Answer:
The correct answer to the following question will be "2.7 m".
Explanation:
The given values are:
Velocity, v = 16 m/s
mass, m = 0.27 kg
Mechanical energy, M.E = 41.70 J
g = 9.8 m/s²
As we know,
Kinetic energy, [tex]K=\frac{mv^2}{2}[/tex]
Potential energy, [tex]U=m.g.h[/tex]
Now, the total mechanical energy will be:
⇒ [tex]\frac{mv^2}{2}+U[/tex]
⇒ [tex]41,71 \ kg.m^2/s^2[/tex]
Now,
⇒ [tex]h=\frac{E-(\frac{mv^2}{2})}{mg}[/tex]
On putting the estimated values, we get
⇒ [tex]=\frac{41.70-(\frac{0.27(16)^2}{2})}{0.27\times 9.8}[/tex]
⇒ [tex]=\frac{41.70-(\frac{0.27\times 256}{2} )}{2.64}[/tex]
⇒ [tex]=\frac{41.70-34.56}{2.64}[/tex]
⇒ [tex]=\frac{7.14}{2.64}[/tex]
⇒ [tex]=2.7 \ m[/tex]
