Two students are trying to move a heavy desk, mass = 43 kg, across a smooth floor by applying forces F1 = 19.3 N and F2 = 14.9 N in a horizontal direction. They have put smooth cloth under the feet of the desk to stop it scratching the highly polished timber floor. Initially they apply the forces at right angles to each other. (Enter your answers in m/s2. Assume the desk moves in the xy-plane.) i. Find the acceleration of the desk. Write the acceleration as a vector. (Assume F1 lies along the positive x-axis and F2 lies in the positive y direction.) ii. Draw a force diagram iii. If they push so that the angle between the direction of the forces is 60°, what is the acceleration of the desk? (Assume F1 lies along the positive x-axis and F2 lies in the positive y direction.) iv. If the forces are parallel, what is the acceleration of the desk? (Assume F1 lies along the positive x-axis.) v. If they are anti-parallel, what is the acceleration of the desk? (Assume F1 lies along the positive x-axis.)
Two students are trying to move a heavy desk, mass = 43 kg, across a smooth floor by applying forces F1 = 19.3 N and F2 = 14.9 N in a horizontal direction. They have put smooth cloth under the feet of the desk to stop it scratching the highly polished timber floor. Initially they apply the forces at right angles to each other. (Enter your answers in m/s2. Assume the desk moves in the xy-plane.)
i. Find the acceleration of the desk. Write the acceleration as a vector. (Assume F1 lies along the positive x-axis and F2 lies in the positive y direction.)
ii. Draw a force diagram
iii. If they push so that the angle between the direction of the forces is 60°, what is the acceleration of the desk? (Assume F1 lies along the positive x-axis and F2 lies in the positive y direction.)
iv. If the forces are parallel, what is the acceleration of the desk? (Assume F1 lies along the positive x-axis.)
v. If they are anti-parallel, what is the acceleration of the desk? (Assume F1 lies along the positive x-axis.)
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