A toy cannon launches a 46-g golf ball straight up into the air with a kinetic energy of 6.8 J. What must the

ball's velocity be as it leaves the cannon?

A. 0.54 m/s

B. 0.79 m/s

C. 17 m/s

D. 80 m/s

Respuesta :

Answer : The correct option is, (C) 17 m/s

Explanation :

Formula used :

[tex]K.E=\frac{1}{2}mv^2[/tex]

where,

K.E = kinetic energy = 6.8 J

m = mass of object = 46 g = 0.046 kg    (1 kg = 1000 g)

v = velocity

Now put all the given values in the above formula, we get:

[tex]K.E=\frac{1}{2}mv^2[/tex]

[tex]6.8J=\frac{1}{2}\times 0.046kg\times v^2[/tex]

[tex]6.8kg.m^2/s^2=\frac{1}{2}\times 0.046kg\times v^2[/tex]

[tex]v=17.19m/s\approx 17m/s[/tex]

Therefore, the ball's velocity be as it leaves the cannon is, 17 m/s