Problemas
he kinetic energy P Use Mathematics A shopping cart is pushed and rel entually it slows to a stop.If the velocity of the 28-kg ease is 3.5m/s and it travels a distance of 6.0 meters pping determine the magnitude of the friction on th
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Aldana
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To determine the magnitude of the friction on the shopping cart, we can use the work-energy theorem. The work done by the friction force will be equal to the change in kinetic energy of the shopping cart.Given information:- Mass of the shopping cart (m) = 28 kg- Initial velocity (v_i) = 3.5 m/s- Final velocity (v_f) = 0 m/s (since the cart comes to a stop)- Distance traveled (d) = 6.0 metersStep 1: Calculate the initial kinetic energy of the shopping cart.Kinetic energy (KE) = (1/2) * m * v_i^2KE = (1/2) * 28 kg * (3.5 m/s)^2KE = 245 JStep 2: Calculate the change in kinetic energy.Change in kinetic energy = Final kinetic energy - Initial kinetic energyChange in kinetic energy = 0 J - 245 J = -245 JStep 3: Calculate the work done by the friction force.Work done by friction = Change in kinetic energyWork done by friction = -245 JStep 4: Calculate the magnitude of the friction force.Work done by friction = Force of friction * Distance traveled-245 J = Force of friction * 6.0 mForce of friction = -245 J / 6.0 mForce of friction = -40.83 NThe negative sign indicates that the friction force is acting in the opposite direction to the motion of the shopping cart. Therefore, the magnitude of the friction force is 40.83 N.