Question

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?​

Answer 1

16m/s

Step-by-step 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;

`F = ma`

Where;

• F represents force.

• m represents the mass of an object.

• a represents acceleration.

Making acceleration (a) the subject, we have;

`Acceleration, a = (F)/(m)`

Substituting into the equation;

`Acceleration, a = (16)/(5)`

Acceleration, a = 3.2 m/s²

Now, to find velocity;

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

`V = U + at`

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;

`V = 0 + 3.2*5`

`V = 0 + 16`

Velocity, V = 16m/s.