A spherical mass hangs at the end of a string to form a pendulum. A variable tan

Question

A spherical mass hangs at the end of a string to form a pendulum. A variable tangential force P is used to raise the mass from a purely vertical position to a final angle of 53 degrees, the string is always tight during the displacement. The displacement of the mass by P begins and ends with the mass at rest, the altitude of the mass increases by an amount h during the displacement. (Given the length of the string and 6f you should be able to find h, for example, for a 10-m string and ' = 53 degrees, h = 40 cm.) Select all true statements about the forces and works during this displacement. Looking NN You must select all true statements. In the answers below, the symbols are: Wp is the work done on the mass by the pulling force P; We is the work done on the mass by the force of gravity on the mass by the Earth; is any angle between 0 and 53 degrees; P()is the magnitude of the variable force P as a function of 6; g is the acceleration due to gravity acting alone at the surface of the Earth; and m is the mass of the spherical object. NOTE: for a statement of the form f(z)-az+ b to be a true statement, it must be true for all values of z within the limits imposed by the physical situation. P(0) mgsin(0) P(0) = mgcos(0) We _mgh

Explanation / Answer

The correct options are 3, 5 & 6.

Work done by gravity will be - mgh.

As there is no change in Kinetic energy, from work energy theorem work done by all forces should be equal to zero.

So work by P is negative of work by gravity.

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