1. A bowler throws a bowling ball of radius 11cm down a bowling lane. It has an initial linear velocity of 8.8 m/s, but no initial angular velocity. The kinetic friction force causes both linear acceleration and an angular acceleration; the kinetic friction coefficient between the ball and the floor is 0.1. When the balls linear speed has decreased enough and the ball’s angular speed has increased enough there will come a moment when the ball’s contact point with the floor is no longer skidding on the floor; at the critical moment the friction forces vanishes. After this moment the linear and angular velocities are constant.
   1. How long does the ball slide?
   2. How far does the ball slide?
   3. What is balls linear speed when smooth rolling begins?

A spherical virus has a diameter of 60 nm. It is contained inside a long, narrow cell of length 1×10−4m1×10−4m. What uncertainty does this imply for the velocity of the virus along the length of the cell? Assume the virus has a density equal to that of water.

1. A block-spring oscillator on a frictionless table has k = 125 N/m and block mass = 0.5kg; the block is oscillating back and forth and its initial position (i.e. when t = 0 sec) is when the spring is compressed to a maximum amount of 1.25 m:

a) In 10 seconds how many times does the block oscillate back and forth?

b) What are the maximum kinetic energy and the maximum velocity of the block?

c) Where is the block located on the x axis when its KE is ¾ of the maximum PE?

d) What is the acceleration of the block when its KE is ¼ the maximum KE?

How much heat energy is required to liquify a 4.40-g ice cube at -6 °C? (heat of fusion of ice is 333 000 J/kg, specific heat of ice is 2090 J/kg⋅°C

Please help me understand by showing the work.

A solid, homogeneous sphere with a mass of m₀, a radius of r₀ and a density of ρ₀ is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the same. Combination answers like 'f or s' are possible answers in some of the cases.

1. The new sphere has a radius of r > r₀ and a density of ρ = ρ₀.
2. The new sphere has a mass of m < m₀ and a density of ρ = ρ₀.
3. The new sphere has a mass of m = m₀ and a radius of r > r₀.

4. The new sphere has a density of ρ < ρ₀ and a radius of r = r₀.
5. The new sphere has a mass of m = m₀ and a radius of r < r₀.
6. The new sphere has a radius of r = r₀ and a mass of m < m₀.

7. The new sphere has a mass of m > m₀ and a density of ρ < ρ₀.
8. The new sphere has a density of ρ < ρ₀ and a radius of r > r₀.
9. The new sphere has a mass of m < m₀ and a radius of r > r₀.

A baseball leaves the bat 1.5m above the ground traveling at 100mph at an angle of 27 degrees above the horizontal. There is a 3.1m high fence 14m a. Assuming air resistance is negligible on which side of the fence does the baseball first hit? b. How far from the fence does it first make impact?

A baseball leaves the bat 1.5m above the ground traveling at 100mph at an angle of 27 degrees above the horizontal. There is a 3.1m high fence 14m
a. Assuming air resistance is negligible on which side of the fence does the baseball first hit?
b. How far from the fence does it first make impact?

An electron is trapped in an infinitely deep one-dimensional well of width 0.288 nm. Initially the electron occupies the n = 4 state. (a) Suppose the electron jumps to the ground state with the accompanying emission of a photon. What is the energy of the photon? eV (b) Find the energies of other photons that might be emitted if the electron takes other paths between the n = 4 state and the ground state. 4 → 3 in eV 4 → 2 in eV 3 → 2 in eV 3 → 1 in eV 2 → 1 in eV

In an attempt to escape from a deserted island, a castaway builds a raft and sets sail for the sea. The wind changes a lot during the day and flies along the following straight lines: 2.60 km and 45.0 ° north of west, then 4.80 km and 60.0 ° south of east, then 1.60 km and 5.00 ° east of north, and finally 2.70 km and 13.0 ° north of the east. Use the analytical method to find the resulting vector of all its displacement vectors. What is its magnitude and direction?

We are introduced to the magnetic field as a way to keep track of the force that arises from lenght contraction in special relativity. A moving distribution of charge becomes more dense in the right frame. So in a way, the magnetic field is just the E-field. However, when I glance over the physics of permanent magnets, it is said that their magnetic field arises from the integral sum of their electrons with aligned spin(which generates a magnetic moment).Spin is quantized fundamental property of elementary particles, analoguous(but not the same as) angular momentum of rotation.(Point like particles don't rotate).So what is the magnetic field? How do these two views are reconciled?

One long wire carries current 32.0 A to the left along the x axis. A second long wire carries current 58.0 A to the right along the line (y = 0.280 m, z = 0).

(a) Where in the plane of the two wires is the total magnetic field equal to zero?

(b) A particle with a charge of −2.00 µC is moving with a velocity of 150î Mm/s along the line (y = 0.100 m, z = 0). Calculate the vector magnetic force acting on the particle. (Ignore relativistic effects.)

(c) A uniform electric field is applied to allow this particle to pass through this region undeflected. Calculate the required vector electric field.

a steering wheel  whose diameter is 2.44m has an angular velocity that decreases uniformly from 100 rpm at t = 0, until it stops when t = 4s. calculate tangential and normal acceleration of a point located on the edge of the steering wheel when t = 2s

A 8.71 kg block is sliding along a smooth surface at 11.4 m/s. It travels up a smooth ramp, and comes to a stop. How high above the ground is it when it stops? Report your answer in meters, rounded to two decimal places

I attach a 3.06 kg mass to a spring with a spring constant of 72 J/m² and compress it 0.02 m. What is the speed the mass reaches when launched horizontally? Report your answer in m/s, rounded to two decimal places

A 10 g bullet is fired with 450 m/s into a 10 kg block that sits at rest on a wooden table 20 cm from the edge of the table. The bullet gets embedded in the block (perfectly inelastic collision). The block, with the embedded bullet, then slides to the edge of the table and drops down with some initial velocity while leaving the edge of the table. The coefficient of kinetic friction between the block and the surface of the table is k = 0.2. If the table is 1 m high, how far from the point directly below the table’s edge does the block land?

Challenges in the current fiber laser technology.

If you have references, please add them to your answer, many thanks!