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A relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. The airplane flies horizontally with constant speed of 270mph at an altitude of 600m . The positive x and y directions are defined. For all parts, assume that the "island" refers to the point at a distance D from the point at which the package is released. Ignore the height of this point above sea level. Assume that the acceleration due to gravity is g = 9.80m/s^2. What is the speed v_f of the package when it hits the ground?
Illustrate energy bar graphs to solve the problem . What is amplitude of the oscillations.
What is an initial and final energy of the system energy? It takes .005 seconds for the bullet to embed itself into the block. What is an average impact force it experience.
A roller coaster, travelling with an initial speed of 15 meters per second, decelerates uniformly at -7 meters per second per second to a full stop. How far does the roller coaster travel throughout its deceleration.
What is the speed of the two carts at the moment while their speeds are equal.
What is final total energy of the system
Problem on the velocity of boat
A 4.00-kg mass is connected by a light cord to a 3.0 kg mass on a smooth surface. The pulley rotates about a frictionless axle and has a moment of inertia of 0.50 kg · m2.
A 54 N crate is suspended from the left end of a plank. The plank weighs 21N, but it is not uniform, so its center of gravity does not lie halfway between the two ends. The system is balanced by a support that is 0.3m from the left end of the plan..
An 8.30 kg stone at rest on a spring. The spring is compressed 11 cm by the stone. The stone is after that pushed down an additional 26.00 cm and free. To what highest height (in cm) does the stone rise from that position.
What is the value of acceleration of gravity if a pendulum has a length of 46 cm and the pendulum completes 110 full swing cycles in a time of 132 seconds.
A 38.00 kg girl is bouncing on a trampoline. All throughout a certain interval after she leaves the surface of trampoline, her kinetic energy decreases to 185J from 425J. How high does she rise all through this interval? Avoid air resistance.
If the ball is in contact with the wall for 0.200 s, what is the average force exerted by the wall on the ball? (Suppose right is the positive direction.)
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