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The bulk modulus for bone is 15 GPa(a) If a diver-in-training is put into a pressurized suit, by how much would the pressure have to be raised (in atmospheres) above atmospheric pressure to compress her bones by 0.10% of their original volume? (b) Given that the pressure in the ocean increases by 1.0 * 10⁴ Pa for every meter of depth below the surface, how deep would this diver have to go for her bones to compress by 0.10% ? Does it seem that bone compression is a problem she needs to be concerned with when diving?

A box with mass 10.0 kg moves on a ramp that is inclined at an angle $\mathbf{55}\mathbf{°}$of above the horizontal. The coefficient of kinetic friction between the box and the ramp surface is ${\mathit{μ}}_{\mathbf{k}}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{300}$. Calculate the magnitude of the acceleration of the box if you push on the box with a constant force F = 120.0 N that is parallel to the ramp surface and (a) directed down the ramp, moving the box down the ramp; (b) directed up the ramp, moving the box up the ramp.

Question: A box with mass 10.0 kg moves on a ramp that is inclined at an angle of above the horizontal. The coefficient of kinetic friction between the box and the ramp surface is . Calculate the magnitude of the acceleration of the box if you push on the box with a constant force that is parallel to the ramp surface and (a) directed down the ramp, moving the box down the ramp; (b) directed up the ramp, moving the box up the ramp.

A 5.60 kg bucket of water is accelerated upward by a cord of negligible mass whose breaking strength is 75.0 N. If the bucket starts from rest, what is the minimum time required to raise the bucket a vertical distance of 12.0 m without breaking the cord?

You are a project manager for a manufacturing company. One of the

machine parts on the assembly line is a thin, uniform rod that is 60.0 cm long

and has a mass of 0.400 kg.

(a) What is the moment of inertia of this rod for an axis at its center,

perpendicular to the rod?

(b) One of your engineers has proposed to reduce the moment of inertia by bending the rod at its center into a V-shape, with a 60.0o angle at its vertex. What would be the moment of inertia of this bent rod about an axis perpendicular to the plane of the V at its vertex?

A 30.0-kg crate is initially moving with a velocity that has magnitude 3.90 m/s in a direction 37.0° west of north. How much work must be done on the crate to change its velocity to 5.62m/s in a direction 63.0° south of east?

A block with mass m = 0.300 kg is attached to one end of an ideal spring and moves on a horizontal frictionless surface. The other end of the spring is attached to a wall. When the block is at x = +0.240 m, its acceleration is${\mathit{a}}_{\mathbf{x}}\mathbf{=}\mathbf{-}\mathbf{12}\mathbf{.}\mathbf{0}\mathit{m}\mathbf{/}{\mathit{s}}^{\mathbf{2}}$ and its velocity is${\mathit{v}}_{\mathbf{x}}$= +4.00 m/s. What are (a) the spring’s force constant k; (b) the amplitude of the motion; (c) the maximum speed of the block during its motion; and (d) the maximum magnitude of the block’s acceleration during its motion?

The potential energy of a pair of hydrogen atoms separated by a large distance x is given by $\mathit{U}\mathbf{\left(}\mathit{x}\mathbf{\right)}\mathbf{=}\mathbf{-}{\mathit{C}}_{\mathbf{6}}\mathbf{/}{\mathit{x}}^{\mathbf{6}}$, where ${\mathit{C}}_{\mathbf{6}}$ is a positive constant. What is the force that one atom exerts on the other? Is this force attractive or repulsive?

Two skaters collide and grab on to each other on frictionless ice. One of them, of mass 70.0 kg, is moving to the right at 4.00 m/s, while the other, of mass 65.0 kg, is moving to the left at 2.50 m/s. What are the magnitude and direction of the velocity of these skaters just after they collide?

An electric motor consumes 9.00 kJ of electrical energy in 1.00 min. If one-third of this energy goes into heat and other forms of internal energy of the motor, with the rest going to the motor output, how much torque will this engine develop if you run it at 2500 rpm?