A 2.0 kg mass is projected from the edge of the top of a 20mtall building with a velocity of 24m/s at some unknown angle abovethe horizontal. Disregard air resistance and assume the ground islevel. What is the kinetic energy of the mass just before itstrikes the ground?

tinfoQ

tinfoQ

Answered question

2021-05-10

A 2.0 kg mass is projected from the edge of the top of a 20mtall building with a velocity of 24m/s at some unknown angle abovethe horizontal. Disregard air resistance and assume the ground islevel. What is the kinetic energy of the mass just before itstrikes the ground?

Answer & Explanation

Latisha Oneil

Latisha Oneil

Skilled2021-05-12Added 100 answers

image
Let the angle of projection be θ and initialvelocity be u ms1.
Initial vertical component of velocity =usin0=24sin0
Horizontaal component of velocity =ucos0=24cos0
Eqn. for the vertical component: vv2=[(24sinθ)2+(2)×(9.8ms1)×(20m)]

=576sin2θ+392

The final horizontal component: vh2=576cos2θ

K.E. when the 2 kg mass touches the ground =

(12)m[vv2+vh2]=0.5×(2)×(576sin2θ+392+576cos2θ)

= 968 J

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?