A solenoid that is 91.4 cm long has a cross-sectional area of 24.8 cm². There are 811 turns of wire carrying a current of 8.08 A. (a) Calculate the energy density of the magnetic field inside the solenoid. (b) Find the total energy in joules stored in the magnetic field there (neglect end effects).

A 74 kg soccer player jumps vertically upwards and heads the 0.45 kg ball as it is descending vertically with a speed of 26 m/s. If the player was moving upward with a speed of 4.0 m/s just before impact, what will be the speed of the ball immediately after the collision if the ball rebounds vertically upwards and the collision is elastic?
If the ball is in contact with the player's head for 20 ms, what is the average acceleration of the ball? (Note that the force of gravity may be ignored during the brief collision time.)

How are the latent and manifest images made in computed radiography?

A person is riding a bicycle, and its wheels have an angular velocity of 22.0 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 12.9 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s2) of each wheel?

A window washer with a mass of 63.0 kg stands a distance, D = 0.600 m, from the left end of a plank of length, L= 2.10 m, with a mass of 19.0 kg. The plank is hung on two cables as shown. Find T₂, the tension in the right cable.

A geosynchronous communications satellite in stationary orbit is used to relay radio messages from one point to another around the earth’s curved surface. Apply Newton’s second law to the satellite to find its altitude in meters above the earth’s surface. R_E = 6.38 × 10⁶ m, m_E = 5.97 × 10²⁴ kg, and G = 6.674 × 10⁻¹¹ Nm²/kg².

Q1. A hand grenade of total mass 5kg explodes into three pieces. Two of them, each of mass 1kg, have velocities of 8m/s with an angle of 43° between them. What is the speed of the third piece?

**well the answer should be 3.9 m/s as per my HW, I just kept getting It wrong, kindly show how to solve for this answer.

Q2. is similar

a hand grenade has a mass of 6kg and It explodes into 3 pieces each of the same mass. two of them go off, each with a speed of 17 m/s with an angle of 60 degrees between their trajectories. what is the speed of the third?

the answer should be 29.4 (as per my homework) I just don't know how to solve It.

determine the potential energy stored in a spring if a force of 28 holds the spring and it has a spring constant of 97 N/m compressed.

please answer in joules and explain how you solved It. (like dumb it down) so that I could learn. thank you!

A proton collides elastically with another proton that is initially at rest. The incoming proton has an initial speed of 4.00e5 m/s. The incoming proton has an initial speed of 4.00e5 m/s and makes a glancing collision with the second proton (at close separations, the protons exert a repulsive electrostatic force on each other). After the collision, one proton moves off at an angle of 30.0 degrees to the original direction of motion and the second deflects at an angle of __ to the same axis. Find the final speeds of the two protons and the angle ___.

v1f = ___
a. 3.46e5

b. 4.46e5

c. 5.46e5

d. 2.46e5

v2f =

a. 5.00e5

b. 4.00e5

c. 3.00e5

d. 2.00e5

angle ____ =

a. 30.0

b. 60.0

c. 90.0

d. 45.0

To get an overview of how a microscope works, complete the description with one of the options provided.

A simple light microscope consists of two lenses: an objective and an eyepiece. The object to be viewed is placed (At any location / at s>f / at s) so that the result is a (Real / Virtual) and (Upright / Inverted) image between the objective and eyepiece.

The image from the objective acts as the (Image / Object) of the eyepiece. It is located at (Any location / sf) so that the resulting image is (Real / virtual) and (Larger / smaller) than the image from the objective

The total magnification is the (Sum / product) of the individual magnifications

A 0.40 kg pendulum bob starts with an initial velocity of 2.0 m/s is released from a height of
0.275 m. It collides at the bottom of its swing with a 1.3 kg ball which is at initially at rest.
(a) Find the speed of the pendulum bob just before it strikes more massive ball at rest.
(b) Assume the collision is elastic. Determine the magnitude and direction of the velocities following
the collision.
(c) Using conservation of energy, determine the maximum height to which ball travels following the
collision.

Snell’s law applies to all waves, not just light. The general form is sin(?1) /?1 = sin(?2) ⁄?2 where ??1 is the speed of the wave in medium 1, and ?2 is the speed of the wave in medium 2.

A. Starting with Snell’s law in its familiar form ??1 sin(?1) = ?2 sin(?2) and the definition of the index of refraction ?≡ ? ⁄ ? for light, derive the general form above.

One of the applications of Snell’s law that is pretty important to the Navy is the effect of thermoclines in the ocean on the sound waves used by sonar systems to find submarines. The oceans typically have thermoclines (sharp changes in temperature, salinity, etc.) at depths of ?~200 ?. The speed of sound above the thermocline is ? = 1510 ?/? and the speed below is ?= 1500 ?/?.

B. For which direction is total internal reflection possible? For sound coming from below the thermocline, or for sound coming from above? Explain your reasoning.

C. What is the critical angle ?? for total internal reflection in this case?

1. Please determine the maximum wind speed for a tropical cyclone with the following wind speeds. NOTE!!! Assume the ambient (external) pressure to be 101.3 kPa (Be sure to remember your units)

(a) Pressure of 90.6 kPa

(b) Pressure of 91.9 kPa

(c) Pressure of 93.8 kPa

(d) Pressure of 97.1 kPa

Determine the minimum and maximum impact parameters bmin and bmax for the classical derivation of charged particle collisional stopping power. Explain the physical meaning of each.