Classical Mechanics Answers

The Millikan Oil Drop Experiment calculated the charge of the electron using the concept of velocity dependent force. When electric field is applied, the upward motion of the particle is given by qE – mg – bv = F where mg is the weight of the charged particle, bv is the retarding force, and qE is the force on the charge due in an electric field. a. Derive the expression for the terminal velocity of the oil drop as a function of time using F= -mg - bv.

A bullet with mass 120g hits a ballistic pendulum with mass 30kg and lodges in it. When the bullet hits the pendulum it swings up reaching the height of 0.25m. Neglecting air resistance, calculate the speed of the bullet. 

A particle is fired at 22 degrees with respect to an incline and then hits a point on the incline as label. If the initial velocity is 15 m/s, a. find the time it takes for the projectile to hit the incline plane. b. find the distance from launching point to the landing point.

Determine the magnitude and direction of the following forces in a 150N box that lies on a 30 degree inclined plane by whose coeffient of kinetic friction is 0.32

Consider a rod of mass 4m and length 2r 

connected to two spheres A and B of identical 

masses m. Balls of mass m fall right above 

sphere A at certain rate that causes the rod 

system to rotate such that, when sphere B 

reaches the position of A it gets hit by a falling 

ball with velocity v. 

1 Calculate the angular velocity of the system ωn+1 after it gets hit by ball 

number n in terms of ωn, v and r. 

2 The rotating system reaches ultimately a constant rotational velocity ω0. 

Express ω0 as function of c and r. 

3 How reaching a constant ω0 is still consistent with conservation of energy. 

4 What would be the ultimate rotational velocity ω0 if the rotating system 

includes two roads making a cross shape, and each end is connected to a 

sphere of mass m.

Hello, I'm trying to create a frisbee game in roblox and I am using a property called BodyVelocity to update the velocity of the frisbee iteratively in a loop. BodyVelocity takes in 3 components: x, y, and z. Given the frisbee's initial velocity, directional vector (unit vector composed of x, y, and z components that communicate direction in the unit sphere), and orientation (angle of attack (vertically) and tilt angle (horizontally)), is it possible to formulate an equation to obtain vx, vy, and vz at any point in time during the frisbee's flight?

A man made satellite of mass 400 kg orbits the Earth with a radius of 8.2 x 10^6 m. Linear speed of the satellite is 6.96 x 10^3 m/s. What is the centripetal force acting on the satellite?

1. Would the operation of the hydraulic press moved to the Moon differ?

2. The small piston of a hydraulic press with an area S1 = 0.001 m2 is subjected to a force F1 = 20 N. What is the magnitude of the force and pressure acting on a large piston with an area S2 = 0.1 m2?

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

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?