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A man hits a golf ball (0.2kg) which accelerates at a rate of 20 m/s2. What amount of force acted on the ball? Complete the table below to show all your work.

5 answers

To calculate the force acting on the golf ball, we can use Newton's second law of motion, which states:

\[ F = m \times a \]

where:

  • \( F \) is the force,
  • \( m \) is the mass of the object, and
  • \( a \) is the acceleration of the object.

Given:

  • Mass of the golf ball, \( m = 0.2 , \text{kg} \)
  • Acceleration of the golf ball, \( a = 20 , \text{m/s}^2 \)

Calculation:

  1. Substitute the values into the formula:

    \[ F = 0.2 , \text{kg} \times 20 , \text{m/s}^2 \]

  2. Calculate the force:

    \[ F = 4 , \text{N} \]

Summary:

  • Mass of the ball (m) = 0.2 kg
  • Acceleration (a) = 20 m/s²
  • Force (F) = 4 N

Completed Table:

| Quantity | Value | Units | |---------------|------------|--------------------| | Mass (m) | 0.2 | kg | | Acceleration (a) | 20 | m/s² | | Force (F) | 4 | N |

Thus, the amount of force that acted on the ball is 4 N (Newtons).

define varibles

Sure! Here are the definitions of the variables used in the calculation of the force acting on the golf ball:

Variables Defined

  • \( F \):

    • Definition: Force
    • Unit: Newtons (N)
    • Description: The interaction that causes an object to change its velocity (accelerate). It is a vector quantity, meaning it has both magnitude and direction.

  • \( m \):

    • Definition: Mass
    • Unit: Kilograms (kg)
    • Description: A measure of the amount of matter in an object. Mass is a scalar quantity and does not change regardless of the object's location in the universe.

  • \( a \):

    • Definition: Acceleration
    • Unit: Meters per second squared (m/s²)
    • Description: The rate of change of velocity of an object. It is a vector quantity and indicates how quickly an object is speeding up or slowing down. Positive acceleration means the object is speeding up, while negative acceleration (deceleration) means it is slowing down.

These definitions clarify the meaning and significance of each variable in the context of the physics equation used to calculate force.

answer in units

Certainly! Below are the variables along with their values and corresponding units presented in a clear format.

Variables with Values and Units

| Variable | Value | Unit | Definition | |----------|--------|-------------------------|--------------------------------------------------| | \( F \) | 4 | N (Newtons) | Force exerted on the golf ball | | \( m \) | 0.2 | kg (kilograms) | Mass of the golf ball | | \( a \) | 20 | m/s² (meters per second squared) | Acceleration of the golf ball |

Thus, summarizing the result:

  • The force acting on the golf ball is 4 N (Newtons).