A spreadsheet application is used to create a computational model of the energy experienced by a pendulum. How do the energy values of the pendulum relate?(1 point) Responses The sum of the potential energy and the kinetic energy is always 0. The sum of the potential energy and the kinetic energy is always 0. The potential energy is always greater than the kinetic energy. The potential energy is always greater than the kinetic energy. The kinetic energy is always equal to the potential energy. The kinetic energy is always equal to the potential energy. The sum of the potential energy and the kinetic energy is always constant. The sum of the potential energy and the kinetic energy is always constant.
The correct answer is:
The sum of the potential energy and the kinetic energy is always constant.
A diagram is drawn showing a swing set with a swing pulled backward prior to release. The diagram shows how the swing will move forward and then backward after it is initially released. At which point in the diagram is all of the energy gravitational potential energy?(1 point) Responses as the released swing begins moving backward as the released swing begins moving backward when the swing is pulled back prior to release when the swing is pulled back prior to release just after release of the swing just after release of the swing at the highest point as the swing moves forward
The correct answer is:
At the highest point as the swing moves forward.
In 1–2 sentences, describe how a student could use collaborative learning to investigate potential energy.(2 points)
A student could use collaborative learning by working with their peers to conduct experiments, gather data, and analyze results to investigate the factors that affect potential energy, such as height, mass, and gravitational acceleration, and discuss their findings together to deepen their understanding of potential energy.
A 65 kg diver stands still on a tower, 10.0 m above the water. (a) Calculate the gravitational potential energy of the diver, relative to the height of the water. Assume the gravitational field constant is 9.8 N/kg (b) The diver reaches the surface of the water at a speed of 14 m/s . Calculate the diver’s kinetic energy. (c) Compare your answers to (a) and (b). Explain your comparison using concepts learned in this course. Assume there is no air resistance during the dive. (d) Calculate the speed of the diver 5.0 m above the water. (4 points)
(a) To calculate the gravitational potential energy of the diver, we can use the formula: Gravitational Potential Energy (GPE) = mass * gravitational field constant * height. Plugging in the values, we get: GPE = 65 kg * 9.8 N/kg * 10.0 m = 6370 J.
(b) To calculate the diver's kinetic energy, we can use the formula: Kinetic Energy (KE) = 1/2 * mass * velocity^2. Plugging in the values, we get: KE = 1/2 * 65 kg * (14 m/s)^2 = 6370 J.
(c) The answers to (a) and (b) are equal, both being 6370 J. This is because energy is conserved in the absence of external forces, such as air resistance. The gravitational potential energy is converted into kinetic energy as the diver falls, so the sum of their energies remains constant.
(d) To calculate the speed of the diver 5.0 m above the water, we can use the equation: KE initial + GPE initial = KE final + GPE final. Plugging in the known values, we get: 6370 J + 65 kg * 9.8 N/kg * 5.0 m = 1/2 * 65 kg * v^2. Solving for v, we find the speed of the diver to be approximately 10.4 m/s.