While a roofer is working on a roof that slants at 36.0 ° above the horizontal, he accidentally nudges his 86 0 N toolbox, causing it to start sliding downward, starting from rest If it starts 4.00 m from the lower edge of the roof, how fast will the toolbox be moving just as it reaches the edge of the roof if the kinetic friction force on it is 22.0 N?

Explanation:

mass of the toolbox = 86 / 9.8

= 8.775 kg

Net force acting on the toolbox down the roof

= mgsin36 - kinetic friction

= 86 x .5877 - 22

= 28.54 N

acceleration of box = 28.54 / 8.775

a = 3.25 m /s²

v² = u² + 2 a s

u = 0 , a = 3.25 , s = 4 m

v² = 2 x 3.25 x 4

v = 5.1 m / s

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.