# Lorenz Transformation

## Homework Statement

A clock is moving past us at speed $$v=\frac{c}{2}$$ reads $$t^{'}=0$$ when our clock read t=0. Using the Lorentz tranformation, find out what our clock will read when the moving clock reads 10s.

## Homework Equations

$$t=\gamma(x^{'}+\frac{Vt^{'}}{c^{2}})$$

## The Attempt at a Solution

Alright so I know I have this one wrong if I use the equation for time dilation I get 11.5 seconds and it is correct, but I am having trouble using the lorenz transformation to get the same answer. For $$x^{'}$$ I am using the equation Vt=x and get 5cs (light seconds), but I am ending up with a t=14. seconds.
I have some small silly disconnect somewhere. Help?

Last edited:
{"ft_lang_label":"__label__en","ft_lang_prob":0.83145374,"math_prob":0.9825334,"size":720,"snap":"2020-24-2020-29","text_gpt3_token_len":217,"char_repetition_ratio":0.12150838,"word_repetition_ratio":0.0,"special_character_ratio":0.29722223,"punctuation_ratio":0.077419356,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9997688,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-07-10T07:59:55Z\",\"WARC-Record-ID\":\"<urn:uuid:1f597544-e5a9-4007-891c-49d2182d7dfa>\",\"Content-Length\":\"66621\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:a32557e2-7f32-4fba-af21-b6af6a6b40fc>\",\"WARC-Concurrent-To\":\"<urn:uuid:0007085d-d26f-46d9-b0bd-115c631ae227>\",\"WARC-IP-Address\":\"23.111.143.85\",\"WARC-Target-URI\":\"https://www.physicsforums.com/threads/lorenz-transformation.339310/\",\"WARC-Payload-Digest\":\"sha1:SA2VWACPBNKFKDQRIJPKZPB3JINRBG6F\",\"WARC-Block-Digest\":\"sha1:N5QNXDIMEIOJDQY5VVX7BN44XQK247WT\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-29/CC-MAIN-2020-29_segments_1593655906214.53_warc_CC-MAIN-20200710050953-20200710080953-00020.warc.gz\"}"}