Calculate the height of an object that has a mass of 01 kg and a Potential Energy of 5 J. Calcula la altura de un objeto que tiene una masa de 0 ,1 kg y una energia potencial de 5 J. 0.5 m 500 m 50 m 5 m

To calculate the height of an object given its mass and potential energy, we can use the formula for gravitational potential energy:<br /><br />\[ PE = m \cdot g \cdot h \]<br /><br />where:<br />- \( PE \) is the potential energy (in joules),<br />- \( m \) is the mass (in kilograms),<br />- \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \) on Earth),<br />- \( h \) is the height (in meters).<br /><br />Given:<br />- \( PE = 5 \, \text{J} \)<br />- \( m = 0.1 \, \text{kg} \)<br /><br />We need to solve for \( h \):<br /><br />\[ 5 = 0.1 \cdot 9.8 \cdot h \]<br /><br />First, calculate \( 0.1 \cdot 9.8 \):<br /><br />\[ 0.1 \cdot 9.8 = 0.98 \]<br /><br />Now substitute back into the equation:<br /><br />\[ 5 = 0.98 \cdot h \]<br /><br />Solve for \( h \):<br /><br />\[ h = \frac{5}{0.98} \]<br /><br />\[ h \approx 5.10 \, \text{m} \]<br /><br />Therefore, the height of the object is approximately \( 5 \, \text{m} \). The closest answer choice is \( 5 \, \text{m} \).