7. A 10 N coconut is hanging 3 m above the ground in a tree. A 7.5 N coconut is hanging 4 m above the ground in the same tree . What is the difference between their gravitational potential

The gravitational potential energy of an object is given by the formula:<br /><br />\[ U = mgh \]<br /><br />where:<br />- \( U \) is the gravitational potential energy,<br />- \( m \) is the mass of the object,<br />- \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \) on Earth),<br />- \( h \) is the height above the ground.<br /><br />For the 10 N coconut hanging 3 m above the ground:<br /><br />\[ U_1 = 10 \, \text{N} \times 3 \, \text{m} = 30 \, \text{J} \]<br /><br />For the 7.5 N coconut hanging 4 m above the ground:<br /><br />\[ U_2 = 7.5 \, \text{N} \times 4 \, \text{m} = 30 \, \text{J} \]<br /><br />The difference in their gravitational potential energies is:<br /><br />\[ \Delta U = U_1 - U_2 = 30 \, \text{J} - 30 \, \text{J} = 0 \, \text{J} \]<br /><br />So, the difference in their gravitational potential energies is \( 0 \, \text{J} \).