The mechanical energy of the ball is 397 J
Explanation:
The total mechanical energy of the ball is the sum of its gravitational potential energy (U) and its kinetic energy (K):
E = U + K
where:
- The potential energy is:
[tex]U=mgh[/tex]
where
m = 5 kg is the mass of the ball
[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity
h = 3 m is the heigth of the ball above the ground
Substituting
[tex]U=(5)(9.8)(3)=147 J[/tex]
- The kinetic energy is:
[tex]K=\frac{1}{2}mv^2[/tex]
where
m = 5 kg is the mass
v = 10 m/s is the velocity of the ball
Substituting,
[tex]K=\frac{1}{2}(5)(10)^2=250 J[/tex]
Therefore, the total amount of energy of the ball is
[tex]E=147 J + 250 J = 397 J[/tex]
Learn more about potential energy and kinetic energy:
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