A 0.5 kg soccer ball is kicked, resulting in a change in velocity from 0 m/s to

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Question: A 0.5 kg soccer ball is kicked, resulting in a change in velocity from 0 m/s to 10 m/s. What is the impulse given to the ball?

Options:

Correct Answer: 5 Ns

Solution:

Impulse (J) = mass (m) × change in velocity (Δv) = 0.5 kg × (10 m/s - 0 m/s) = 5 Ns.

A 0.5 kg soccer ball is kicked, resulting in a change in velocity from 0 m/s to 10 m/s. What is the impulse given to the ball?

A 0.5 kg soccer ball is kicked, resulting in a change in velocity from 0 m/s to 10 m/s. What is the impulse given to the ball?

Step 1: Identify the mass of the soccer ball. The mass (m) is given as 0.5 kg.
Step 2: Determine the initial velocity of the soccer ball. The initial velocity is 0 m/s.
Step 3: Determine the final velocity of the soccer ball. The final velocity is 10 m/s.
Step 4: Calculate the change in velocity (Δv) by subtracting the initial velocity from the final velocity: Δv = final velocity - initial velocity = 10 m/s - 0 m/s.
Step 5: Perform the calculation for Δv: Δv = 10 m/s.
Step 6: Use the impulse formula: Impulse (J) = mass (m) × change in velocity (Δv).
Step 7: Substitute the values into the formula: J = 0.5 kg × 10 m/s.
Step 8: Calculate the impulse: J = 5 Ns.

Impulse – Impulse is the product of the force applied to an object and the time duration over which it is applied, which results in a change in momentum.
Change in Velocity – The change in velocity is the difference between the final and initial velocities of an object, which is crucial for calculating impulse.
Mass – The mass of an object is a measure of the amount of matter it contains, which is used in the impulse calculation.