A pendulum is raised to a certain height and released from point A, as shown in the image below. At its release, the pendulum is also given an initial velocity of 14 m/s. Assuming that the effects of friction and air resistance can be ignored, what will be the maximum height that the pendulum can reach - that is , what is the height at point B? (Recall that g = 9.8 m/s2.)

A spring-loaded toy gun is used to shoot a ball of mass m = 1.50 kg straight up in the air, as shown in (Figure 1). The spring has spring constant k = 667 N/m. If the spring is compressed a distance of 25.0 centimeters from its equilibrium position y = 0 and then released, the ball reaches a maximum height hmax (measured from the equilibrium position of the spring). There is no air resistance, and the ball never touches the inside of the gun. Assume that all movement occurs in a straight line up and down along the y axis. Figure hmax y=0 ☹ 1 of 1 Part B Find vm the muzzle velocity of the ball (i.e., the velocity of the ball at the spring's equilibrium position y = 0). ▸ View Available Hint(s) Um = Submit Part C v A Templates Symbols undo redo reset keyboard shortcuts help Find the maximum height hmaxof the ball. Express your answer numerically, in meters. ▸ View Available Hint(s) hmaxe Submit ▾ Part D Templates Symbols undo redo reset keyboard shortcuts help Submit m/s Which of the…

A 0.20 kg mass is attached to a spring with a spring constant equal to 240 N/m, and this mass-spring system is oscillating on a horizontal surface that is nearly frictionless. The spring was originally stretched a distance of 0.12 meters from its equilibrium (unstretched) length. a) How much did the potential energy of this mass-spring system change when the spring was originally stretched 0.12 meters? b) What is the maximum speed the mass will attain in its oscillation? c) Where in the motion is this maximum speed attained? d) What is the frequency of oscillation of this mass-spring system?

A 215 g object is attached to a spring that has a force constant of 75.5 N/m. The object is pulled 9.25 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table.   Calculate the maximum speed vmax of the object.

A bowling ball is attached to a 2.91-meter long cable and hung from the ceiling. The cable is kept taut and the ball is raised to an initial height of 1.73 meters above the classroom floor. It is released from rest and allowed to swing as a pendulum. Determine its speed (in m/s) when it is at a height of 1.17 meters above the floor.

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A 2.0 kg breadbox on a frictionless incline of angle θ=40° is connected, by a cord that runs over a pulley, to a light spring of spring constant k = 133 N/kg as shown in the figure below.  The box is released from rest when the spring is unstretched.  Assume that the pulley is massless and frictionless.  How far down the incline (in meters) from its point of release does the box slide before momentarily stopping (kinetic energy = zero at this point).  Use g = 10 N/kg.

A block of mass m = 2.00 kg is attached to a spring of force constant k = 440 N/m as shown in the figure below. The block is pulled to a position x:= 5.70 cm to the right of equilibrium and released from rest. x=0 x = x; (a) Find the speed the block has as it passes through equilibrium if the horizontal surface is frictionless. m/s (b) Find the speed the block has as it passes through equilibrium (for the first time) if the coefficient of friction between block and surface is μ = 0.350. m/s

A cart of mass 0.72 kg is attached to one end of of a spring and placed on a low-friction track, inclined at an angle of 56.0 degrees with respect to the horizontal. The cart is found to be in equilibrium when the spring is stretched to a total length of 44.8 cm. Given that the rest length for the spring is 12.8 cm, what is the spring constant for the spring?

An object of mass 6.25 kg slides down a hill of height 21.1 m. At the bottom of the hill is a spring with spring constant 53.6 N/m. How far is the spring compressed when the mass comes to rest? Assume the mass starts from rest at the top of the hill. Give your answer in meters to three significant figures.