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Q. A 5000-kg freight car rolls along rails with negligible friction. The car is brought to rest by a combination of two coiled springs as illustrated in the figure below. Both springs are described by Hooke's law and have spring constants with k1 = 1700 N/m and k2 = 3300 N/m. After the first spring compresses a distance of 33.0 cm, the second spring acts with the first to increase the force as additional compression occurs. The car comes to rest 53.0 cm after first contacting the two-spring system. Find the car's initial speed.
Due to the nature of the wastewater, the engineer wants to target the high end of this range. Find the proper diameter pipe to the nearest 2” (e.g., 2”, 4”, 6”, 8”, 10”, etc.) to achieve this design objective.
The coefficient of static friction between the wall and the rod is μs = 0.575. Determine the minimum distance x from point A at which an additional weight w (the same as the weight of the rod) can be hung without causing the rod to slip at point A.
A college campus features a large fountain surrounded by the circular pool. Two students start at the northernmost point of pool and walk slowly around it in opposite directions.
A horizontal force of 750 N is needed to overcome the force of static friction between a level floor and a 250 kg crate. What is the acceleration of the crate if the 750 N forces is maintained after the crate begins to move and coefficient of kine..
Two carts with masses of 4.80 kg and 2.78 kg move toward each other on a frictionless track with speeds of 4.94m/s and 3.17m/s respectively. The carts stick together after colliding head-on. Find out the final speed.
In a head-on collision, the car stops in 0.23 {rm s} from a speed of 17 {rm m}/{rm s}. The driver has a mass of 77 {rm kg}, and is, fortunately, tightly strapped into his seat. What force is applied to the driver by his seat belt during that fract..
A hotel elevator ascends 240 m with a maximum speed of 5.8 m/s. Its acceleration and deceleration both have a magnitude of 1.0 m/s2.
An ocean liner leaves New York City and travels 18.0° north of east for 232 km. How far east and how far north has it gone? In other words, what are the magnitudes of components of the ship's displacement vector in the following directions.
How much work done against force of gravity
Determine the position of the GPS satellite relative to and from the center of the earth and ratio of clock rates on a GPS clock in orbit and one on the surface of the earth.
A 253 kg log is pulled up a ramp by means of a rope that is parallel to the surface of the ramp. The ramp is inclined at 30.0° with respect to the horizontal.
Two point charges, +3.09 µC and -6.05 µC, are separated by 1.33 m. What is the electric potential midway between them?
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