Pam has a mass of 44.9 kg and she is at rest on
smooth, level, frictionless ice. Pam straps on
a rocket pack. The rocket supplies a constant
force for 20.5 m and Pam acquires a speed of
62 m/s.
What is the magnitude of the force?

Pam has a mass of 449 kg and she is at rest on smooth level frictionless ice Pam straps on a rocket pack The rocket supplies a constant force for 205 m and Pam class=

Respuesta :

  • Mass=m=44.9kg
  • Distance=s=20.5m
  • initial velocity=u=0m/s
  • Final velocity=v=62m/s
  • Force=F
  • Acceleration=a

Using third equation of kinematics

[tex]\\ \tt\longmapsto v^2-u^2=2as[/tex]

[tex]\\ \tt\longmapsto a=\dfrac{v^2-u^2}{2s}[/tex]

  • u=0

[tex]\\ \tt\longmapsto a=\dfrac{v^2}{2s}[/tex]

[tex]\\ \tt\longmapsto a=\dfrac{62^2}{2(20.5)}[/tex]

[tex]\\ \tt\longmapsto a=\dfrac{3844}{41}[/tex]

[tex]\\ \tt\longmapsto a=93.7m/s^2[/tex]

Apply Newton's second law

[tex]\\ \tt\longmapsto F=ma[/tex]

[tex]\\ \tt\longmapsto F=44.9(93.7)[/tex]

[tex]\\ \tt\longmapsto F=4207.2N[/tex]