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A horizontal slingshot consists of two light, identical springs (with spring constants of 27.7 N/m) and a light cup that holds a 1.47-kg stone. Each spring has an equilibrium length of 50 cm. When the springs are in equilibrium, they line up vertically. Suppose that the cup containing the mass is pulled to x = 0.7 m to the left of the vertical and then released. Determine
a) the system's total mechanical energy.
b) the speed of the stone at x = 0.
A 3.2-kg block is hanging stationary from the end of a vertical spring that is attached to the ceiling. What is the elastic potential energy of the system
What is the magnitude of the maximum displacement from the equilibrium of the top of the building, What is the maximum velocity of the top of the building
A uniform plank of length 5.70 m and weight 215 N rests horizontally on two supports, with 1.1 m of the plank hanging over the right support. To what distance x can a person who weighs 452 N walk on the overhanging part of the plank before it just be..
The value of acceleration found in (b)iii, along with numerical values for the given quantities and your answer to (c), can be used to determine the rotational inertia of the pulley. The pulley is removed from its support and its rotational inerti..
A 51kg crate, starting from rest, is pulled across a floor with a constant horizontal force of 250N. For the first 10.5m the floor is frictionless, and for the next 10.5m the coefficient of friction is 0.18. What is the final speed of the crate af..
Assume a uniform mass distribution before and after. Icm for a solid sphere of uniform density is 2/5 mr2.
A parallel plate capacitor with a capacitance C= 200x10^-12 consists of two copper plates, Calculate the potential(voltage) at a point exactly halfway between the plates
A stone is dropped into a river from a bridge 41.9 m above the water. What is the initial speed of the second stone
A conducting sphere that carries a total charge of -9.1 µC is placed at the center of a conducting spherical shell that carries a total charge of +1.7 µC. Determine the charge on the outer surface of the shell
A 120 V potential difference is applied to a space heater whose resistance is 22.6 ohms when hot, How much thermal energy is produced in 8.8 hours
The equation of a transverse wave traveling along a very long string is given by y = 6.9 sin(0.025(pi)x + 4.5(pi)t), Determine the transverse displacement
Of the charge Q initially on a tiny sphere, a portion q is to be transferred to a second, For what value of q/Q>0.5 will the electrostatic force between the two parts have 1/2 of the maximum possible value
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