An object of mass m is compressed against a horizontal and ideal spring of constant k by mount Ax. If the spring and the object are on a table at elevation H from the floor, find the elocity of the mass just before it lands on the floor.
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- An 7.6 kgkg crate is pulled 5.4 mm up a 30∘∘ incline by a rope angled 19 ∘ above the incline. The tension in the rope is 140 NN and the crate's coefficient of kinetic friction on the incline is 0.23.How much work is done by tension, by gravity, and by the normal force?What is the increase in thermal energy of the crate and incline?(2) The combined force of lift and thrust on a model airplane is a constant F = (4î + 3j + 6k) N. a. How much work is done by the force F if the displacement of the airplane is: A = (6î – 5j – 3k) m? %3D b. Will this force cause the airplane to speed up, slow down or maintain a constant speed?You stand at the top of a cliff and lower a first aid kit (attached to a rope) down the cliff to an injured hiker at a constant speed. What can you say about the work done by the rope and the work done by gravity on the kit as it is lowered? O The work done by the rope is positive and the work done by gravity is positive. The work done by the rope is negative and the work done by gravity is negative. O The work done by the rope is positive and the work done by gravity is negative. O The work done by the rope is zero and the work done by gravity is zero. O The work done by the rope is negative and the work done by gravity is positive.
- -40 A can of sardines is made to move along an x axis from F= exp(-4x), with x in meters and Fin newtons. (Here exp is the ex- ponential function.) How much work is done on the can by the force?A chain lying on the ground is 10 m long and its mass is 80 kg. One end of the chain is raised to a height of 6 m.A cyclist starts from rest and coasts down a 4.0∘ hill. The mass of the cyclist plus bicycle is 85 kg. Ignore air resistance and friction. - After the cyclist has traveled 130 m, what was the net work done by gravity on the cyclist? - How fast is the cyclist going?