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I need help on question d? 

**Problem 2.4:**

Given the vectors and values:
- \(\vec{A} = 42 \, \text{m/s} \, \hat{x} - 27 \, \text{m/s} \, \hat{y}\),
- \(\vec{B} = 24 \, \text{kg m/s} \, @ \, 115^\circ\),
- \(m_1 = 1.5 \, \text{kg}\).

**Questions:**

(a) Calculate the magnitude and direction of the velocity \(\vec{A}\).

(b) Calculate the \(x\) and \(y\) components of the momentum \(\vec{B}\).

(c) Express \(m_1 \vec{A} + \vec{B}\) in two ways: as components and as a magnitude and a direction.

(d) If an object with mass \(m_1\) has velocity \(\vec{A}\) just before colliding with another object that has momentum \(\vec{B}\) and both objects stick together, what direction will they be going just after the collision?
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Transcribed Image Text:**Problem 2.4:** Given the vectors and values: - \(\vec{A} = 42 \, \text{m/s} \, \hat{x} - 27 \, \text{m/s} \, \hat{y}\), - \(\vec{B} = 24 \, \text{kg m/s} \, @ \, 115^\circ\), - \(m_1 = 1.5 \, \text{kg}\). **Questions:** (a) Calculate the magnitude and direction of the velocity \(\vec{A}\). (b) Calculate the \(x\) and \(y\) components of the momentum \(\vec{B}\). (c) Express \(m_1 \vec{A} + \vec{B}\) in two ways: as components and as a magnitude and a direction. (d) If an object with mass \(m_1\) has velocity \(\vec{A}\) just before colliding with another object that has momentum \(\vec{B}\) and both objects stick together, what direction will they be going just after the collision?
Expert Solution
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Step 1: Message regarding multiple sub-parts question.

Since you have posted a question with multiple subpart I will solve the only option D as desired by you. 

The desired solution was at the step 8 onwards. 

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