Prove velocity in a rotational frame.

1. Write a description of all Newton’s Law, including any equations associated. For each law, provide a real-life example.

1) How do we know that an object performs a simple harmonic motion?
2) Is the movement of a pendulum a simple harmonic movement? Explain
3) Are there other types of pendulums that perform a MAS? Explain each

A runaway train speeds horizontally off a 500.0-m-high cliff. Ignore air resistance for all parts. (a) How long does the train spend in the air? (b) How fast did the train leave the cliff top to land on level ground below, 900.0 m from the base of the cliff? Give your answer in miles per hour. (c) What is the velocity (magnitude and direction) of the train 5 seconds after leaving the cliff? Give your answer with respect to the positive x-axis.

If we recreated the scene from Fast & Furious 7 and dropped a Challenger SRT® Hellcat Redeye Widebody from a C-130 aircraft at 5,280 ft, how much horsepower would it take to drive past it before it hits the ground if you’re 1 mile away? Pro Tips Air density @ sea level, 59 degrees, no wind = p = .002377 slugs/ft^3 Coefficient of drag (flat plate, NASA) = C(d) = 1.28 Weight = W = 4451 lbs Gravitation constant = g = 32.2 ft/sec^2 Area = A = 197.5"" long x 78.2"" wide x (1 ft^2/ 14 in^2) Vehicle falls flat, wheels 1st, straight down, at constant acceleration with no aerodynamic drag until terminal velocity Horsepower needed to accelerate is AVERAGE - not peak 100% driveline efficiency

A cannonball is launched with a velocity of 52.5 ms at an angle of 47.2◦ above the horizontal on a flat firing range. Ignoring air resistance for every part, determine (a) the maximum height reached by the cannonball, (b) the total time in the air, (c) the total horizontal distance covered, (d) and the speed and direction (angle) of the cannonball 1.50 s after firing.

Proton moving with V=2*106 m/s speed in a magnetic field of B=3T is under the effect of 4*10-12 N force. What is the angle between the magnetic field and the velocity of the proton.

A 0.100 mm-wide slit is illuminated with plane waves from a helium-neon laser of wavelength 0.699 microns. Find the distance from the zeroth-order maximum to the first two irradiance nulls in mm when the pattern is observed on a wall Z=1.0m away.

What is harmonic vibration? Why we needed it ?

. A jeep is traveling on a straight road and it leaves a junction at time t = 0 second. It is then accelerates at 4 m/s 2 for 4 seconds. Suddenly, when the driver shifting the gears, there is no acceleration of the jeep for 1 second. After that, it is continue to accelerates at 5.5 m/s 2 for 5 seconds and maintain the speed it reached. On the other hand, a car leaves at the same junction as jeep at time t = 0 second. The car accelerates from rest to 25 m/s in 20 seconds and then maintain the speed of 25 m/s. The car passes the jeep as they both pass a traffic light. (i) Sketch speed vs. time graph to illustrate the motion of the jeep and the car by using same diagram. (ii) Find the distance of the traffic light from the junction. (iii) After 4 seconds from the constant speed, both jeep and car decelerates to rest in T seconds. Determine the value of T. (iv) If the car in this motion has zero speed at some instant in time, is the acceleration necessarily to be zero at the same instant? Prove your answer with some calculation example. (3