A man of mass 100 kg is standing on a platform of mass 200 kg, which is kept on a smooth ice surface. If the man starts moving on the platform with a speed 30 m/sec relative to the platform, calculate with what velocity relative to the ice the platform will recoil?

An object of mass \( m \) is projected from the origin in a vertical \( xy \)-plane at an angle \( 45^\circ \) with the x-axis with an initial velocity \( v_0 \). The magnitude and direction of the angular momentum of the object with respect to the origin, when it reaches the maximum height, will be:

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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:

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A body of mass 10 kg is moving with a speed of 5 m/s. What is the momentum of the body?

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Given below are two statements:
Statement (I): Planck's constant and angular momentum have the same dimensions.
Statement (II): Linear momentum and moment of force have the same dimensions.
In the light of the above statements, choose the correct answer from the options given below:

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A man of mass 100 kg is standing on a platform of mass 200 kg, which is kept on a smooth ice surface. If the man starts moving on the platform with a speed 30 m/sec relative to the platform, calculate with what velocity relative to the ice the platform will recoil?

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The Correct Option is B

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