3. The third graders are on one side of a schoolyard, and thefourth graders are on the other. They are throwing snow-balls at each other. Between them, snowballs of variousmasses are moving with different velocities as shown in Fig-ure OQ5.3. Rank the snowballs (a) through (e) accordingto the magnitude of the total force exerted on each one.Ignore air resistance. If two snowballs rank together, makethat fact clear.300 g12 m/s400 g12 m/sb200 g9 m/sс10 m/sa8 m/s500 g400 gdeFigure OQ5.3

As given in question grade third and fourth are throwing snowballs on each other. Masses of each…

Answered: 3. The third graders are on one side of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Two blocks of mass m are brought close to each other with a spring (mass negligible) compressed between then. The spring has potential energy 1/2kx2, where k and x are the force constant and the compression of the spring. The system is held together by a string (mass negligible) that opposes the outward force of the spring. When the string is cut, the spring expands to to its natural length (where it stores no more potential energy), and the two blocks fly apart with total kinetic energy equal to the potential energy that had been stored in the spring. In terms of the mentioned quantities, find the mass of the system before the string was cut.
A 0.430-kg soccer ball is kicked at an initial speed of 34.0 m/s at an angle of 35 degrees to the horizontal. What is the kinetic energy at the apex of its trajectory?
Q2/ During the 2007 French Open, Venus Williams hit the fastest recorded serve in a premier women’s match, reaching a speed of 58 m/s. What is the average force exerted on the 0.057 kg tennis ball by Venus Williams’ racquet, assuming that the ball’s speed just after impact is 58 m/s, that the initial horizontal component of the velocity before impact is negligible, and that the ball remained in contact with the racquet for 5 ms?
A new design of Saturn 13 rocket with mass 1.03 x106 kg has a propulsion engine that can eject gases at a constant speed of 245.03 m/s (vGas) by burning fuel at a rate of 4.15 x10 5 kg/s (dmdT). In full tank, the rocket can carry a fuel of mass 44.46 x10 6 kg. If this design exceeds the velocity of 11,200 m/s it can can successfully escape Earth's gravity. Determine if this is so. Find its maximum velocity (velyZ). (Pitch Angle = 0)
A boy seated in a rapidly moving railroad car tosses a ball up intothe air. Will the ball come down in front of him; behind him; into his hand?What will happen when the car is accelerating in the forward direction? Goinground a curve?
An automobile moving at a constant velocity of 45 ft/s passes a gasoline station. Two seconds later, another automobileleaves the gasoline stationandaccelerates at the constant rate of 6 ft/s2. How soon will the second automobile overtake the first?
A new design of Saturn 12 rocket with mass 1.82 x10^6 kg has a propulsion engine that can eject gases at a constant speed of 219.13 m/s (vGas) by burning fuel at a rate of 3.78 x10^5 kg/s (dmdT). In full tank, the rocket can carry a fuel of mass 45.11 x10^6 kg. If this design exceeds the velocity of 11,200 m/s it can successfully escape Earth's gravity. Determine if this is so. Find its maximum velocity (velyZ) in a PhysLab virtual simulation. (Pitch Angle = 0)
Consider a ski jumper moving down a track to acquire sufficient speed to accomplish the ski jumping task. The length of the track is I = 30 m and the track makes an angle 0 = 40° with the horizontal. If the skier starts at the top of the track with zero initial speed, determine the takeoff speed, v2. of the skier at the bottom of the track using the conservation of energy principle. Assume that the effects of friction and air resistance are negligible.
A lightweight drone (1.00 kg) is launched at 800 m high and moves upward at a constant velocity (whileignoring the effects of gravity only on the drone). The balloon, when measured at a horizontal distance fromyou, is about 1600 m away from you. At the moment when the drone moves, you shoot a bullet (weight =180g) with an initial velocity of 1009 m/s at a fixed angle α, where sin α=3/5 and cos α= 4/5. (g = 9.8 m/s2) d. Provided that the collision is inelastic, calculate the speed after the collision.e. Calculate the height the two objects taken from the impact up to the maximum height before it startsfalling to the ground.
. To promote their new album, Black Pink decided to launch a satellite into orbit that will intercept all airwaves and play their songs worldwide. To do this, he needs to mount a 200 [kg] satellite onto an 850 [kg] rocket. It blasts off vertically from a launchpad with a constant net upward acceleration of 3.80 [m/s2]. When it has reached a height of 680 [m], the satellite was released, and the rocket blew up shortly after, due to a system failure. Assume that the satellite was not damaged after the explosion. (a) What is the maximum height that the satellite will reach above the launchpad? (b) How much time will elapse after system failure before the satellite comes crashing down the launch pad? (c) How fast will the satellite be moving just before it crashes?
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Air (ρ = 1.23 kg m−3 ) leaving a 3-cm-diameter pipe strikes a plate that can rotate about a pivot. The force exerted on the plate by the air jet is counteracted by a spring. When the velocity of the air jet leaving the pipe is 50 m s−1 , the plate is perfectly vertical and the spring is displaced from its equilibrium position by 2 cm. The spring is attached to the plate 1.5 cm above the pivot, and the center of the air jet strikes the plate 2 cm below the pivot. The air jet maintains a constant area between the pipe and the plate, the force exerted by the air jet is evenly distributed across its area, and the pressure inside the free air jet is equal to atmospheric pressure. Using this information, determine the spring constant.

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