Question

janet and her volleyball team are entering the gym for practice. some other students were shooting baskets while the gym was empty, and as they were leaving they jokingly mimed hitting the basketball as if they were spiking a volleyball. janet informed them that it would be a bad idea to do that because the basketball would hurt more to play with. why is that the case? the basketball is the same size and weight as a volleyball so it will travel with more force the basketball is bigger and heavier than the volleyball so it will travel with more force the basketball is bigger but lighter than the volleyball so it will travel with more force the basketball is smaller and lighter than the volleyball so it will travel with more force

Explanation:

Step1: Analyze the properties of basketball and volleyball

Basketball is bigger and heavier than volleyball. According to Newton's second law \(F = ma\) (where \(F\) is force, \(m\) is mass, and \(a\) is acceleration). When a force is applied (such as hitting), for a given acceleration (assuming similar hitting actions), the basketball with a larger mass (\(m\)) will have a larger force (\(F\)) acting on it. And according to Newton's third law (action - reaction), when the ball is hit, the force exerted on the hitter (e.g., the pain or potential injury) is related to the force of the ball. A ball with a larger mass (basketball) will exert a larger force on the hitter when hit with a similar action compared to a volleyball.

Step2: Evaluate each option

• Option 1: If the basketball is the same size and weight as a volleyball, then by \(F = ma\), the force would be similar. But we know basketball is heavier, so this option is wrong.
• Option 2: Basketball is bigger and heavier. Using \(F = ma\), for a given acceleration (hitting action), a larger \(m\) (mass of basketball) means a larger \(F\) (force). When the ball is hit, the reaction force (which can cause hurt) is larger. This option is correct.
• Option 3: If the basketball is bigger but lighter, by \(F = ma\), it may not have a larger force than volleyball. But in reality, basketball is heavier, so this option is wrong.
• Option 4: Basketball is not smaller and lighter than volleyball. Volleyball is generally smaller and lighter. So this option is wrong.

Answer:

The basketball is bigger and heavier than the volleyball so it will travel with more force.