Mechanics | Relativity Answers

Given : A= 10m30°East of North; B= 20m 10° North of East and C= 30m NorthWest. Find the Resultant vector using :

A. Parallelogram Method

1. (A+B)+C

2. (C+B)+A

B. Polygon method

1. A+B+C

2. B+C+A

3. C+B+A

C. Component method

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A coil of the turn area S= 200cm² is mounted in a uniform magnetic field B = 8.10^-4 T. There is a current of 20 A in the coil, which has 25 turns. When the plane of the coil makes an angle of 60⁰ with direction of the field, what is the torque tending to rotate the coil?

In Bohr’s model of the hydrogen atom, the electron travels with speed 2.2 x 10⁶m/s in a circle (r= 5.3 x 10^-11m) about the nucleus. Find the value of B at the nucleus due to the electrons motion. Assume vacuum.

A uniform magnetic field, B= 3.0 x 10^-4T in the +x direction. A proton (q=-+e) shoots through the field in the +y direction with a speed of 5.0 x 10⁶m/s.

(a) Find the magnitude and direction of the force on the proton.

(b) Repeat with the proton replaced by an electron.

Two forces acting on a particle. Force A is 3.0 N directed 

north and the other force B is 4.0 N 300 N of E. Find the 

resultant force using Tail-to-Tip, parallelogram, and 

component method.

The horizontal component of a Force of 23 N applied at 38º is.

How could you travel far into the future without aging significantly? Could this method also allow you to travel into the past?

An object with mass 3 kg moving with an initial velocity of 500i m/s collided with and sticks to an object of mass 2 kg with an initial mass of -3j m/s. Find the final velocity of the composite object

a body of mass 80 g is attached to the end of a helical spring with a spring constant of 4500 dynes/cm, and is made to vibrate with an amplitude of 16 cm. calculate the period of vibration, the maximum velocity of the body, and the velocity of the body when it is 10 cm from the equilibrium position

the elastic constant of a helical spring is 9 N/m. a 1 kg body is attached from the spring and is made to move with simple harmonic motion. determine the period of vibration of the body and the acceleration when the body is 40 cm from its equilibrium position if the amplitude is 90 cm