contestada

A 100 kg cyclist accelerates from rest to a speed of 8 m/s in 4s. What force would she
have to use the achieve this acceleration?

Respuesta :

prhsmms

Answer:

[tex]F=200N[/tex]

Solution Pathway:

Variables:

[tex]m=100kg\\a=?\\v=8m/s\\t=4s\\F=?[/tex]

Equation:

[tex]F=ma[/tex]

  • Force = mass × acceleration

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

  • acceleration = velocity ÷ time

Math:

[tex]F=(100kg)(\frac{8m/s}{4s})[/tex]

  • Plug in your values given in the problem.

[tex]F=(100kg)(2m/s^2)[/tex]

  • [tex]m/s^2[/tex] shows that you plugged the right values into your velocity and time variables. Now solve.

[tex]F=200N[/tex]