A small sphere is attached to one end of a string of length 1.67 mm. The other end of the string is attached to the ceiling, and, with the string taut, the sphere is initially positioned so that the string attached to it makes an angle of 28.1º with the vertical. If the sphere is then let go (from rest) and allowed to swing on the string like a pendulum, what is the speed of the sphere at the instant it passes through the lowest point in its motion? (Neglect air resistance.)

Q: Problem 5: A train of mass 5 x 10° kg is brought to a stop from a speed of 0.4 m/s in 0.3 m by a…

A:

Q: The figure shows a 0.536-kg frictionless particle's potential energy as a function of position along…

A: Given Data mass of the particle m = 0.536 kgsince friction is not present in the systen which…

Q: A car traveling 3.5 m/s coasts up a hill decreasing its speed to 2.2 m/s. Neglecting losses from…

A: From the conservation of energy:

Q: The string in the figure is L = 125 cm long, has a ball attached to one end, and is fixed at its…

A:

Q: A mass is on an inclined plane with a length of 4 m and an angle of 30 degrees; the friction…

A: We find the acceleration of the mass. We then find the speed at bottom. We then apply conservation…

Q: A simple pendulum is suspended from the ceiling by means of a string of length 2.41 m. Assume that…

A:

Q: A spring is initially stretched to 0.1 m beyond its equilibrium length.  Then we pull it back to 0.3…

A: Suppose, the spring is stretched by x1 = 0.1 m at first and by x2= 0.3 m at the second time. Let the…

Q: A particle of mass m moves along the x-axis such that its acceleration is d²x dz² = 8x³. -X. (a)…

A:

Q: An object is traveling along the y axis with the potential energy shown in the figure. If the object…

A:

Q: A mass m is acted on by a force F1(x) = Ax from x = 0 to x = L. %3D If m starts from rest, what is…

A:

Q: An object is traveling along the y axis with the potential energy shown in the figure. If the object…

A: If you know the potential energy function U J, you can calculate the force at any point by taking…

Q: A spring (constant k = 125 N/m) is stretched a distance 5 cm, and a mass 0.05 kg is hooked to its…

A: Spring constant, k = 125 N/m Maximum amplitude, A = 5 cm = 0.05 m Mass, m = 0.05 kg Speed, v = ?

Q: A mass of 10.0 kg is attached to a spring on a frictionless horizontal surface. The spring constant…

A:

Q: A bungee jumper with a mass of 77.5 kg is standing on a platform 65.1 m above a lake. The length of…

A: Give: m = 77.5kg h0 = 65.1m L0 = 15.3m K = 155N/m h1 = 47.7m V1 = ?

Q: The figure shows a pendulum of length L = 1.7 m. Its bob (which effectively has all the mass) has…

A:

Q: A particle, starting from point A in the drawing (the height at A is 3.00 m), is projected down the…

A: Given data:  Initial height (hi) = 3.00 m Final height (hf) = 4.81 m Final velocity (v) = 0 m/s…

Q: To make a pendulum, a 410 g ball is attached to one end of a string that has a length of 1.8 m and…

A: Given that -- m = .41 kg length of string  L = 1.8 m initial angle between the string and vertical =…

Q: A spring with an attached mass of 500 grams is stretched 10 cm with a force of 25 newtons. When it…

A: Given Mass  m = 500 g = 0.500 kg Compression x = 10 cm = 0.10 m Applied force F = 25 N

Q: A block on a horizontal spring slides along a horizontal frictionless surface. The mass of the black…

A: The mass of the block is given as .The spring constant of the block is The block is stretched a…

Q: Suppose a certain spring’s relaxed length is 13 cm.  (a) If we must put 50 J of energy into the…

A: The potential energy stored in a spring is given by:Where: is the potential energy stored in the…

Q: simple pendulum is suspended from the ceiling by means of a string of length 1.82 m. Assume that…

A: simple pendulum is suspended from the ceiling by means of a string of length 1.82 m. Assume that…

Q: The collar in the figure is smooth and has a mass of 2 kg. It is released from its unstretched…

A:

Q: An object is traveling along the y axis with the potential energy shown in the figure. If the object…

A:

Q: A box (of negligible size) slides down a smooth parabolic ramp. A stretchy cord (which acts like a…

A:

Q: The fair is in town and one of the attractions is a bungee jump. They are trying to determine the…

A:

Q: The figure shows a pendulum of length L = 1.6 m. Its bob (which effectively has all the mass) has…

A:

Q: 0.25 kg mass is placed on a vertically oriented spring that is stretched 0.56 meters from its…

A:

Q: A toy car of mass m is pushed against a spring, compressing it a distance d from its natural rest…

A:

Q: A mother is pushing her little son, Mark, on a swing; The highest point reached by the swing is 1.0…

A: highest point reached by swing = 1 m Lowest point reached by swing = 0.3 m Let the mass of swing +…

Q: An object is sliding down a ramp at a speed of V. At the bottom of the ramp is a spring with spring…

A:

Q: A pendulum, 2.0 m in length, is released with a push when the string is at an angle of 25 o from the…

A: The objective of this question is to find the speed of the pendulum at the bottom of its swing. We…