Question

11 how high do you have to lift a 1 kg box of candy to give it 98 j of gpe?

Explanation:

Step1: Recall the formula for gravitational potential energy (GPE)

The formula for GPE is \(GPE = mgh\), where \(m\) is the mass, \(g\) is the acceleration due to gravity (\(g = 9.8\ m/s^{2}\)), and \(h\) is the height.

Step2: Rearrange the formula to solve for \(h\)

From \(GPE=mgh\), we can solve for \(h\) by \(h=\frac{GPE}{mg}\).

Step3: Substitute the given values into the formula

Given \(GPE = 98\ J\), \(m = 1\ kg\), and \(g=9.8\ m/s^{2}\). Then \(h=\frac{98}{1\times9.8}\).

Step4: Calculate the value of \(h\)

\(h = 10\ m\)

Answer:

\(10\ m\)