The kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.
To find the answer, we need to know about the expression of kinetic energy and potential energy.
<h3>
What are the expressions of kinetic energy and potential energy?</h3>
- Mathematically, kinetic energy= 1/2 × mass × velocity²
- Gravitational potential energy near the earth surface= mass × g × height on the earth surface
<h3>What's the kinetic energy, potential energy and total mechanical energy of the 78kg skydriver at 870 m on earth surface with 62 m/s velocity?</h3>
- Kinetic energy= 1/2 × 78 × 62² = 1.5 × 10⁵ Joule
- Potential energy= 78×9.8×870= 6.7× 10⁵ Joule
<h3>What's the total mechanical energy?</h3>
- Mechanical energy= kinetic energy+ potential energy
- 1.5 × 10⁵ Joule + 6.7× 10⁵ Joule = 8.2× 10⁵ Joule
Thus, we can conclude that the kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.
Learn more about the kinetic energy, potential energy and mechanical energy here:
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Use the kinematic equation,
Vf^2 = Vi^2 + 2aX
31.5^2 = 11.6^2 + 2(5.22)(x)
Solve for x
Answer: 82.2m
