High School

Big Jess applied a 500 N force to the right, while JJ, Jimbo, and James applied a 300 N force to the left. JJ's mass is 60 kg, Jimbo's mass is 70 kg, and James' mass is 112 kg.

Calculate the net force and the resulting acceleration of the group.

Answer :

Certainly! Let's go through the scenario step by step.

1. Understand the Forces:
- Big Jess applies a force of 500 Newtons (N) to the right.
- JJ, Jimbo, and James together apply a force of 300 Newtons (N) to the left.

2. Calculate the Net Force:
- To find the net force, you need to consider the difference between the forces applied in opposite directions. Since 500 N is to the right and 300 N is to the left, the net force is calculated as follows:
- Net Force = Force by Big Jess - Force by JJ, Jimbo, and James
- Net Force = 500 N - 300 N = 200 N
- So, the net force acting in the system is 200 N to the right.

3. Calculate the Total Mass:
- Add the masses of JJ, Jimbo, and James to find the total mass:
- JJ's mass = 60 kg
- Jimbo's mass = 70 kg
- James' mass = 112 kg
- Total Mass = JJ's mass + Jimbo's mass + James' mass
- Total Mass = 60 kg + 70 kg + 112 kg = 242 kg

The results are as follows:
- The force applied by Big Jess is 500 N to the right.
- The combined force applied by JJ, Jimbo, and James is 300 N to the left.
- The net force on the system is 200 N to the right.
- The total mass of JJ, Jimbo, and James is 242 kg.

These calculations help us understand how much net force is influencing the system and the total mass of the individuals involved.

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