Asolid sphere of mass 0.6040 kg rolls without slipping along a horizontal surface with a translational speed of 5.080 m/s. it comes to an incline that makes an angle of 33.00° with the horizontal surface. to what vertical height above the horizontal surface does the sphere rise on the incline?

Engineers find a new metal that is stronger than steel but much lighter. this material is also significantly cheaper than what is currently used for most aircraft, available in large quantities, and easy to manufacture. the engineers are excited because this new material will lower the costs of buying and operating airplanes for companies. what is probably the best step for the engineers to make next?