Question

the picture below shows a bowling ball and a tennis ball.
image of a bowling ball (labeled ~40 kg) and a tennis ball (labeled ~0.3 kg)
the ▼ will require ▼ to accelerate at 5 m/s than the ▼

Explanation:

To solve this, we use Newton's second law \( F = ma \), where \( F \) is force, \( m \) is mass, and \( a \) is acceleration.

Step 1: Recall Newton's Second Law

Newton's second law states that the force required to accelerate an object is directly proportional to its mass (\( F = ma \)). For a given acceleration, a larger mass requires a larger force.

Step 2: Compare Masses

• Bowling ball mass: \( 40 \, \text{kg} \)
• Tennis ball mass: \( 0.3 \, \text{kg} \)

Since \( 40 \, \text{kg} > 0.3 \, \text{kg} \), the bowling ball has a larger mass.

Step 3: Determine Force Requirement

Using \( F = ma \) with \( a = 5 \, \text{m/s}^2 \):

• Force for bowling ball: \( F_{\text{bowling}} = 40 \, \text{kg} \times 5 \, \text{m/s}^2 = 200 \, \text{N} \)
• Force for tennis ball: \( F_{\text{tennis}} = 0.3 \, \text{kg} \times 5 \, \text{m/s}^2 = 1.5 \, \text{N} \)

Thus, the bowling ball requires more force to accelerate at \( 5 \, \text{m/s}^2 \) than the tennis ball.

Answer:

The \(\boldsymbol{\text{bowling ball}}\) will require \(\boldsymbol{\text{more force}}\) to accelerate at \( 5 \, \text{m/s}^2 \) than the \(\boldsymbol{\text{tennis ball}}\).