A traveller pulls a suitcase on a smooth airport floor using a strap that makes an…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A traveller pulls a suitcase on a smooth airport floor using a strap that makes an angle of 25∘25^{\circ} with the horizontal. The strap exerts a constant force of 35 N35\,\text{N} on the suitcase, which moves a distance of 50 m50\,\text{m} along the floor. (i) Calculate the work done by the force exerted through the strap on the suitcase. (ii) The mass of the suitcase is 12 kg12\,\text{kg} and it starts from rest. Neglecting all other forces, determine the speed gained by the suitcase after moving 50 m50\,\text{m}. (iii) Keeping the force magnitude and displacement fixed, find the value of the angle between the strap and the direction of motion for which the work done would be zero.

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