a) Assume this tunnel is dug from New York to San Francisco, a distance of 5000...

  

Transcribed Image Text:

a) Assume this tunnel is dug from New York to San Francisco, a distance of 5000 km measured along the surface. A car rolling on steel rails is released from rest at New York, and rolls through the tunnel to San Francisco. Neglecting friction and also the rotation of the Earth, how long does it take to get there? (g and the Radius of the Earth R 6400 Km) = = 980cm/s An object of mass m moves in a smooth, straight tunnel dug between two points on the Earth's surface (Figure 1). Show that the object moves with simple har- monic motion and find the period of its motion. Assume that the Earth's density is uniform. y 178 a) Assume this tunnel is dug from New York to San Francisco, a distance of 5000 km measured along the surface. A car rolling on steel rails is released from rest at New York, and rolls through the tunnel to San Francisco. Neglecting friction and also the rotation of the Earth, how long does it take to get there? (g and the Radius of the Earth R 6400 Km) = = 980cm/s An object of mass m moves in a smooth, straight tunnel dug between two points on the Earth's surface (Figure 1). Show that the object moves with simple har- monic motion and find the period of its motion. Assume that the Earth's density is uniform. y 178