jee_main_2025_03_april_evening - Work, Energy and Power Topics

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QUESTION #10 Collisions and Spring Potential Energy
Consider two blocks A and B of masses m_1=10mathrm~kg and m_2=5mathrm~kg that are placed on a frictionless table. The block A moves with a constant speed v=3mathrm~m/s towards the block B kept at rest. A spring with spring constant k=3000mathrm~N/m is attached with the block B as shown in the figure. {{IMG1}} After the collision, suppose that the blocks A and B, along with the spring in constant compression state, move together, then the compression in the spring is, (Neglect the mass of the spring)
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QUESTION #18 Power and Efficiency of Motor
A motor operating on 100mathrm~V draws a current of 1 A. If the efficiency of the motor is 91.6\%, then the loss of power in units of cal/s is :
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QUESTION #19 Work-Energy Theorem with Variable Force
A block of mass 1 kg, moving along x with speed v_i=10mathrm~m/s enters a rough region ranging from x=0.1mathrm~m to x=1.9mathrm~m. The retarding force acting on the block in this range is F_r=-kxmathrm~N with k=10mathrm~N/m. Then the final speed of the block as it crosses rough region is :
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)
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