Question

Шарик массой m висит на нити длиной l.Какую максимальную кинетическую энергию приобретёт шарик,если его отклонить на угол α и опустить.

Answer 1

Ek=m*g*L* (1-cosa)
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Answer 2

Calculation of Maximum Kinetic Energy

To calculate the maximum kinetic energy acquired by the ball when it is deflected at an angle α and released, we need to consider the conservation of mechanical energy.

The mechanical energy of the system is conserved, which means that the initial potential energy of the ball is converted into kinetic energy as it swings back and forth.

The potential energy of the ball at its maximum height is given by the formula:

Potential Energy (PE) = m * g * h

where: - m is the mass of the ball - g is the acceleration due to gravity (approximately 9.8 m/s^2) - h is the maximum height reached by the ball

The maximum height reached by the ball can be calculated using the formula:

h = l * (1 - cos(α))

where: - l is the length of the string - α is the angle of deflection

The maximum kinetic energy acquired by the ball is equal to the initial potential energy, as there is no energy loss due to friction or other factors.

Therefore, the maximum kinetic energy (KE) can be calculated as:

Kinetic Energy (KE) = Potential Energy (PE)

Substituting the values into the equations, we can calculate the maximum kinetic energy acquired by the ball.

Please provide the values of the mass of the ball (m), the length of the string (l), and the angle of deflection (α) to proceed with the calculation.