Question #328973

9. A 6.0 kg object (at rest) is released from a height of 80 m. If air resistance is negligible and g = 9.8 N/kg, the kinetic energy of the mass when it is 20 m above the ground is:

(a) 4.7 × 103 J (b) 3.5 × 103 J

(c) 2.4 × 103 J (d) 1.2 × 103 J



1
Expert's answer
2022-04-17T17:08:29-0400

According to the energy conservation law, the total energy at 20 m level its equal to the initial potential energy:


mgh0=mgh+Kmgh_0 = mgh +K

where h0=80mh_0 = 80m is the initial height, h=20mh = 20m is the current height, and KK is the kinetic energy at 20 m level. Expressing KK, obtain:


K=mg(h0h)K=6.0kg9.8N/kg(80m20m)3.5×103JK = mg(h_0-h) \\ K= 6.0kg \cdot 9.8 N/kg\cdot (80m - 20m) \approx 3.5\times 10^ 3J

Answer. (b) 3.5 × 103 J.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS