Question

rank these three objects in increasing order of potential energy, beginning with the smallest.
object a
m = 5.0 kg
v = 4.0 m/s
h = 2.0 m
object b
m = 10.0 kg
v = 2.0 m/s
h = 3.00 m
object c
m = 1.0 kg
v = 5.0 m/s
h = 5.0 m
b, a, c
a, b, c
c, a, b
a, c, b

Explanation:

Step1: Calculate potential energy for Object A

The formula for gravitational potential energy is \(U = mgh\) (where \(g = 9.8\ m/s^{2}\)). For Object A, \(m = 5.0\ kg\), \(h=2.0\ m\). So \(U_A=m_Agh_A=5.0\times9.8\times2.0 = 98\ J\)

Step2: Calculate potential energy for Object B

For Object B, \(m = 10.0\ kg\), \(h = 3.00\ m\). So \(U_B=m_Bgh_B=10.0\times9.8\times3.00=294\ J\)

Step3: Calculate potential energy for Object C

For Object C, \(m = 1.0\ kg\), \(h = 5.0\ m\). So \(U_C=m_Cgh_C=1.0\times9.8\times5.0 = 49\ J\)

Answer:

C, A, B