Question

which falling object will result in the least kinetic energy when it collides with the ground? (1 point) 10 grams of dirt falling at 2 m/s 100 grams of dirt falling at 15 m/s 10 grams of water falling at 1 m/s 100 grams of water falling at 10 m/s

Explanation:

Step1: Convert mass to kg

Using \(1\space kg = 1000\space g\).
For \(10\space g\): \(m_1=\frac{10}{1000}=0.01\space kg\), \(m_3 = 0.01\space kg\).
For \(100\space g\): \(m_2=\frac{100}{1000}=0.1\space kg\), \(m_4 = 0.1\space kg\).

Step2: Calculate kinetic energy for each option

The formula for kinetic energy is \(K.E.=\frac{1}{2}mv^{2}\).

• Option 1: \(K.E._1=\frac{1}{2}\times0.01\times(2)^{2}= 0.02\space J\)
• Option 2: \(K.E._2=\frac{1}{2}\times0.1\times(15)^{2}= 11.25\space J\)
• Option 3: \(K.E._3=\frac{1}{2}\times0.01\times(1)^{2}= 0.005\space J\)
• Option 4: \(K.E._4=\frac{1}{2}\times0.1\times(10)^{2}= 5\space J\)

Answer:

10 grams of water falling at 1 m/s