Math Problem Statement

Solve for the missing big

Solve for the missing big

Solution

To solve for the missing values in the table, let’s calculate the weight (N) and the normal force (N) step-by-step using the provided data.

Given:

  1. Mass (g): 1008 g
  2. Mass (kg): 1.008kg1.008 \, \text{kg} (conversion already done).
  3. Acceleration due to gravity (gg): 9.8m/s29.8 \, \text{m/s}^2

Step 1: Calculate the Weight (N)

The formula for weight is:

Weight (N)=Mass (kg)×g\text{Weight (N)} = \text{Mass (kg)} \times g

Substituting the values: Weight (N)=1.008kg×9.8m/s2=9.8784N\text{Weight (N)} = 1.008 \, \text{kg} \times 9.8 \, \text{m/s}^2 = 9.8784 \, \text{N}

So, the weight is approximately: 9.88N\boxed{9.88 \, \text{N}}


Step 2: Normal Force (N)

In most cases (on a flat horizontal surface with no additional vertical forces), the normal force equals the weight, since the surface must support the full weight of the object to keep it stationary. Therefore:

Normal Force (N)=Weight (N)=9.88N\text{Normal Force (N)} = \text{Weight (N)} = 9.88 \, \text{N}

So, the normal force is: 9.88N\boxed{9.88 \, \text{N}}


Final Table:

Mass (g)Mass (kg)Weight (N)Normal Force (N)
10081.0089.889.88

Would you like a detailed explanation of any step?


5 Related Questions:

  1. What is the relationship between weight and mass?
  2. How is the normal force affected on an inclined plane?
  3. If gravity changes (e.g., on another planet), how would weight be calculated?
  4. How do we convert grams to kilograms in general?
  5. Why is the normal force not always equal to the weight?

Tip:

Always ensure units are consistent when solving physics problems to avoid calculation errors. For example, convert grams to kilograms before applying formulas.

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Math Problem Analysis

Mathematical Concepts

Physics
Weight and Mass Relationship
Normal Force

Formulas

Weight (N) = Mass (kg) × Acceleration due to gravity (g)
Normal Force (N) = Weight (N)

Theorems

Newton's Second Law of Motion

Suitable Grade Level

Grades 9-12