Fabien leaps off the edge of a cliff, not realizing he would…

Fabien leaps off the edge of a cliff, not realizing he would likely die from the fall. Luckily his friend Gimble snares him with a lasso connected to a 4 m long rope. Once Fabien is hanging stationary with Gimble bravely holding the other end of the rope, Gimble notices that the rope has stretched by 10 cm. Assuming the rope has a diameter of 3 cm and Fabien has a mass of 22 kg, what is the Young’s modulus of the rope?

Carlin hangs a sign in front of her shop with a cable held a…

Carlin hangs a sign in front of her shop with a cable held away from the building by a lightweight pole. The cable makes an angle of 60 degrees with the wall, and the sign hangs from the edge of the pole, which has a length of 1.5 m and is perpendicular to the wall. Once the sign is hung, Carlin measures a tension in the cable of 150 N. What is the mass of the sign?