The Washington Monument is 169.20 meters tall. A worker assigned to the restoration of the Washington Monument is checking the condition of the stone at the very top of the monument. A nickel with a mass of 0.005 kg is in her shirt pocket. What is the kinetic energy (KE) of the nickel in her shirt pocket at the top of the monument?

The kinetic energy (KE) of the nickel in her shirt pocket at the top of the monument is 8.2908 Joules.

Given the following data:

Scientific data:

To calculate the kinetic energy (KE) of the nickel in her shirt pocket at the top of the monument, we would apply the law of conservation of energy.

According to the law of conservation of energy, the kinetic energy (KE) of the nickel is equal to the potential energy (PE) possessed by the nickel at the top of the monument.

Mathematically, this is given by this expression:

Substituting the given parameters into the formula, we have;

K.E = 8.2908 Joules.

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K.E = 8.3 J

Explanation:

The given parameters are

Height h = 169.2 m

Mass m = 0.005kg

From conservation of energy, at the top of the monument, the total energy will be kinetic energy which is equal to the potential energy. That is,

K.E = P.E

And

P.E = mgh

Where g = 9.81 m/s^2

Substitutes all the parameters into the formula

P.E = 0.005 × 9.81 × 169.2

P.E = 8.2908 J

Therefore, the kinetic energy (KE) of the nickel in her shirt pocket at the top of the monument is approximately 8.3 Joule.

and 1and 1

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west