If the amount of energy needed to operate a 100 W light bulb for one minute were used to launch a 2-kg projectile, what maximum height would the projectile reach, ignoring any resistive effects?

a. 20 m
b. 50 m
c. 100 m
d. 200 m
e. 300 m

Respuesta :

Given that,

Power of the light bulb = 100 W

Mass of the projectile = 2 kg

Time, = 1 minute = 60 s

We need to find the maximum height that would the projectile reach. We know that the rate at which the work is done is called power. It can be given by the formula as follows :

[tex]P=\dfrac{W}{t}[/tex]

W is work done,

[tex]P=\dfrac{mgh}{t}[/tex]

h is maximum height reached

[tex]h=\dfrac{Pt}{mg}\\\\h=\dfrac{100\times 60}{2\times 9.8}\\\\h=306.12\ m[/tex]

So, the projectile will reach up to a height of 306.12 m.