Classical Mechanics Answers

If the Lagrangian L is thus given by L(x, ) =  show that Lagrange’s

 equation of motion becomes

a  harmonic oscillator has Hamiltonian, H=1/2 p^2+1/2 w^2 p^2 . Determine the Hamiltonian equation and the general solution

Tony Rust Race Track is a considered circular with a distance 2b. A participant starts his vehicle managed to increase his speed at a constant rate of a,obtain a simplified expression between velocity and his acceleration as a function of time

1. What happens to the temperature of a substance as it changes from a liquid to a gas?

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).

1. How much energy is required to melt a 0.5kg block of ice?

1. Calculate the specific latent heat of fusion of naphthalene given that 6x10⁵J of heat are given out when 4.0kg of naphthalene at its melting point changes to a solid.

1. How much energy and time does a 2200w kettle require to evaporate 0.5kg of water at 100⁰C? (Specific latent heat of vaporization of water = 2.26x10⁶J/kg)

1. Calculate the amount of heat energy required to melt 0.3 kg of ice at 0 °C.

(Specific latent heat of fusion of ice = 3.34 x 10⁵ J/kg)

1. What is the difference between latent heat of fusion and latent heat of vaporisation of a substance?

An athle run with speed of 12m/s .Determine the longest jump he can take. Solve with complete explanation.

The Earth is on average 150 million km away from the sun calculate its average speed in orbit?

A solid plastic sphere of radius 10 cm has charge with uniform density throughout its volume. The electric field 5 cm from the center is 86 kN/C radially inward. Find the magnitude of the electric field 15cm from the center.

360 kg roller coaster car traveling 18 m/s collides inelastically with a stationary 240 kg car on a section of a horizontal track. To what maximum height, h, do the combined cars traveling cars travel before rolling back down the hill?

If car A is at 40 km/h and car B is at 10 km/h in the opposite direction, what is the velocity of the car A relative to the car B