FIGURE 8-8
-6 J of work is needed to push an object of mass 2 kg from point A to point B of the inclined plane as shown in Figure 8-8. If the angle of inclination is 30°, the height of the plane is h, what is the length of the inclined plane? Use g = 10 m/s².

Question

FIGURE 8-8 FIGURE 8-8 -6 J of work is needed to push an object of mass 2 kg from point A to point B of the inclined plane as shown in Figure 8-8. If the angle of inclination is 30°, the height of the plane is h, what is the length of the inclined plane? Use g = 10 m/s<sup>2</sup>. A) 0.6 m B) 0.3 m C) 10 m D) 6 m E) 3 m

FIGURE 8-8 -6 J of work is needed to push an object of mass 2 kg from point A to point B of the inclined plane as shown in Figure 8-8. If the angle of inclination is 30°, the height of the plane is h, what is the length of the inclined plane? Use g = 10 m/s<sup>2</sup>. A) 0.6 m B) 0.3 m C) 10 m D) 6 m E) 3 m

-6 J of work is needed to push an object of mass 2 kg from point A to point B of the inclined plane as shown in Figure 8-8. If the angle of inclination is 30°, the height of the plane is h, what is the length of the inclined plane? Use g = 10 m/s².

Quizplus · Accepted Answer

The work done against gravity is equal to the change in potential energy of the object. The change in potential energy is mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the plane. The work done is 6 J, the mass of the object is 2 kg, the acceleration due to gravity is 10 m/s^2, and the angle of inclination is 30°. The height of the plane is h = 6 J / (2 kg * 10 m/s^2 * sin 30°) = 0.6 m. The length of the inclined plane is l = h / sin 30° = 0.6 m / sin 30° = 1.2 m.

FIGURE 8-8 -6 J of Work Is Needed to Push an Object