Question

1. based on the images below, what is the mass of the flowerpot? (masses are labeled in kilograms.)

less than 4 kg
between 4 kg and 5 kg
exactly 4.5 kg
more than 5 kg

Explanation:

Step1: Analyze the first balance

The first balance has a 5 kg weight on one side and the flowerpot on the other. The side with the flowerpot is lower, so the flowerpot's mass \( m > 5 \) kg? Wait, no, wait. Wait, the second balance: the flowerpot is on one side, and four 1-kg weights (total 4 kg) on the other. The flowerpot's side is lower, so \( m > 4 \) kg. From the first balance, the 5-kg weight's side is higher? Wait, no, looking at the images: first image: top balance, left has 5 kg, right has flowerpot. The right side (flowerpot) is lower, so flowerpot > 5 kg? No, wait the second image: bottom balance, left has flowerpot, right has four 1-kg weights (4 kg total). The left side (flowerpot) is lower, so flowerpot > 4 kg. Wait, maybe I misread. Wait the first balance: 5 kg on left, flowerpot on right. The right side is lower, so flowerpot > 5 kg? But the second balance: flowerpot on left, four 1-kg (4 kg) on right. Left side is lower, so flowerpot > 4 kg. Wait, but the options: "less than 4 kg" (no, since flowerpot >4), "between 4 and 5" (if flowerpot <5 and >4), "exactly 4.5" (not sure), "more than 5". Wait, maybe the first balance: 5 kg on left, flowerpot on right. The left side (5 kg) is higher, so flowerpot >5 kg? Wait the image: first balance, the beam: left (5 kg) is up, right (flowerpot) is down. So flowerpot is heavier than 5 kg? But second balance: flowerpot on left, four 1-kg (4 kg) on right. Left is down, so flowerpot >4 kg. But the options: "more than 5 kg" is an option. Wait maybe I messed up. Wait the first balance: 5 kg on left, flowerpot on right. The right side is lower, so flowerpot mass > 5 kg? Then the second balance: flowerpot on left, four 1-kg (4 kg) on right. Left is lower, so flowerpot >4 kg. But the options: "more than 5 kg" is a choice. Wait maybe the first balance: 5 kg on left, flowerpot on right. The left side (5 kg) is higher, meaning flowerpot is heavier than 5 kg (since the side with heavier mass goes down). Then the second balance: flowerpot on left, four 1-kg (4 kg) on right. Left is down, so flowerpot >4 kg. But the key is comparing with 4 and 5. Wait, maybe the first balance: 5 kg is on the left, flowerpot on the right. The right side is lower, so flowerpot >5 kg. The second balance: flowerpot on left, four 1-kg (4 kg) on right. Left is lower, so flowerpot >4 kg. So the flowerpot's mass is more than 5 kg? Wait the options: "less than 4 kg" (no), "between 4 and 5" (if <5 and >4), "exactly 4.5" (no), "more than 5" (yes, if flowerpot >5). Wait maybe I misinterpreted the first balance. Let's re-express:

First balance: Left: 5 kg, Right: flowerpot. The right side is lower (heavier), so flowerpot mass \( m > 5 \) kg.

Second balance: Left: flowerpot, Right: 4 kg (four 1-kg weights). The left side is lower (heavier), so \( m > 4 \) kg. But since from first balance \( m > 5 \), then \( m \) is more than 5 kg.

Step2: Evaluate options

• "less than 4 kg": No, because \( m > 4 \) (from second balance).
• "between 4 kg and 5 kg": No, because \( m > 5 \) (from first balance).
• "exactly 4.5 kg": No, since \( m > 5 \).
• "more than 5 kg": Yes, because \( m > 5 \) (from first balance).

Answer:

more than 5 kg