6. A train moving at uniform speed takes 20 secs. to pass a cyclist riding at \( 11 \mathrm{~km} / \mathrm{hr} \) in the same direction as train but takes only 9 secs. to pass a post. What is the length of the train? \( \begin{array}{llll}\text { 1) } 50 \mathrm{~m} & \text { 2) } 60 \mathrm{~m} & \text { 3) } 70 \mathrm{~m} & \text { 4) } 80 \mathrm{~m}\end{array} \)

Q5. A charged particle with charge \( q \) enters a region of constant, uniform and mutually orthogonal fields \( \vec{E} \) and \( \vec{B} \) with a velocity \( \bar{v} \) perpendicular to both \( \vec{E} \) and \( \vec{B} \) and comes out without any charge in magnitude or directionof. Then (here \( \vec{E} \) is electric field and \( \vec{B} \) is magnetic field) இன்றுக்கொன்று செங்குத்தான,சாரா, மாறாத \( \vec{E} \) என்ற மின்புலம் மற்றும் \( \vec{B} \) என்ற காந்தப்புலத்தனன் வழியே \( q \) மின்னூட்டம் கொண்ட இரு துகளானது அதன் திசைவேகத்தின் எண் மதப்பு மற்றும் திசையில் எந்த மாற்றமும் இன்றி நுழைந்து வெளி வருகிறது எனில் பின்வருவனவற்றுள் எது சரி? \( \begin{array}{ll}\text { A. } \vec{B} \times \vec{E}=|\vec{E}|^{2} \vec{v} & \text { B. } \vec{E} \times \vec{B}=|\vec{B}|^{2} \vec{v} \\ \text { C. } \vec{B} \times \vec{E}=|\vec{B}|^{2} \vec{v} & \text { D. } \vec{E} \times \vec{B}=|\vec{E}|^{2} \vec{v}\end{array} \)

3.33 • Uma canoa tem velocidade de \( 0,40 \mathrm{~m} / \mathrm{s} \) a sudeste em relação à Terra. A canoa se desloca em um rio que escoa a \( 0,50 \mathrm{~m} / \mathrm{s} \) para leste em relação à Terra. Determine o módulo, a direção e o sentido da velocidade da canoa em relação ao rio.

Describe the law of conservation of momentum as it pertains to a real-life scenario, and explain how it applies. Begin by identifying the real-life scenario. You may start your response with: - A real-life scenario pertaining to conservation of momentum is ... - In this scenario, the law of conservation of energy applies because . . .

Example 10 Three coplanar forces of magnitudes \( F, 5,3 \) Newton act on a particle and the measure of the angle between the second the third force is \( 60^{\circ} \). Find the value of \( F \) if the forces are in equilibrium.

27. Two trains, 1 and 2 , have an equal mass of \( m=5,000 \mathrm{~kg} \) each. Train 1 is traveling with a speed \( n=15 \mathrm{~m} / \mathrm{s} \) before striking train 2 , which was at rest. If the two trains lock together as the result of the collision. What is their common speed immediately after collision?