Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

an object with a mass of 5 kg is thrown with an initial velocity of 6 m…

Question

an object with a mass of 5 kg is thrown with an initial velocity of 6 m/s. if the object has an initial height of 10 meters above the ground, what is the magnitude of the initial gravitational potential energy of the object? the acceleration due to gravity is 9.8 m/s². (1 point)

90 joules

400 joules

580 joules

490 joules

Explanation:

Step1: Identify the formula

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

Step2: Substitute the values

Given $m = 5\ kg$, $g=9.8\ m/s^{2}$, and $h = 10\ m$. Substitute into the formula: $U=5\times9.8\times10$.

Step3: Calculate the result

$U = 490\ J$.

Answer:

490 joules