Classical Mechanics Answers

A string with free boundary caused by stationary waves. The distance of four adjacent nodes is 90cm. If the speed of wave propagation is 45m/s. the frequency of the wave is...

A door is 2.5m tall and 1.4m wide. It has a uniform density and weights 18kg. The door is supported

by two hinges, each 20cm from the top and bottom of the door as shown in the figure. A small child

weighting 30kg decides to start swinging from the doorknob which is 1m from the bottom of the door.

Find the total force (magnitude and direction) applied by each hinge on the door. Door knob is at the edge of the door.

1. Calculate what mass of water can be changed to steam if 10.6kJ of heat energy is supplied to the water at 100⁰C. (Specific latent heat of vaporization of water = 2.26x10⁶J/kg)

1. Ammonia is vaporised in order to freeze an ice rink.

a)  Find out how much heat it would take to vaporise 1 g of ammonia.

    (Specific latent heat of vaporisation of ammonia = 1.34 x 10⁶ J/kg      Specific latent heat of fusion of ice = 3.34 x 10⁵ J/kg).

A 20kg box is at rest on a friction less surface.then,a man pushed the box to a velocity of 3 m/s for 2 s

The moon Titan orbits the planet Saturn with a period of 1.9 × 106 s. The average radius of

this orbit is 1.6 × 109 m.

a) What is Titan’s centripetal acceleration?

b) What is Titans Velocity?

Mars has a radius of 3,390 km and a mass of 6.39 x 1023 kg.

a) What is the gravitational field strength on Mars?

b) How much would a 80kg person weigh on Mars?

Use the mass of the Earth as 6x1024 kg. A 250 kg satellite is in orbit around the Earth 150 km above the Earth=s surface. (Rearth = 6.38 x 106 )

A) What is the gravitational force felt by the satellite?

B) What is the centripetal acceleration?

C) What is the orbital speed of the satellite?

D) What is the satellites period in s? min? hr?

Jake (80kg) and Mike (100kg) are standing 8 meters apart. What is the gravitational force between the two us us?

An amoeba is 0.305cm away from the 0.300cm focal length objective lens of a microscope. (Use the thin lens formula and the magnification formula)

A. Where is the image formed by the objective lens?

B. What is the image magnification?

C. An eyepiece with a 2.00cm focal length is placed 20.0cm from the objective. Where is the final image?

D. What magnification is formed by the Image?

E. What is the overall magnification?

A message signal is modulated on a carrier wave of amplitude 50V

50V using amplitude modulation. The modulation index is given as 50%

50%. Find the amplitude of the AM wave