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1- A criminal is escaping across a rooftop and runs off the roof horizontally at a speed of 5.7 m/s, hoping to land on the roof of an adjacent building. Air resistance is negligible. The horizontal distance between the two buildings is D, and the roof of the adjacent building is 2.0 m below the jumping-off point. Find the maximum value for D.
2- A rifle is used to shoot twice at a target, using identical cartridges. The first time, the rifle is aimed parallel to the ground and directly at the center of the bull's eye. The bullet strikes the target at a distance of HA below the center, however. The second time, the rifle is similarly aimed, but from 4.5 times the distance from the target. This time the bullet strikes the target a distance of HB below the center. Find the ratio of HB/HA.
3- In a marathon race, Chad is out in front, running due north at a speed of 3.95 m/s. John is 92 m behind him, running due north at a speed of 4.53 m/s. How long does it take for John to pass Chad?
Two 10 cm long thin glass rods uniformly charged to + 10;{rm nC} are placed side by side, 4cm apart. What are the electric field strengths E_1, E_2, and E_3 at distances 1.0 cm, 2cm, and 3cm to the right of the rod on the left, along line connecti..
A 15 kg box is being pushed across the floor at 1.7 m/s to the right. When the pushing force is removed, find the frictional force exerted on the box by the floor
Electrons are accelerated from rest through a potential difference of 350 V and then enter a uniform magnetic field that is perpendicular to the velocity of the electrons. Estimate the period of this circular path
Illustrate what is the magnitude of the net gravitational force on the mass at the origin due to the other two masses?
the elimination of the Linens Department will result in a 10% decrease in the sales of the Hardware Department. If the Linens Department is dropped, illustrate what will be the effect on the net operating income of the company as a whole?
In a hydraulic system a boy of mass m is standing on one of the movable positions that is a disc of radius R, what is the pressure in the hydraulic fluid
A 65-g ice cube at 0°C is placed in 665 g of water at 30°C. What is the final temperature of the mixture
An aquarium filled with water (n=1.33) has flat glass sides whose index of refraction is 1.52. What is the critical angle from the glass to the water
The distance to the Andromeda Galaxy is estimated at about 2 x 10(6) light years. A light year is distance traveled by light in one year; if the speed of light is 3 x 10(8) m/s, about how far is it from our galaxy to Andromeda? (1 year =3.15 x 10(..
Average Rate of Work The loaded cab of an elevator has a mass of 3.00 multiplied by 103 kg and moves 235 m up the shaft in 23s at constant speed. At what average rate does the force from the cable do work on cab.
Fred and Barney are two electric charges that are to begin with held 1 meter apart and experience an electric repulsion of 10 pounds of force. What would be the force of repulsion between them be if the two were moved closer together so that they ..
What is Lagrangian for the system
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