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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?
One cubic centimeter of a cumulus contains 250 water drops, which have a typical radius of 10 μm. (a) How many cubic meters of water are in a cylindrical cumulus cloud of height 3.0 km and radius 1.1 km.
How long will it take you to cover the 99 m length of the walkway if, once you get on the walkway, you immediately turn around and start walking in the opposite direction with a speed of 1.5 m/s relative to the walkway.
orville walks 318 m due east. He then continues walking along the straight line, but in a different direction, and stops 164 m northeast of his starting point. How far did he walk during the second portion of trip and in what direction.
A steel cable with total length 59 m and mass 110 kg is connected to two poles. The tension in the cable is 1,260 N, and the wind makes the cable vibrate with a frequency of 2 Hz. Calculate the wavelength of the resulting wave on the cable
what is work done on package by friction.
Hair dryer draws a current of 9.2a. How long does it take 1.9*10^3 C of charge pass through? How many electrons does this represent.
A flywheel in a motor is spinning at 580 {rm rpm} when a power failure suddenly occurs. The flywheel has mass 40 {rm kg} and diameter 75 {rm cm}.
What is the frequency of the small axial oscillations that electron will undergo if it is released along the z-axis near the origin.
The spring stretches 5.0 cm from its previous equilibrium position toward the two spheres. Calculate the spring constant.
A speedboat starts from rest and accelerates at +2.01 m/s2 for 6.95 s. At the end of this time, the boat continues for the additional 5.70 s with an acceleration of +0.518 m/s2. Following this, the boat accelerates at -1.49 m/s2 for 8.20 s.
The atomic mass of copper is 64 g/mole, and the density of copper is 8.9 g/cm3.
A tennis ball with a speed of 13.20 m/s is moving perpendicular to a wall. After striking the wall, the ball rebounds in the opposite direction with a speed of 10.36m/s.
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