11.1. Gravitational Field Strength

• What is a gravitational field?

  Region of space with gravity
• The Earth's gravitational field strength is strong and its field lines are oriented radially inward.
• Gravitational field strength is a vector quantity that measures the force per unit mass
• What law describes how gravitational field strength changes with distance?

  Inverse square law
• Match the location with its gravitational field strength:

  Earth's surface ↔️ 9.81 N/kg

  Geostationary orbit ↔️ 0.23 N/kg
• Gravitational field strength increases with increasing distance from Earth's center.

  False
• The formula for gravitational field strength due to a point mass is GM/r^2
• What is the value of the gravitational constant G?

  $6.674 \times 10^{ - 11} Nm^{2} / kg^{2}$
• What is the gravitational field strength 100 km above Earth's surface?

  9.51 N/kg
• Gravitational field strength is directly proportional to mass and inversely proportional to the square of distance.
• The strength of a gravitational field is measured by the force per unit mass
• Match the location with its gravitational field strength:

  Earth's surface ↔️ 9.81 N/kg

  Geostationary orbit ↔️ 0.23 N/kg
• Gravitational field strength follows the inverse square law.
• The gravitational field strength due to a point mass is defined as the force per unit mass
• What is the definition of gravitational field strength (g)?

  Force per unit mass
• Gravitational field strength is a vector quantity.
• Gravitational field strength increases with distance from the Earth's center.

  False
• What is the formula for gravitational field strength (g) due to a point mass?

  $g =$$\frac{GM}{r^{2}}$
• In the formula for gravitational field strength, \( G \) is the gravitational constant.
• What does \( M \) represent in the formula for gravitational field strength?

  Mass of the object
• Match the distance from Earth's center with the corresponding gravitational field strength:

  Earth's surface (6,371 km) ↔️ 9.81 N/kg

  100 km above Earth (6,471 km) ↔️ 9.51 N/kg
• Gravitational field strength is inversely proportional to the square of the distance.
• What is the gravitational field strength (g) due to a spherical mass at a distance \( r \)?

  $g =$$\frac{GM}{r^{2}}$
• In the formula for gravitational field strength, \( G \) has a value of 6.674 × 10^-11 Nm²/kg².
• The gravitational field strength at geostationary orbit is 0.23 N/kg.
• What is the unit of gravitational field strength (g)?

  N/kg
• The gravitational constant \( G \) has the unit Nm²/kg².
• Match the location with its gravitational field strength:

  Earth's surface ↔️ 9.81 N/kg

  100 km above Earth ↔️ 9.51 N/kg
• Understanding how \(g\) varies with distance and mass is crucial in gravitational field calculations.