Question

tony hawk (mass 66 kg) rides his skateboard at a local skate park. he starts from rest at the top of the track 18 meters above the ground. (question 11 you will be answering the 3 questions in the first column for position a.) use g = 9.8 m/s/s calculate the potential energy. your answer 1 point calculate the kinetic energy. your answer 1 point calculate the mechanical energy. * your answer 1 point

Explanation:

Calculate the Potential Energy:

Step1: Recall the formula for gravitational potential energy

The formula for gravitational potential energy (PE) is $PE = mgh$, where $m$ is the mass, $g$ is the acceleration due to gravity, and $h$ is the height.

Step2: Substitute the given values

Given $m = 66\ kg$, $g = 9.8\ m/s^2$, and $h = 18\ m$. Plugging these into the formula:
$PE = 66\times9.8\times18$
First, calculate $66\times9.8 = 646.8$
Then, $646.8\times18 = 11642.4$

Step1: Recall the formula for kinetic energy

The formula for kinetic energy (KE) is $KE=\frac{1}{2}mv^2$, where $m$ is the mass and $v$ is the velocity.

Step2: Determine the velocity

Tony Hawk starts from rest, so the initial velocity $v = 0\ m/s$.

Step3: Substitute the values into the formula

Substituting $m = 66\ kg$ and $v = 0\ m/s$ into $KE=\frac{1}{2}\times66\times(0)^2$
$\frac{1}{2}\times66\times0 = 0$

Step1: Recall the definition of mechanical energy

Mechanical energy (ME) is the sum of potential energy and kinetic energy, i.e., $ME = PE + KE$.

Step2: Substitute the values of PE and KE

We found $PE = 11642.4\ J$ and $KE = 0\ J$. So, $ME=11642.4 + 0=11642.4$

Answer:

The potential energy is $11642.4\ J$ (joules).

Calculate the Kinetic Energy: