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A force of 16 N is applied to a 5 kg block that is at rest on a smooth, horizontal surface. What is the velocity of the

block at time t = 5 seconds?​

Respuesta :

Lanuel

Answer:

16m/s

Explanation:

Given the following data;

Force, F = 16N

Mass, m = 5kg

Time, t = 5 seconds.

First of all, we would find the acceleration of the object.

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is given by the formula;

[tex] F = ma[/tex]

Where;

  • F represents force.
  • m represents the mass of an object.
  • a represents acceleration.

Making acceleration (a) the subject, we have;

[tex]Acceleration, a = \frac{F}{m}[/tex]

Substituting into the equation;

[tex]Acceleration, a = \frac{16}{5}[/tex]

Acceleration, a = 3.2 m/s²

Now, to find velocity;

We would use the first equation of motion given by the formula;

[tex] V = U + at[/tex]

Where;

  • V is the final velocity.
  • U is the initial velocity.
  • a is the acceleration.
  • t is the time measured in seconds.

We know that acceleration due to gravity is 9.8m/s² and initial velocity (U) is 0 since the object is at rest.

Substituting into the equation, we have;

[tex] V = 0 + 3.2*5[/tex]

[tex] V = 0 + 16[/tex]

Velocity, V = 16m/s.

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