Question

all these fruits are 2 m above earths surface. use their masses to determine the gravitational energy of each fruit. gravitational energy = height × mass × 9.8 meters per second squared mass = 100 g gravitational energy = mass = 200 g gravitational energy = mass = 400 g gravitational energy =

Explanation:

Step1: Convert mass to kg

The formula for gravitational - potential energy is $E_p = mgh$, where $m$ is mass in kg, $g = 9.8\ m/s^2$ is the acceleration due to gravity, and $h$ is height in meters. For the apple with $m = 100\ g=0.1\ kg$, $h = 2\ m$, and $g = 9.8\ m/s^2$.

Step2: Calculate gravitational energy of the apple

$E_{p - apple}=mgh=0.1\times9.8\times2 = 1.96\ J$

Step3: Convert mass of orange to kg

The mass of the orange is $m = 200\ g = 0.2\ kg$, $h = 2\ m$, and $g = 9.8\ m/s^2$.

Step4: Calculate gravitational energy of the orange

$E_{p - orange}=mgh=0.2\times9.8\times2=3.92\ J$

Step5: Convert mass of banana to kg

The mass of the banana is $m = 400\ g = 0.4\ kg$, $h = 2\ m$, and $g = 9.8\ m/s^2$.

Step6: Calculate gravitational energy of the banana

$E_{p - banana}=mgh=0.4\times9.8\times2 = 7.84\ J$

Answer:

Gravitational energy of apple: $1.96\ J$
Gravitational energy of orange: $3.92\ J$
Gravitational energy of banana: $7.84\ J$