The angle through which a rotating wheel has turned in time t is given by θ = a t− b t2+ c t4, where θ is in radians and t in seconds

PART A

If a = 9.0 rad/s , b = 15.5 rad/s2 , c = 1.6 rad/s4 , evaluate ω at t = 3.2 s .

Express your answer using two significant figures

PART B

Evaluate α at t = 3.2 s .

Express your answer using two significant figures.

PART C

What is the average angular velocity between t = 2.0 s and t =3.2 s ?

Express your answer using two significant figures

PART D

What is the average angular acceleration between t = 2.0 s and t =3.2 s ?

Express your answer using two significant figures.

Name and explain three ways in which momentum and kinetic energy are not conserved when they should be.

Two students are studying for their upcoming physics exam and discussing the differences between directed motion and random motion. While reviewing the students make the following comments:

Kenny: Directed motion and random motion are two separate things. In directed motion you can use Newton’s Laws to describe the motion of individual objects, but when objects exhibit random motion they are equally likely to move in any direction. For Newton’s laws to apply there must be net movement in a particular direction.

Jesse: I thought that the difference between random motion and directed motion was just a matter of how closely you examine what’s going on. Newton’s Laws still apply for objects undergoing random motion, but it would be really hard to work out all the details.

React to each student’s statement and discuss what you think about random motion. Do Newton’s Laws apply? Can you reconcile Kenny and Jesse’s statements? Note: This is an essay question. Your answer will be judged not solely on its correctness, but for its depth, coherence, and clarity.

1-what can you conclude about the energy of transformation and the conservation of mechanical energy for the motion of a pendulum'.?

Consider the earth moon system quantum mechanically! Treat the earth and moon as point masses.

1. Write down the potential energy function for the earth/moon. Compare it to the potential energy function for the hydrogen atom.
2. What is the “Bohr” radius for the earth/moon system?
3. Estimate the principle quantum number (n) of the earth/moon system.

A hollow spherical metal shell of density 6.90 g/cm³ floats almost completely submerged in water. If the outer diameter of the metal shell is 14.0 cm, what is the inner diameter?

A 2500 kg car encounters a banked, horizontal curve of diameter 240 m. The banking angle is 7.5 degrees, and the coefficient of friction between the tires and the road is 0.80. (a) What is the maximum safe speed of the car? (b) What is the net force on the car in this case?

21.19 Briefly explain what determines the characteristic color of (a) a metal and (b) a transparent nonmetal. (c) Sketch and compare the light-solid interaction (transmission, absorption, and reflection) intensities as a function of wavelength in (a) and (b) cases, explain the differences.

An experiment involving perfect inelastic collision is conducted: two carts with velcro strips are placed on a track attached to a motion sensor. One cart is stationary and the other is pushed slightly towards the cart such that it attaches to the cart that is stationary (via. velcro). Given the following data of the experiment, what is the expected final velocity of the moving object? Compare the expected final velocity to the actual measured one, then determine what the percentage error of it is.

For some reason, I keep getting 0.09918525 m/s, but the percentage error is too high and becomes 56%. What am I doing wrong? Please show work, thank you!

A series RLC circuit connected to a 24-V AC source has a current of 150 mA when the AC source is set to 85 Hz. The voltage on the capacitor is measured to be 36 V. When the frequency of the source is adjusted in any way the current decreases. Calculate the values of R L, and C.

In P4, the frequency of the AC source is increased until the voltage on the capacitor has dropped to 12 V. Calculate the voltage on the inductor at this frequency

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A coin and a ring have the same mass and radius. Starting from rest and the same height, they roll down the same incline. In other words, they both start with the same gravitational potential energy. Which one of the following statements is true about the coin and ring when they reach the bottom of the incline?

what do we need about finding the bond equation in classical mechanics problems?

Two pendulums have the same length but different masses. If m1 is released from the position shown in the figure on the right, how high would the masses reach after the collision (a) assuming a perfectly inelastic collision, and (b) perfectly elastic collision. Use m1(green) = 100g, m2 (purple) = 150g, and angle = 40 degrees, Length 1 & 2 = 0.5 m.