Question

Ejercicio de la 2a ley de Newton

Answer 1

Given problem;

To this problem, we are going to apply Newton's second law of motion.

Mathematically it is expressed as;

           F = ma

where F is the force , m is the mass and a is the acceleration

1.- When applying a force of 60 Newtons on a body, an acceleration of 4 m / s2 is produced, calculate the value of its mass.

Given parameters:

   Force  = 60N

   Acceleration = 4m/s²

Unknown:

Mass = ?

Solution:

  Force  = mass x acceleration;

 Input the parameters and solve;

          60  = mass x 4

          mass  = $\frac{60}{4}$  = 15kg

2.- What will be the acceleration produced on a body of mass equal to 50 kilograms when applying a force of 250 newtons to it?

Given parameters:

    Mass = 50kg

    Force  = 250N

Unknown:

   Acceleration  = ?

Solution:

 Force  = mass x acceleration

    250  = 50 x acceleration

      Acceleration  = $\frac{250}{50}$   = 5m/s²

3.- What will be the force that must be applied on an 80 kilogram block to produce an acceleration of 2.5 m / s2?

  Given parameters;

      Mass  = 80kg

      Acceleration  = 2.5m/s²

 Unknown:

 Force  = ?

Solution:

Force = mass x acceleration

 Force= 80 x 2.5  = 200N

4.- When applying a force of 800 newtons to a car with a mass of 1500 kilograms produces a slight acceleration, what is the value of the acceleration?

Given parameters:

   Force  = 800N

   Mass  = 1500kg

Unknown:

  acceleration = ?

Solution:

  Force  = mass x acceleration

   800  = 1500 x acceleration

    acceleration  = $\frac{800}{1500}$   = 0.53m/s²

5.- A rock has a mass of 500 kilograms and to move it a force of 100 newtons is applied. What is the value of its acceleration?

 Given parameters:

   Mass = 500kg

   Force = 100N

Unknown:

  Acceleration  = ?

Solution:

  Force  = mass x acceleration

    100 = 500 x acceleration

    Acceleration  = $\frac{100}{500}$  = 0.2m/s²