Questions from Modern Physics

Q: Two uniform solid spheres, each with mass M = 0.

Two uniform solid spheres, each with mass M = 0.800 kg and radius R = 0.0800 m, are connected by a short, light rod that is along a diameter of each sphere and are at rest on a horizontal tabletop. A...

Q: In Fig. P14.85 the upper ball is released from

In Fig. P14.85 the upper ball is released from rest, collides with the stationary lower ball, and sticks to it. The strings are both 50.0 cm long. The upper ball has mass 2.00 kg, and it is initially...

Q: A large, 34.0-kg bell is hung from

A large, 34.0-kg bell is hung from a wooden beam so it can swing back and forth with negligible friction. The bell’s center of mass is 0.60 m below the pivot. The bell’s moment of inertia about an axi...

Q: A slender, uniform, metal rod with mass M is pivoted

A slender, uniform, metal rod with mass M is pivoted without friction about an axis through its midpoint and perpendicular to the rod. A horizontal spring with force constant k is attached to the lowe...

Q: Two identical thin rods, each with mass m and length L

Two identical thin rods, each with mass m and length L, are joined at right angles to form an L-shaped object. This object is balanced on top of a sharp edge (Fig. P14.88). If the L-shaped object is d...

Q: A mass m is attached to a spring of force constant 75

A mass m is attached to a spring of force constant 75 N/m and allowed to oscillate. Figure P14.89 shows a graph of its velocity component vx as a function of time t. Find (a) the period, (b) the frequ...

Q: You hang various masses m from the end of a vertical,

You hang various masses m from the end of a vertical, 0.250-kg spring that obeys Hooke’s law and is tapered, which means the diameter changes along the length of the spring. Since the mass of the spri...

Q: Experimenting with pendulums, you attach a light string to the ceiling

Experimenting with pendulums, you attach a light string to the ceiling and attach a small metal sphere to the lower end of the string. When you displace the sphere 2.00 m to the left, it nearly touche...

Q: For a spherical planet with mass M, volume V, and

For a spherical planet with mass M, volume V, and radius R, derive an expression for the acceleration due to gravity at the planet’s surface, g, in terms of the average density of th...

Q: Many people believe that orbiting astronauts feel weightless because they are “

Many people believe that orbiting astronauts feel weightless because they are “beyond the pull of the earth’s gravity.” How far from the earth would a spacecraft have to travel to be truly beyond the...