Classical Mechanics Answers

A certain man has a mass of 80kg and a density of 955kg/m³ (excluding the air in his lungs).

A.) Calculate his volume.

B.) Find the buoyant force air exerts on him

C.) What is the ratio of the buoyant force of his weight?

You drive 7.50km in a straight line in a direction 15 degrees east of north.

A.) Find the distances you would have to drive straight east and than straight north to arrive at the same point. (This determination is equivalent to find the components of the displacement along the east to north directions).

B.) Show that you still arrive at the same point if the east and north legs are reversed in order. Give a sketch and show in equation form.

Bowling ball that is rolling has a mass of 4kg at a speed of 12m/s and reaches a height of 3.5 meters how much work did friction do?

Two blocks of mass 0.30 kg and 0.20 kg are moving toward each other along a frictionless horizontal surface with velocities of 0.50 m.s–¹ and 1.00 m.s–¹, respectively. Find the final velocity and direction of each block after collision if the collision is elastic. A complete solution is one with labeled diagram showing the blocks before and after collision.

A 2—kg ball B travelling at 22 m.s–¹ overtakes a 4—kg ball travelling in the same direction at 10 m.s—¹. Find the velocity of each ball after collision

.A bead slides on a smooth rod which is rotating about one end in a vertical plane with uniform angular velocity Omega .form the equation of motion ?

water flows through a pipe with a cross-sectional area of ​​2 dm ^ 2 which forms a 90 degree bend. the speed of the water in and out of the pipe section is 5cm / s (over the entire cross-sectional area). specify the size and direction of the external force needed to hold the pipe still?

A certain oscillator satisfies the equation of motion: 𝑥••+ 4x = 0. Initially the particle is at 

the point x = √3 when it is projected towards the origin with speed 2.

2.1. Show that the position, x, of the particle at any given time, t, is given by:

x = √3 cos 2t – sin 2t. (Note: the general solution of the equation of motion is given by: x 

= A Cos 2t + B Sin 2t, where A and B are arbitrary constants)

A length of copper wire was measured with a tape measure to give a length of 50.0m with an uncertainty of 1 cm. The thickness of the wire was measured to be 1.00mm,using a micrometer screw gauge. Calculate the volume of the copper used?

1. two bodies have the masses m and M, respectively. They move from the beginning with the velocity v directed in the positive direction and v directed in the negative x direction.  the masses then collide in a completely inelastic shock and form a body with the mass M + m.  no rotation takes place after the impact.  how much of the kinetic energy is lost in the impact?
2. when observing an object through a magnifying glass, the observed object must be placed within the focal length of the lens.  we denote the focal length f, and the distance of the object from the lens b (f> b).  what is the ratio between the size of the virtual image and the size of the object?