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Advanced Physics

Jeese

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The string on a bow can be described as a spring. A particular bow’s string has a spring constant of 110 N/m and is pulled back 0.6 m to launch a 0.02 kg arrow. If the bow has a mass of 1 kg, what will be the speed at which the arrow is launched?
A toy gun uses a spring to project a 5.9 g soft rubber sphere horizontally. The spring constant is 8.0 N/m, the barrel of the gun is 14 cm long, and a constant frictional force of 0.026 N exists between barrel and projectile. With what speed does the projectile leave the barrel if the spring was compressed 5.4 cm for this launch? (Assume the projectile is in contact with the barrel for the full 14 cm)
A certain spring has a length of 47.6 cm when a 4.49 kg mass is hung from it and a length of 58.6 cm when a 8.23 kg mass is hung from it. What is the spring constant for this spring in N/m?
A block with a mass m is initially compressing a spring by x1 on a horizontal floor with no friction. The spring has a spring constant k. The block is realeased from rest and travels a total distance of D including x1 and has a speed of v. what is the coefficent of kinetic friction between the floor and block?
a 2 kg weight is fasten to a spring on an inclined plane. It has a spring constant of 20 N/m. When the spring is relaxed, the mass sits at the bottom of the incline. It is compressed 0.25 m from its relaxed position, and the weight is released. It goes down the incline, to the horizontal surface and up a second, identical incline. If there were kinetic friction between the weight and the right incline, but none between the weight and the left incline, what would be the coefficient of kinetic friction μk so the maximum height reachable is the same as the starting position (i.e. d=0.25m).
10. Ā = -2â + -3ŷ and B = -4â + -4ŷ. Calculate R = Ã+B. Calculate 0, the direction of R. Recall that 0 is defined as the angle with respect to the +x-axis. A. 49.4° B. 130.6° C. 229.4° D. 310.6°
A block with mass m = 19.1 kg is pressed against a spring with spring constant 2.720E+3 N/m, compressing the spring a distance of 0.130 m. It is then released from rest, moves across a frictionless horizontal surface, down a frictionless hill (vertical height h = 8.24 m), and onto a horizontal surface with friction μk = 0.287. How far (in m) will the block slide across the horizontal frictional surface before coming to rest?
The cable of a 1170 kg elevator cab shown in the figure below snaps when the cab is at rest at a height ?=22.9m above a spring with spring constant ?=9.08×10^4N/m. Additionally a constant friction force created by the clamps sliding along the guide rails is experienced by the cab as it moves in the shaft with strength ?f=8.14×10^3N. (a) What isthe maximum distance xthe spring compresses? (b) What is the maximum acceleration experienced by the elevator during its movement described in the problem? Assume no static friction acting on the cab since we can imagine the clamps not engaging until the moment after the cab begins to fall. Also, note that the clamps stay engaged the whole time, including while the spring is being compressed and while the elevator is bouncing back up.
The cable of an elevator of mass M = 3200 kg snaps when the elevator is a rest at one of the floors of a skyscraper. At this point the elevator is a distance d = 16.6 m above a cushioning spring whose spring constant is k = 9000 N/m. A safety device clamps the elevator against the guide rails so that a constant frictional force of f = 13929 N opposes the motion of the elevator. Find the maximum distance by which the cushioning spring will be compressed.
A 2.0 kg block is placed against a spring on a frictionless 30 degrees incline (from the horizontal). The spring, whose spring constant is 1960 N/m, is compressed 20 cm and then released. How far along the incline does it send the block? (Ans.= 4m)
A 1.4 kg mass slides to the right on the surface having a coefficient of kinetic friction 0.25. The object of the speed of v(initial)=2.7 m/s when it makes contact with a light spring that has a force constant of 50 N/m. The object comes to rest after the spring has been compressed a distance d. The object is then forced toward the left by the spring and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest at distance D to the left of the unstretched spring. Find the distance of compression d. Find the speed v at the unstretched position when the object is moving to the left. Find the distance D where the object comes to rest.
The coefficient of kinetic friction between the m (kg) crate and the plane is u = 0.25. Initially the spring is compressed at x (m) and the crate is at rest. The initial state is at h =0 m. Find the equation that will define the distance d the crate will travel upward and be again at rest. k = 2 kN/m and e (degrees) is the angle between the plane and the horizontal. g = 9.81 m/s². O mx? /(9.81 * m * cos0 + 0.25 * 9.81 * m * sind) m O mx? /(9.81 * m * sind) m O mx? /(9.81 * m * sino + 0.25 * 9.81 * m * cos0) m O Imx? /(9.81 * m * cos0 0.25 *9.81 * m* sino) m Clear my choice