Secure https://session.masteringphysics.com/my K Ch 37 HW What If the Speed of L

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Secure https://session.masteringphysics.com/my K Ch 37 HW What If the Speed of Light Were 40 mph? Constants Suppose that the speed of light in a vacuum ( c), instead of being a whopping 3 x 103 m/s, was a rather sluggish 40.0 mph. How would that affect everyday life? Throughout this problem we are going to assume that c 40.0 mph and that time dilation is in full effect. Let's start by assuming that it is fairly easy to accelerate to speeds close to 40.0 mph We will also ignore gravity throughout this problem. Otherwise, the earth (with an escape velocity of 11 km/s) would have turned into a black hole long ago

Explanation / Answer

Curvature around a spherical region of constant mass density = (G.M)/3c^2

c is the speed of light, M is mass in the sphere and G is a constant. Thus, As curvature is increased the effective force increases and body’s own gravity will increase. In our everyday life, the relativistic speed limit is very small and relativistic effects are observed which is small comparatively. Time dilation exists when velocity becomes comparable to the speed of light but when it is reduced massively, this time dilation effect will become profound and these effects exist even in the normal world. Also, because of more force, the mass of every object will increase to a high value. But by not taking gravity into consideration, acceleration of each body will become large and bodies will tend to collide frequently and comparatively

In case of kinetic energy low-velocity approximation of the true equation is done but if the speed of light is reduced the other later approximations will matter. with 40mph, having a conversation with someone who isn’t close at hand will result in really annoying delays. Even at running speed there would be enough relativistic doppler shift to change the colors around you. If you were driving past a yellow color, it would appear blue in front of you and fade to deep red as it passed behind you.

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