Question

1. a sumo wrestler has a wrestling match with spongebob. the sumo wrestler has a mass of 150kg and accelerates toward the midget at 5m/s2. spongebob has a mass of 30kg.

→what force of impact does the sumo wrestler have with spongebob?
→what force upon impact does spongebob have with the sumo wrestler?
→how much does spongebob accelerate due to the impact with the wrestler?

Explanation:

Step1: Calculate the force of the sumo wrestler

According to Newton's second law \(F = ma\). The mass of the sumo wrestler \(m_1=150\space kg\) and acceleration \(a = 5\space m/s^{2}\).
\(F_1=m_1a\)
\(F_1 = 150\times5=750\space N\)

Step2: Determine the force on Spongebob

According to Newton's third law, for every action, there is an equal and opposite reaction. So the force on Spongebob \(F_2\) is equal in magnitude to the force of the sumo wrestler. \(F_2 = 750\space N\)

Step3: Calculate Spongebob's acceleration

Using \(F = ma\) again. Here \(F = 750\space N\) and \(m_2 = 30\space kg\). We solve for \(a_2\):
\(a_2=\frac{F}{m_2}\)
\(a_2=\frac{750}{30}=25\space m/s^{2}\)

Answer:

• The force of impact of the sumo wrestler is \(750\space N\).
• The force upon impact of Spongebob is \(750\space N\).
• Spongebob accelerates at \(25\space m/s^{2}\).