In your own words explain why the force and acceleration vectors in Uniform Circular Motion point inward. Also discuss the differences between Centripetal Force and Centrifugal Force.

Two masses, m1 and m2, are falling but not freely. In addition to gravity, there is also a force F1 applied directly to m1 in the downward direction and a force F2 applied directly to m2 in the horizontal direction. Friction (µs) is present between the two masses and the forces are applied such that they do not rotate. The force F2 is as large as it can be and not have m2 slide relative to m1. (a) Find an expression for the acceleration of the center of mass of the m1 + m2 system in terms of m1, m2, F1, F2, and g? (b) Draw a FBD for each mass separately. Identify motion constraints and Newton's 3rd law force pairs. (c) Write down Newton's 2nd law applied to each mass separately. (d) If both masses are each 2 kg, the coefficient of static friction between the surface is µs = 1/2, and F1 = 25 N, What is the value of F2?

The optimal x-ray energy for producing high contrast images is approximately in the range 20-40 keV. In terms of what we know about how x-rays interact with atoms, discuss the main mechanisms that determine this optimal range and what happens to the images for energies outside this range.?

In one measurement the following values were obtained :

mass of the substance: M=1.3kg,

Power used : P=8.1W

Slope of the Temp vs Time: S=0.027 ^oC/sec.

Knowing that the error on each measured value was 5%

the error on specific heat capacity is (in J/(kg ^oC)

(values may be non-physical )

Determine the following rotational quantities. Make assumptions or estimates where appropriate.

A) What is the magnitude of the angular velocity of the Earth in its orbit around the Sun?

B) What is the magnitude of the angular velocity of a wheel in a car driving on the interstate. (state all assumptions)

C) What is the magnitude of the angular acceleration of a gyroscope that starts out spinning at 53 Hz and takes 7.2 s to slow down to zero?

D) A spinning neutron star, with a period of 4.3 ms, is slowing with an angular acceleration of 2.4x10-8 s-2. How many years will it take for it to stop spinning?

4. A car of mass m is traveling with constant speed v around a circular banked road of radius R, see the

side view and the free-body diagram.
a) Apply Newton’s 2nd law to the car, i.e. write equations for the centripetal, angular, and vertical components of the net force.
b) Determine the angle θ at which the road should be banked so that no static friction is required to drive the car.
Now, include the static friction force FS in the free-body diagram and Newton’s equations.
c) Find the maximum speed vmax at which the car can travel around without slipping. Assume the coefficient of maximum static friction is μs.
In the end, find the expressions for the contact force with which the ground is acting on the car, i.e.:
d) The magnitude of the normal force FN and
e) The magnitude of the static friction FS, in terms of the given quantities m, v, R, g, and θ.

A physics instructor wants to project a spectrum of visible-light colors from 400 nm to 700 nm as part of a classroom demonstration. She shines a beam of white light through a diffraction grating that has 600 lines per mm, projecting a pattern on a screen 2.9 m behind the grating.

How wide is the spectrum that corresponds to m = 1? Express your answer with the appropriate units.

How much distance separates the end of the m = 1 spectrum and the start of the m = 2 spectrum?

a 1.0 x 10³ kg toyota collides into the rear end of a 2.2 x 10³ kg cadillac stopped as a red light. The bumpers lock, the brakes are locked, and the two cars skid forward 2.8 m before stopping. The police officer,knowing that the coefficient of kinetic friction between the tires and the road was .4 calculated the speed of the toyota at impact. What was that speed? Please show the steps that got you to the answer as that is what I am interested in! thanks

As simply as you can but with complete and comprehensive detail, state and explain each of Newtons Three Fundamental Laws of Motion. After you have explained all Three Laws look come up with and explain an example problem of your own. It must include an explanation of how at least one of Newton's laws is used if not more than one. (can not use online sites)

Now let's consider the impulse associated with kicking a soccer ball (Figure 1). The ball has mass 0.40 kg . Initially it moves horizontally to the left at 20 m/s, but then it is kicked and given a velocity with magnitude 30 m/s and direction φ=45∘ upward and to the right. Find the impulse of the force and the average force on the ball, assuming a collision time Δt=0.010s.

angle: 27

Part A:Suppose the ball is moving at 30 ∘ downward from the horizontal before it is kicked. If all the numerical values are the same as before, find the magnitude of the average force on the ball. Express your answer in newtons to two significant figures.

Part B:Find the direction of the average force on the ball found in Part A. Express your answer in degrees to two significant figures.

Suppose that an event occurs in the reference frame S with coordinates x = 2m, y = 0m and z = 0m at t = 4m/c. The frame S’ moves in the positive x-direction with velocity u = 0.2c. The origins of S and S’ coincide at t = t’ = 0. a. Use the Lorentz transformations to find the coordinates of the event in S’. b. Use the inverse transformation on the results of (a) to obtain the original coordinates and time.

The trajectory of a rock thrown from a height with an initial speed of 19.7 m/s is shown in the figure below. Evaluate the magnitude of the gravitational field at the surface of the planet. The planet has no atmosphere.

How do you determine what velocity and angle is needed so that both the x and y displacement are equal to each other at a specific point?

For example if a projectile is launched on a 100m cliff, what velocity and angle is needed so that both the x and y displacement points are equal to 160m?

Which of the following inertial reference frames are proper frames for the two events listed? Choose all that apply.

RED FRAME: Event A happened at a different place than event B.

ORANGE FRAME: Event C happened at (-7 m, 3 m, 4 m) and event D happened at (-7 m, 3 m, 5 m).

YELLOW FRAME: The distance between where event E occurred and where event F occurred was 0 m.

GREEN FRAME: A rocket was traveling at a constant velocity when it passed through a stationary tunnel. Event G was the front of the rocket entering the tunnel and event H was the the front of the rocket leaving the tunnel.

BLUE FRAME: A stationary rocket was engulfed by a hollow cylinder that was moving at a constant velocity. Event J was the front of the rocket entering the cylinder and event K was the the front of the rocket leaving the cylinder.

A pitcher rotates his arm to throw a baseball. The distance from the centre of rotation of the pitcher's arm to his hand is 110 cm and remains constant over the throw. At the start of the throw, the pitcher's arm is already rotating at 0.250 rad/s and it takes him 250 ms to complete the throw. if the arc length that his hand traces over the throw is 2.70m, calculate the transverse velocity of his hand at the end of the throw.