A 0.80 kg object tied to the end of a 2.0 m string swings as a pendulum. At the lowest point of its swing, the object has a kinetic energy of 10 J. Determine the speed of the object in m/s at the instant when the string makes an angle of 50° with the vertical. 4.4 5.6 5.0 3.3 O 6.1

At which point or points is the total energy at its maximum value? At which point or points is the kinetic energy positive?

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

A mother is pushing her little son, Mark, on a swing; The highest point reached by the swing is 1.0 meter and the lowest point is 0.30 meter. Find the maximum speed of Mark while riding on the swing.

A boy reaches out of a window and tosses a ball straight up with a speed of 23.3 m/s. The ball is 24.0 m above the ground as he releases it. Use energy to find the ball's maximum height above the ground (in m) assuming that the local acceleration due to gravity is 9.80 m/s2 Use energy to find the ball's speed (in m/s) as it passes the window on its way down. Use energy to find the ball's speed (in m/s) as it impacts the ground.

Below is a conservation of energy problem. The solution to this problem is provided. Assess whether the solution provided is correct or incorrect AND EXPLAIN WHY. 1. A 4.6 kg block is at rest against a horizontal spring that is compressed by 0.40 m. The spring has a spring constant of k₁ = 2750 N/m. After leaving the spring, it travels up a 28° incline to a height of 2.8 m. At the top of the hill is a second spring with a spring constant of k₂ = 350 N/m. The horizontal portions are frictionless, but the hill has a coefficient of kinetic friction equal to uk= 0.16. x₁ = 0.40 m (CO))) N k₁ = 2750- m Simplifies to Mk = 0.16 a. How fast does the block leave the spring on the bottom of the hill? x₁ = 0.40 m h₁ = 0 m Vi= 0 m/s 28⁰ k = 2750 N/m m = 4.6 kg 2 Wnc+mghi +1⁄₂kx² W nc +½ = 0 J ½/2kx; ² = 2 mv; = = h = 2.8 m ½ mvf2 X₁ = 0 m hf = 0 m Vi=? m/s mghƒ+½ kxf² +½ mv₁² vf = √k/m* Xi =√(2750 N/m ÷4.6 kg) * (0.40 m) Vf = 9.78 m/s (XX))) = 350 N m

A block attached to a horizotal spring oscillates on a frictionless surface, the x-t graph of the block is shown below. At t = 1.0 s, which of the following is maximum? Select all apply. speed     the magnitude of the acceleration     the magnitude of the spring force     kinetic energy of the block     spring potential energy of the spring     none of the above

A spring of spring constant k = 822 N/m is suspended vertically from a ceiling. You attach a 46.0 kg mass to the spring and drop it. What is the speed of the mass when it is 2/3 of the way down to the position where it will momentarily stop?

A spring that has a spring constant of k = 183.0 N/m is oriented vertically, with one end on the ground. What distance y must the spring compress for an m = 2.43 kg object placed on its upper end to reach equilibrium? y = By how much AUspring does the potential energy stored in the spring increase during the compression? AUspring = J

The final answer should be in three decimal places.