One end of a wire is attached to a ceiling, and a solid brass ball is tied to the lower end. The tension in the wire is 449 N. What is the radius of the brass ball?

a bucket of water with a mass of 25 kilograms is lifted from a well by a rope which is wound around a cylinder with a radius of 0.10 meters. A 0.50 meter crank is attached to the cylinder so that it wraps the rope around the cylinder. what is the minimum force that must be applied to the crank to lift the water bucket ?

In the figure, a 134 kg uniform log hangs by two steel wires, A and B, both of radius 1.20 mm. Initially, wire A was 2.70 m long and 1.75 mm shorter than wire B: The log is now horizontal. Young's modulus for steel is 2.00 x 1011 N/m² What are the magnitudes of the forces on it from (a) wire A and (b) wire B? (c) What is the ratio da/dg? (a) Number i (b) Number (c) Number Wire A Units Units Units Wire B

A 90-kg mountain climber hangs from a nylon rope and stretches it by 25.0 cm. If the rope was originally 30.0 m long and its diameter is 1.0 cm, what is Young’s modulus for the nylon?

When pushing off of a pool wall, a swimmer exerts a force parallel to the length of her femur, compressing it 3 × 10−5 m. The bone is equivalent to a uniform cylinder 36.0 cm long and 1.75 cm in radius. Young's modulus for bone is 16 × 10⁹ N/m². (a) Calculate the force exerted (in N). 1710 X Consider the basic definition for Young's modulus. N (b) If her mass is 65.5 kg and water resistance is negligible, what is her acceleration (in m/s²)? Assume her weight is precisely supported by the water. m/s² (c) How fast (in m/s) is she going once she exerts this force through a distance of 20.5 cm, starting from rest? m/s

The “lead” in pencils is a graphite composition with a Young’s modulus of about 1 • 109 N/m2. Calculate how much shorter (in mm) the length of the lead becomes in an automatic pencil if you tap it straight into the pencil with a force of 3.8 N. The lead is 0.45 mm in diameter and 59 mm long. ΔL =

On a part-time job, you are asked to bring a cylindrical iron rod of density 7800 kg/m^3, length 89.2 cm and diameter 2.45 cm from a storage room to a machinist. Calculate the weight of the rod, w. Assume the free-fall acceleration is g = 9.80 m/s^2. Express you answer in N.

A 330 gram ball is attached to one end of a rubber (Young's Modulus= 0.120 GN/m2) wire of diameter 1.32 mm and an unstretched length of 83.0 cm. The other end of the wire is attached to the top of a post. The ball rotates around the post in a horizontal plane such that the angle between the wire and the horizontal is 10.5 degrees. Find the tension in the wire and the increase in the wire's length due to the tension in the wire. Tension 17.75 Vo N %3D ALength = cm

In the figure, a 140 kg uniform log hangs by two steel wires, A and B, both of radius 1.25 mm. Initially, wire A was 2.40 m long and 2.15 mm shorter than wire B. The log is now horizontal. Young's modulus for steel is 2.00 x 1011 N/m?. What are the magnitudes of the forces on it from (a) wire A and (b) wire B? (c) What is the ratio da/dg? Wire A Wire B d Com

A 20.0 m tall hollow aluminum flagpole is equivalent in strength to a solid cylinder of aluminum 3.50 cm in diameter. A strong wind bends the pole much as a horizontal force of 900 N exerted at the top would. How far to the side (in mm) does the top of the pole flex?