Question

Prove that the motion of body dropped in tunnel along the diameter of the earth is independent of its mass and also prove its executes simple harmonic motion & to calculate the time period of the object .​

Answer 1

Explanation:

The mass will execute SHM in the tunnel.

Time period of oscillation T=2π

g

R

where R=6.4×10

6

m and g=9.8 m/s

2

⟹ T=2π

9.8

6.4×10

6

s=5075 s

So we get T=

60

5075

=84.6 minutes

Time taken to cross the tunnel t=

2

T

=

2

84.6

=42.3 minutes