To solve this problem, we need to use the principle of conservation of energy. The work done on the chainsaw by the tension in the rope is converted into kinetic energy and gravitational potential energy.

First, let's calculate the work done on the chainsaw. Work is defined as force times distance. In this case, the force is the tension in the rope, which is 129 N. We don't know the distance yet, so let's call it h (for height). So, the work done is 129h.

This work is converted into kinetic energy and potential energy. The kinetic energy of the chainsaw is given by the formula 1/2 * mass * velocity^2. Substituting the given values, we get 1/2 * 9.90 kg * (9.80 m/s)^2 = 480.21 J.

The potential energy of the chainsaw is given by the formula mass * gravity * height. Substituting the given values, we get 9.90 kg * 9.8 m/s^2 * h = 97.02h J.

According to the principle of conservation of energy, the work done on the chainsaw is equal to the sum of the kinetic and potential energy. So, we can set up the following equation:

129h = 480.21 + 97.02h

Solving this equation for h, we get h = 480.21 / (129 - 97.02) = 14.9 m.

So, the height of the chainsaw when it is moving upwards at 9.80 m/s is 14.9 m.

Question

To solve this problem, we need to use the principle of conservation of energy. The work done on the chainsaw by the tension in the rope is converted into kinetic energy and gravitational potential energy.

First, let's calculate the work done on the chainsaw. Work is defined as force times distance. In this case, the force is the tension in the rope, which is 129 N. We don't know the distance yet, so let's call it h (for height). So, the work done is 129h.

This work is converted into kinetic energy and potential energy. The kinetic energy of the chainsaw is given by the formula 1/2 * mass * velocity^2. Substituting the given values, we get 1/2 * 9.90 kg * (9.80 m/s)^2 = 480.21 J.

The potential energy of the chainsaw is given by the formula mass * gravity * height. Substituting the given values, we get 9.90 kg * 9.8 m/s^2 * h = 97.02h J.

According to the principle of conservation of energy, the work done on the chainsaw is equal to the sum of the kinetic and potential energy. So, we can set up the following equation:

129h = 480.21 + 97.02h

Solving this equation for h, we get h = 480.21 / (129 - 97.02) = 14.9 m.

So, the height of the chainsaw when it is moving upwards at 9.80 m/s is 14.9 m.

Knowee AI · Accepted Answer

To solve this problem, we need to use the principle of conservation of energy. The work done on the chainsaw by the tension in the rope is converted into kinetic energy and gravitational potential energy.

First, let's calculate the work done on the chainsaw. Work is defined as force times distance. In this case, the force is the tension in the rope, which is 129 N. We don't know the distance yet, so let's call it h (for height). So, the work done is 129h.

This work is converted into kinetic energy and potential energy. The kinetic energy of the chainsaw is given by the formula 1/2 * mass * velocity^2. Substituting the given values, we get 1/2 * 9.90 kg * (9.80 m/s)^2 = 480.21 J.

The potential energy of the chainsaw is given by the formula mass * gravity * height. Substituting the given values, we get 9.90 kg * 9.8 m/s^2 * h = 97.02h J.

According to the principle of conservation of energy, the work done on the chainsaw is equal to the sum of the kinetic and potential energy. So, we can set up the following equation:

129h = 480.21 + 97.02h

Solving this equation for h, we get h = 480.21 / (129 - 97.02) = 14.9 m.

So, the height of the chainsaw when it is moving upwards at 9.80 m/s is 14.9 m.

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