Physics Answers

A plane flying in a horizontal path 90m above the ground with a speed of 64 m/s², at what horizontal from the target should the pilot release the projectile?

1. Prove that the area of a parallelogram with sides A and B is |A×B|. 

1. Let the force of gravity to be constant for small distances above the surface of the earth. A body is dropped from rest at a height h above the earth surface. What will be its kinetic energy just before it strikes the ground?   

1. A spaceship of mass m has velocity v in the positive x direction of an inertial reference frame. A mass dm is fired out the rear of the ship with constant exhaust velocity (-v0) with respect to the spaceship. a) using conservation of momentum, show that dv/v0 = dm/m, b) By integration, find the dependence of v on m if v1 and m1 are the initial values. c) Can the acceleration be constant if dm/dt, the burning rate is constant. 

A rocket has an initial mass of 2 x 104 kg, a mass ratio of 3, a burning rate of 100 kg/sec, and an exhaust velocity of 980 m/sec. The rocket is fired vertically from the surface of the earth. How long after ignition of the engines will the rocket leave the ground?  (R1P14-3, 493)

A coupled pendulum system is in a vertical plane (as shown in the figure). Each rod is of mass m and length l and can freely oscillate about the point of suspension. The spring is attached at a length d from the points of suspensions. Write the equation of motion for both the rods and find the frequencies of normal modes. Find out the ratios of amplitudes of the two oscillators for exciting the normal modes.

Here is figure link - https://drive.google.com/file/d/1OMisS3HZ_IYb2Oj7WrgHxxY1V6W06drR/view?usp=drivesdk

An optical fibre is made of glass with a refractive index of 1.55 and is clad

with another glass with a refractive index of 1.51. The fibre has a core

diameter of 50µm and is used at a light wavelength of 0.8 µm.

(a) What NA does the fibre have?

(b) What is the acceptance angle?

Estimate the potential at 2cm from a proton and find the potential difference between two points that are 2cm and 4cm from a proton.

a box is is given a push so that it slides across the floor. How far will it go, given that the coefficient for kinetic friction is 0.15 and the push imparts an initial speed of 3.5m/s?

 Science Life, Earth, or Physical Science related television show or documentary

Current events in science research are usually not covered in science textbooks. This is an area where television, and streaming internet, can be a great resource. One example is the Discovery, PBS show Nature. NOVA and NOVA Science Now are also great shows about current scientific research. If there are any other ideas you have, please check with your teacher before turning in the assignment so that you get full credit.

To complete this extra credit assignment you will need to answer the following questions during or after the program:

● What is the overall topic of the program?

● How does this topic relate to what we have already study in science class

● What is the name of one scientist who was interviewed during the program? I need these questions answered it would be great !