Classical Mechanics Answers

A body of mass m is on a weightless spring (with the spring constant k)
suspended on the ceiling of an elevator car. At the time t = 0 starts
to move the car up with an acceleration a. Find that
Law of motion of the body y (t) concerning the elevator car, if ¨y (0) = 0 and
y˙ (0) = 0. Consider the two cases:
(a) a = const,
(b) a = bt, where b = const.

A babysitter is pushing a child on a swing, at the point where the swing reaches x where would the corresponding point on a wave of this motion be

What is the guage pressure of the gas in the closed tube in the figure? Take the atmospheric pressure to be 76cm hg

in a damped oscillator m = 250g , k=85N/m, and b = 0.070kg/s. in how many periods of oscillation will the mechanical energy of the oscillator drop to one-half of this initial value?

Is it true or wrong to say that an object with zero acceleration has velocity? Either yes or no explicate it with example.

Can we say that an object with zero velocity have acceleration? Either yes or no explicate it with example.

Is it wrong or correct to say that, if an object has constant acceleration, it has a constant velocity? Either yes or no explicate it with example.

Question No. 2
Estimate the soccer ball‘s speed immediately after being kicked off if its mass is 0.5Kg as shown in the given figure.

F . . . F=250N
∆x= 0.20m
F= 256N
V= ?

A boat moves with a speed of 5 km/hour relative to water in a river flowing with a speed of 3 km/hour and having a width of 1 km. The minimum time taken around a round trip is ?

A wheel of mass 16 kg and radius 4m is rotating at 360 rpm, find its moment of inertia I=MR^2

An H2 molecule can be formed in a collision that involves three hydrogen atoms. Suppose that before such a collision, each of the three atoms has speed 4000 m/s , and they are approaching at 120 ∘ angles so that at any instant, the atoms lie at the corners of an equilateral triangle. Find the speeds of the H2 molecule and of the single hydrogen atom that remains after the collision. The binding energy of H2 is Δ=7.23×10−19J, and the mass of the hydrogen atom is 1.67×10−27kg.

Hi! Was wondering how you would solve this problem...here is the link

https://www.albert.io/learn/ap-physics-1-and-2/unit-4-energy/energy-of-descending-objects/kinetic-energy-on-mars

Let me know! Thanks :)

im trying to find where the center of mass of a rectangular table made up from a thin homogeneous plate of 1.2m by 2.3m weighing 8.5kg. It has 4 thin rod shaped legs on its corners. They are homogeneous and have a height of 58cm and weigh 1,7kg each.