A pendulum bob with a mass of 0.49 kg is attached to a 1.5 m long string as shown.   As the pendulum bob swings from point A, where the angle ? = 34°, to point B at the bottom of its arc, determine the change in the gravitational potential energy of the pendulum bob-earth system.

A 450-N child is in a swing that is attached to a pair of ropes 1.90 m long. Find the gravitational potential energy of the child- Earth system relative to the child's lowest position at the following times. (a) when the ropes are horizontal J (b) when the ropes make a 29.0° angle with the vertical J (c) when the child is at the bottom of the circular arc J

Tarzan swings on a 35.0-m-long vine initially inclined at an angle of 34.0° with the vertical. (a) What is his speed at the bottom of the swing if he starts from rest? m/s(b) What is his speed at the bottom of the swing if he pushes off with a speed of 6.00 m/s? m/s

Question 4 Consider a swinging pendulum. When the pendulum is moving towards its middle point, which of the following statements about its energy is correct? Decreasing gravitational potential energy, constant kinetic energy Increasing gravitational potential energy, decreasing kinetic energy Decreasing gravitational potential energy, increasing kinetic energy Increasing gravitational potential energy, constant kinetic energy

Consider four "special positions" of the marble: (A) - the marble begins to fall (B) the cord begins to stretch (C) - the equilibrium position (D) the marble comes to a momentary stop as shown below. Assume that the zero level of the gravitational potential energy of the system "marble-Earth" is at the level of the table. 31 The marble reaches its maximum speed: at position B A Obetween positions A and B . Б at position C X C D Obetween positions B and C Oat position D Obetween positions C and D

A recently patented pile driver pounds piles into the ground by launching 15 kg bowling balls from a spring loaded gun, up around a frictionless loop-de-loop of radius r= 8 m, and down onto the pile. When the spring is compressed by As = 2 m, the bowling balls have a speed of 20 m/s at the top of the loop, as shown. (You may v = 20 m/s r=8 m assume g = 10 m/s².) k ? As = 2 m Find the spring constant of the gun. pile A) Zero B) 100 N/m C) 2700 N/m D) 150 N/m E) 1300 N/m O A O B O D O E

The turntable in a microwave oven has a moment of inertia of 0.040 kg • m2 and rotates continuously, making a complete revolution every 4.0 s. What is its kinetic energy?

A 240-N child is in a swing that is attached to ropes 2.10 m long. Find the gravitational potential energy associated with the child relative to her lowest position at the following times. (a) when the ropes are horizontal J(b) when the ropes make a 34.0° angle with the vertical J(c) when the child is at the bottom of the circular arc J

A 380-N child is in a swing that is attached to a pair of ropes 1.80 m long. Find the gravitational potential energy of the child-Earth system relative to the child's lowest position at the following times. (a) when the ropes are horizontal 684 (b) when the ropes make a 32.0° angle with the vertical J (c) when the child is at the bottom of the circular arc J

1. A 5.00-kg block is set into motion up an inclined plane with an initial speed of v; = 8.00 m/s. The block comes to rest after traveling 3.00 m along the plane, which is inclined at an angle of 30.0° to the horizontal. For this motion determine (a) the change in the block's kinetic energy, (b) the change in the potential energy of the block- Earth system, and (c) the friction force exerted on the block (assumed to be constant). (d) What is the coefficient of kinetic friction?