You pour 100 g of cold milk (T_m=5 degrees C) into your 500 g hot coffee (T_c=80 degrees C) and mix them together. Assume this is an isolated system in which no heat is lost to the cup or surrounding air. Specific heat of milk: c_m= 3.97 J/(g°C), specific heat of coffee: c_c= 4.184 J/(gºC)

a. What is the final temperature of your drink after the milk and coffee are in thermal equilibrium?

b. What happened to the temperature of the milk? What happened to the temp of the coffee?

please answer both parts of the question!

An RLC series circuit has a 2.60 Ω resistor, a 200 µH inductor, and an 82.0 µF capacitor.

(a) Find the circuit's impedance (in Ω) at 120 Hz.

________Ω

(b) Find the circuit's impedance (in Ω) at 5.00 kHz.

________Ω

(c) If the voltage source has V_rms = 5.60 V, what is I_rms (in A) at each frequency?

I_{rms, 120 Hz}= _______A

I_{rms, 5.00 kHz}= _______A

(d) What is the resonant frequency (in kHz) of the circuit?

________kHz

(e) What is I_rms (in A) at resonance?

________A

1. How much heat energy is required to cool 450 grams of water at 20°C into ice at -20°C?

Given a liter of water just at boiling, how much energy does it take to boil it all?

A large boat with 91.44 m in length and 42.672 m in width is carrying 1,360,777.11 kg of coal along the river with a 2.7432m draft (the height from waterline to bottom of the boat). What is the draft and weight of the boat when the boat is empty (no coal)? What is the draft and weight of the boat if the boat hits a wave and looses 10 tons of coal? Treat the boat as a rectangular cylinder. Use university introductory physics techniques.

A 40.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time.
(a) At t = 2.45 s, find the angular speed of the wheel.

(b) At t = 2.45 s, find the magnitude of the linear velocity and tangential acceleration of P.
What is the linear velocity?
What is the tangential acceleration?   

(c) At t = 2.45 s, find the position of P (in degrees, with respect to the positive x-axis).
what is the answer ° counterclockwise from the +x-axis?

One possible means of achieving space flight is to place a perfectly reflecting aluminized sheet into Earth

1a. On planet #4, you fire a projectile from the ground at an initial speed of 29.7 m/s at an angle of 44.7 degrees above the horizontal. The projectile lands 36.1 m away from the launch point. What is the value of g for planet #4?

b. On planet #5, a stone dropped from a height of 44.4 m above the ground will hit the ground at a speed of 43.2 m/s. What is the value of g for planet #5?

c. You launch a projectile with an initial speed of 56.0 m/s from the top of a building 76.3 m above the ground, at an angle of 25.8 degrees above the horizontal. How far from the base of the building does the projectile land on the ground?

A simple pendulum with mass m = 1.5 kg and length L = 2.49 m hangs from the ceiling. It is pulled back to an small angle of θ = 9.5° from the vertical and released at t = 0.

What is the magnitude of the force on the pendulum bob perpendicular to the string at t=0?

What is the maximum speed of the pendulum?

What is the angular displacement at t = 3.67 s? (give the answer as a negative angle if the angle is to the left of the vertical)

What is the magnitude of the tangential acceleration as the pendulum passes through the equilibrium position?

What is the magnitude of the radial acceleration as the pendulum passes through the equilibrium position?

Which of the following would change the frequency of oscillation of this simple pendulum?

increasing the mass

decreasing the initial angular displacement

increasing the length

hanging the pendulum in an elevator accelerating downward

Sketch a blackbody radiation spectrum for a hot object and a cold object. What two things differ between the two spectra? Explain, using an illustration, what the spectrum looks like for an object that is not a blackbody.

Three 81.6 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters. Mass A is located at (0,0) , mass B is at (12.2,22.5) , and mass C is at (21.3,13.4) . Find the ? - and ? ‑coordinates of the center of mass of the triangular object. A graph has a vertical Y axis and a horizontal X axis. Three masses are shown. Mass A is located at (0,0), mass B is at (12.2,22.5), and mass C is at (21.3,13.4). ?cm= cm ?cm= cm Two more 81.6 g masses are connected by a straight piece of wire and affixed to the original configuration as shown. The coordinates of mass D are (0,−27.0) and the coordinates of mass E are (0,27.0) . Find the ? - and ? ‑coordinates of the new center of mass of the combined object. A graph has a vertical Y axis and a horizontal X axis. Five masses are shown. Mass A is located at (0,0), mass B is at (12.2,22.5), mass C is at (21.3,13.4), mass D is at (0, -27.0), and mass E is at (0, 27.0). ?cm= cm ?cm= cm

What are the core concepts and methods of Kinematics?

What are the core concepts and methods of Dynamics?

What are the core concepts and methods of Work-Energy relationships?

How all of the above are related?

How consideration of others perspectives changed or improved your thinking on all of the above?

1. A 1400 kg car goes around a corner with a radius of curvature= 60m.

a) if the coefficient of static friction between the tires and the roads is 0.800 what is the maximum speed the driver can go before skidding. the curve is unbanked/flat.

2. A 2.40kg uniform rod of length of .750m rotates about its center. At t=0, its angular speed =2.50 rad/sec. It smoothly increases its rotation rate with an acceleration a=1.50 rad/s^2

a) what is its angular speed at t=6.50 seconds

b) how many radians would a spot on the rod have gone during those 6.50 seconds

c) what is the linear speed at t=6.50 seconds at the spot at the end of the rod

d) find the force that would need to be applied tangentially to the end of the rod have this acceleration

A 5.80 x 103 kg delivery truck moving with a velocity of 20 m/s hits a 1.50 x103 kg parked car. As a result of the impact, the car was set in motion at 31.8 m/s. (Assume the car –truck to be an isolated system) (a) Sketch the situation. (b) Find the velocity of the truck immediately after the collision; (c) Find the kinetic energy of the car-truck system before and after the collision. (d) Is the car-truck collision elastic or inelastic? Explain (e) What is the change in momentum of the car? Assuming the collision time to be 2 seconds, how much average impact force did the car experience? (f)What is the change in the momentum of the truck? Solve for the impact force experienced by the truck.

Two pucks are sliding across a frictionless surface. Puck A has a mass of .330 kg and a velocity of 5.50 m/s in the x direction. puck be has a mss of .440 kg and a velocity of 6.60 m/s in the negative x direction.

the pucks collide an bounce of each other. after the collision puck a has a velocity of 1.10 m/s in the positive y-direction. What are the x and y components of the velocity of puck ba fter the collision.