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Jack and Jill are standing on a crate at rest on the frictionless, horizontal surface of a frozen pond. Jack has a mass of 75.8kg , Jill has a mass of 45.0kg , and the crate has a mass of 15.5kg . They remember that they must fetch a pail of water, so each jumps horizontally from the top of the crate. Just after each jumps, that person is moving away from the crate with a speed of 3.70m/s relative to the crate.
A) What is the final speed of the crate if both Jack and Jill jump simultaneously and in the same direction? (Hint: Use an inertial coordinate system attached to the ground.)
B) What is the final speed of the crate if Jack jumps first and then a few seconds later Jill jumps in the same direction?
C) What is the final speed of the crate if Jill jumps first and then Jack, again in the same direction?
A spring has an unstretched length of 12cm. When an 80 g ball is hung from it, the length increases by 4.0 cm.Then the ball is pulled down another 4.0 cm and released. a) What is the spring constant? b) What is the period of the oscillation?
A jumper in the long-jump goes into the jump with a speed of 12 m/s at an angle of 20 deg. above the horizontal. How far does the jumper jump?
A 3.00-kg object is fastened to a light spring, with the intervening cord passing over a pulley. The pulley is frictionless, and its inertia may be neglected.
How much work is completed by the Moon's gravitational field as a 915kg meteor comes in from outer space and impacts on the Moon's surface.
When operated on a household 110.0-V line, typical hair dryers draw about 1550 W of power, What is the current in the dryer and What is the resistance of the dryer
Two capacitors C1 and C2 are connected in parallel to one another, Find the equivalent capacitance of the system if the C1, C2, C3 are respectively 4, 6, 3.6 uF respectively
You throw a ball straight into the air from a height of 4 feet and with a speed of 5.02 m/s, How far are you from the ball, the moment it hits the ground
A child goes down a playground slide with an acceleration of 1.20 m/s2. Compute the coefficient of kinetic friction between child and slide if the slide is inclined at an angle of 32.2° below the horizontal.
A 10 cm long thin glass rod is uniformly charged to +50 nC. A small plastic bead, charged to - 4.8 nC, is 4.2 cm from the center of the rod. What is the magnitude of the force of the bead.
Explain by how much does the potential energy of a 23.0-kg child increase when the child climbs a normal staircase to the second floor?
Compute the distance of two point's p1 and p2 in the x-y plane with the following Cartesian coordinates: p1= (-5m, +8m), p2= (+3m, +2m). Draw the position vectors into appropriate-points.
Two people stand 3 m in front of large plane mirror and space 5m a part in dark room at what angle of incidence should one of them shine a flashlight on the mirror so that reflected beam directly strickes the other person.
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