FIGURE 8-6 A roller coaster of mass 80.0 kg is moving with a speed of 20.0 m/s at position A as shown in Figure 8-6. The vertical height at position A above ground level is 200 m. Neglect friction and use g = 10.0 m/s 2 .
-What is the speed of the roller coaster at point B?

Question

FIGURE 8-6  A roller coaster of mass 80.0 kg is moving with a speed of 20.0 m/s at position A as shown in Figure 8-6. The vertical height at position A above ground level is 200 m. Neglect friction and use g = 10.0 m/s 2 .
-What is the speed of the roller coaster at point B?

Quizplus · Accepted Answer

The speed of the roller coaster at point B can be found using the conservation of energy. The potential energy at point A is converted into kinetic energy at point B. Therefore, the speed of the roller coaster at point B is:$$v_B = \sqrt{2gh_A}$$where:* $$v_B$$ is the speed of the roller coaster at point B* $$g$$ is the acceleration due to gravity* $$h_A$$ is the height of the roller coaster at point ASubstituting the given values into the equation, we get:$$v_B = \sqrt{2(9.8 m/s^2)(40 m)} = 66.3 m/s$$Therefore, the speed of the roller coaster at point B is 66.3 m/s.

FIGURE 8-6 a Roller Coaster of Mass 80