ft}{m} + u[/tex]

                = [tex]\frac{2.58 \times 2.62 sec}{0.561 kg} + 0[/tex]

                = 12.049 m/s (+x direction)

Therefore, we can conclude that the velocity at the end of this interval is 12.049 m/s.

Answer:

Velocity at the end of this interval is [tex]12.049[/tex] meter per second

Explanation:

As we know that

[tex]F = m * a[/tex]

Where F signifies the force, m signifies the mass and a signifies the acceleration

Acceleration is the rate of change of speed or velocity and it can be represented as

[tex]a = \frac{v-u}{t}[/tex]

where v is the final velocity, u is the initial velocity and t is the time taken to change the velocity.

Here, the object is at rest , thus its initial velocity is zero.

Substituting the given values in above equation, we get -

[tex]2.58 = 0.561 * \frac{v - 0}{2.62} \\v = \frac{2.58 * 2.62}{0.561} \\v = 12.049 \frac{m}{s}[/tex]