Movement in space doesn’t work like on earth. Yes there is no air resistance and things don’t stop moving, but due to gravitation, they change path constantly. So you can’t just push something into the direction of the sun and expect it o get there someday. Earth rotates around the sun like a satellite around the earth. If you’d push a satellite towards earth you would only slightly displace his orbit towards earth from the point of pushing once and then it would be stable again.
To actually crash something into the body it’s orbiting you’d need to stop their “sideways” movement that keeps them in orbit. Earths orbital “sideways” speed is 30km/s or 67000 mph. To “break” this much speed in space would be extremely costing, other alternatives are much more viable for much less effort.
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