A4.0 kilogram object is dropped from a height of 1.0 meter onto a spring with a spring constant of 850 newtons per meter. approximately what distance will the spring compress when the object lands on it? (1) 3.0 dm

(2) 9.0 cm

(3) 9.0 mm

(4) 2.0 dm

show calculations

(1) 3.0 dm

Explanation:

Due to the law of conservation of energy, the initial gravitational potential energy of the object will be all converted into elastic potential energy of the spring as the object hits the spring:

where

m = 4.0 kg is the mass of the object

g = 9.8 m/s^2 is the acceleration due to gravity

h = 1.0 m is the initial height of the object

k = 850 N/m is the spring constant

x is the compression of the spring

Solving the equation for x, we find:

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.