A 25.0-kg dog is trapped on a rock in the middle of a narrow river. A 66.0-kg rescuer has assembled a swing with negligible mass that she will use to swing down and catch the trapped dog at the bottom of her swing, and then continue swinging to the other side of the river. The ledge that the rescuer swings from is 5.0 m above the rock, which is not high enough so the rescuer and dog together can reach the other side of the river, which is 3.0 m above the rock. However, the rescuer can use a ladder to increase the height from which she swings. What is the minimum height of the ladder the rescuer must use so both dog and rescuer make it to the other side of the river? Assume that friction and air resistance are negligible.

Q: mass m1 = 8.00 kg is in equilibrium while connected to a light spring of constant k = 155 N/m, as…

A: Given  m1 = 8 kg  m2 = 6 kg  Spring constant k = 155 N/m  Compression in spring A = 0.15 m

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Q: 1. A 0.420-kg block of wood hangs from the ceiling by a string, and a 0.0750-kg wad of putty is…

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A: Mass of pendulum, m1=2.00 kgAngle with the vertical, θ=50.0°Length of cable, L=1.20 mMass of block,…

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Q: A0.62 kg mass is held against the a compressed spring and released from rest. The linear spring is…

A: Here,

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Helmholtz Free Energy

The Helmholtz free energy is a thermodynamic potential used to calculate the measure of useful work from a closed system. This system is kept at constant temperature and volume. German physicist Hermann Helmholtz introduced this concept in 1882.