Can a single force applied to a body change both its translational and rotational motion? Explain and provide two different examples.

3) (a) Consider what happens when you push both a pin and the blunt end of a pen against your akin with the same force. Decide what determines whether your skin is cut

Derive, from the concept of the total energy of a system, the total energy of an oscillating system in terms of k and amplitude. (show all steps begging to end on how you get the equation and answer)

The Space Shuttle travels at a speed of about 7.8 ✕ 10³ m/s. The blink of an astronaut's eye lasts about 120 ms. How many football fields (length = 91.4 m) does the Shuttle cover in the blink of an eye?

_____Football Fields

Two sound waves (call them X and Y) travel through the air. Wave X has a wavelength of 0.1 m and a pressure amplitude of 0.04 Pa. Wave Y has a frequency of 3430 Hz and a pressure amplitude of 4 Pa.

Fill in the following:

The intensity of Y is greater than  that of X by ............... times.

Soundwave Y is ................. dB louder than soundwave X.

A box is allowed to slide a distance d down a ramp a constant speed while being pushed by a horizontal force, Fa. The mass of the box is m. The ramp is inclined at an angle of above the horizontal. If the coecient of kinetic friction between the box and the ramp is k, how much work is done by the horizontal force as the box moves a distance d down the ramp? Your answer should only contain the parameters m, d, , k, and the physical constant g.

An EM wave traveling through a vacuum has a frequency of 7.97×1014 Hz. Determine the WAVELENGTH of the wave. Remember, the speed of light is 3×108 m/s. ANS:_________m/wave

Two point charges are fixed on the y axis: a negative point charge q1 = -27 µC at y1 = +0.20 m and a positive point charge q2 at y2 = +0.30 m. A third point charge q = +8.0 µC is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 19 N and points in the +y direction. Determine the magnitude of q2.

I have to write a lab report on "Measuring the value of g". For the theory section, I have to predict my theoretical value for "g " and its uncertainty. Explain how did I arrive to those numbers (do not quote someone else's value for "g").

Does anyone have an idea of how can I do this? Thanks a lot.

On a frictionless surface, a block of mass m1 and velocity v1 = vi is moving to the right when it collides with a spring, of spring constant k, attached to the left side of a stationary block of mass m2. Both blocks are free to slide on the surface.

(a) Argue either from physical principles or with equations that the velocities of the two blocks are the same when the spring is at its maximum compression.

(b) What is the maximum compression of the spring, xmax?
(c) In terms of m1,m2, and v, what are the final velocities of the two blocks after

they finish interacting?

a 0.1 kg ball traveling at 20m/s is caught by a catcher. in bringing the ball to rest, the mitt recoils for 0.01s. the absolute value of the average force applied to the ball by the glove is

In an experiment designed to measure the speed of light, a laser is aimed at a mirror that is 52.0 km due north. A detector is placed 107 m due east of the laser. The mirror is to be aligned so that light from the laser reflects into the detector.

(a) When properly aligned, what angle should the normal to the surface of the mirror make with due south?

(b) Suppose the mirror is misaligned, so that the actual angle between the normal to the surface and due south is too large by 0.005

In the earth's reference frame, a tree is at the origin and a pole is at x=31km. Lightning strikes both the tree and the pole at t=13?s. The lightning strikes are observed by a rocket traveling in the x-direction at 0.6 c.

What are the spacetime coordinates x? tree, x? pole for these two events in the rocket's reference frame?

What are the spacetime coordinates t? tree, t? pole for these two events in the rocket's reference frame?

1. Star with Newton's third law: dp/dt = ΣF where p is the momentum. In space, the sum of the external forces ΣF = 0. For a rocket in space, the mass and velocity change with time as the rocket expends its fuel. Show from Newton's third law that ΔV = v ln(m/M) where m is the initial mass of the rocket, M is the final mass of the rocket after the fuel is expended, v is the rocket's exhaust velocity and ΔV is the change in the velocity for the rocket

2. Now, the rocket needs to get to escape velocity to get to the moon. Use conservation of energy to derive an expression for the escape velocity. If we start at 200km above the surface of earth, calculate the ΔV we need to escape from Earth and get to the moon.

3. Finally, use the earlier Rocket Equation calculate the fraction of the initial rocket's mass that is dedicated to fuel to make the journey from the Earth to the Moon. In this case, v is 4500 m/s.