The kinetic energy of a moving object is related to its mass and velocity by the formula Ek=1/3mv^2, where Ek is the kinetic energy in Jules, m is the mass of the object in kilograms, v is the objects velocity in metres per second. what are the possible velocities for a 3kg object with a kinetic energy of less than 600 J? ( negative velocities are acceptable and represent the opposite direction of a positive velocity)
6 years ago
Answered By Kimberly I
Ek - 1/3 mv2
Ek = kinetic energy (J)
m = mass of object (kg)
v = velocity (m)
Given: m= 3kg Ek = 600
1/3mv2 < 600
1/3 (3) v2 < 600
v2 < 600
v < squareroot (600)
v < 24.295
v< 24.5m/s
6 years ago
Answered By Majid B
$E\left(k\right)=\frac{1}{3}mv^2$E(k)=13 mv2 => $v^2=\frac{3E\left(k\right)}{m}$v2=3E(k)m => $v=\pm\sqrt{\frac{3E\left(k\right)}{m}}$v=±√3E(k)m
$v=\pm\sqrt{\frac{3\times600}{3}}$v=±√3×6003 => $v=\pm24.49$v=±24.49 m/sec