U need to set up n solve the general eqn for simple harmonic motion:
x" = -(k/m)x
solution is x(t) = (x0)*cos(wt) + (v0/w)*sin(wt)
where w=sqrt(k/m), x0 is x-position at t=0 and v0 is vel at t=0
u already calculated f in Q.2 and w = 2*pi*f
x0 is 0 as it starts at eqm
v0 is given at 5.1
so u have x(t)
vel is given by x'(t) = (x0)*(-w)*sin(wt) + (v0/w)*w*cos(wt)
substitute t=0.32, x0=0, v0=5.1 n w in the above, u can solve for v at t=0.32.
The correct answer should be kinetic molecular velocity. Which is a
complex term for the speed of molecules. The faster the molecules move
the more liquid the chemical will be, with the fastest being gaseous
molecules. The slowest ones are things that are solid. This is easily
observed on water that is slowest when ice and fastest when water vapor.
Answer: The answer is 716.8 km/hr
Explanation:
The main idea here is the convert the given units to km and hr. Here's the conversion factors.
1mi= 1.6km
1hr= 60min
We have to multiply 335miles by 1.60km/mi in order to get the answer in km then again we have to multiply 45 minutes by 1hr/60min in order to get the answer in hr.
The last step is to calculate the speed using the formula : v=d/t
=537.6km/0.75hr
=716.8km/hr
The amount of potential energy the block contains is 2,822.4 Joules
<u>Given the following data:</u>
- Height of platform = 24 meters.
We know that the acceleration due to gravity (g) of an object on planet Earth is equal to 9.8
.
To determine the amount of potential energy the block contains:
Mathematically, potential energy (P.E) is given by the formula;

Where:
- g is the acceleration due to gravity.
- h is the height of an object.
Substituting the parameters into the formula, we have;

Potential energy (P.E) = 2,822.4 Joules
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