Given: Body mass \( m = 10 \, \text{kg} \) and speed \( v = 5 \, \text{m/s} \).
Step 1: Apply momentum formula Momentum \( p \) is calculated as: \[ p = m \times v \]
Step 2: Substitute values Inserting the given values: \[ p = 10 \times 5 = 50 \, \text{kg m/s} \]
Answer: The calculated momentum is 50 kg m/s, corresponding to option (1).
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Knowing the initial position \( x_0 \) and initial momentum \( p_0 \) is enough to determine the position and momentum at any time \( t \) for a simple harmonic motion with a given angular frequency \( \omega \).
Reason (R): The amplitude and phase can be expressed in terms of \( x_0 \) and \( p_0 \).
In the light of the above statements, choose the correct answer from the options given below: