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qwelly [4]
3 years ago
11

A 12-kg projectile is launched with an initial vertical speed of 20 m/s. It rises to a maximum height of 18 m above the launch p

oint. What is the change in mechanical energy caused by the dissipative (air) resistive force on the projectile during this ascent
Physics
1 answer:
kirill115 [55]3 years ago
8 0

Answer:

Change in mechanical energy, \Delta E=283.2\ J

Explanation:

It is given that,

Mass of the projectile, m = 12 kg

Speed of the projectile, v = 20 m/s

Maximum height, h = 18 m

Initially, the projectile have only kinetic energy. it is given by :

K=\dfrac{1}{2}mv^2

K=\dfrac{1}{2}\times 12\ kg\times (20\ m/s)^2

K = 2400 J

Finally, it have only potential energy. it is given by :

P = mgh

P=12\ kg\times 9.8\ m/s^2\times 18\ m

P =2116.8 J

The change in mechanical energy is given by :

\Delta E=K-P

\Delta E=2400-2116.8

\Delta E=283.2\ J

So, the change in mechanical energy is 283.2 J. Hence, this is the required solution.

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