Question

A triangular board have sides 3.00 m and 4.00 m, and hypotenuse 5.00 m when measured in the laboratory. If the board is moving relative to the laboratory at 0.600 c (with the 4.00-m side parallel to the direction of motion), how long will its hypotenuse be as measured in the laboratory?

4.50 m

3.76 m

4.32 m

4.39 m

3.84 m

Answer 1

here,

the length of hypotnuse at rest , l0 = 5 m

at v = 0.6 c

the length of 4 m side measured , l = 4 * sqrt(1 - (v/c)^2)

l = 4 * sqrt( 1 - (0.6 * c/c)^2)

l = 3.2 m

the length of hypotnuse h = sqrt(l^2 + 3^2)

h = 4.38 m