Answer fast . the bottom of a box has a surface area of 25.0 cm 2 . the mass of the box is 34.0 kilograms. acceleration due to gravity at sea level is 9.80 m/s 2 . what pressure is exerted by the box where it rests? a. 1.36 n/cm 2 b. 13.3 n/cm 2 c. 0.139 n/cm 2 d. 7.21 n/cm 2

The speed is 49 cm/s

Explanation:

Given;

mass of the object, m = 0.20 kg

spring constant, k =  10 N/m

amplitude, A = 0.080 m

Total energy of the spring = ¹/₂kA² = ¹/₂ x 10 x (0.08)²

Total energy of the spring = 0.032 J

When its displacement is 0.040 m = half of Amplitude

Applying conservation of energy

Total energy of the spring = PE + KE

0.032 = ¹/₂kA² + ¹/₂mv²

0.032 =  ¹/₂ x 10 x (0.04)² +  ¹/₂ x 0.2 x v²

0.032 = 0.008 + 0.1v²

0.1v² = 0.032 - 0.008

0.1v² = 0.024

v² = 0.24

v = √0.24

v = 0.49 m/s = 49 cm/s

Therefore, the speed is 49 cm/s