A small object with mass 0.200 kg swings back and forth on the lower end of a light rope that is 3.00 m long. The upper end of the rope is attached to the ceiling. As the object swings through its lowest position, where the rope is vertical, the speed of the object is 8.50 m/s. At this point in the motion, what is the tension in the rope?

= 6.8 N

Explanation:

T = mg + ma

T = tension, N

m = mass, kg

g = gravitational force, 9.8 m/s2²

a = acceleration, m/s²

a =( 8.5²) / 3

a = 24.08

T = mg + ma

T = m (g + a)

T = 0.2 ( 9.8 + 24.08)

T = 0.2 ( 33.88)

T = 6.776N

≅ 6.8N

he kicked it 10 feet straight up into the air? i think this works.

speed of light in vacuum is 300,000 km/s

speed of light in other mediums is given by the expression v = c/n, where c is the speed of light in vacuum and n is the refractive index of medium.

for the first medium v = 200,000 km/s

  so, refractive index of medium = 300000/200000 = 1.5

    1.5 refractive index is usually for glass. so first medium is glass.

for the second medium v = 250,00 km/s

so, refractive index of medium = 300000/250000 = 1.2

    1.2 refractive index is usually for water. so second medium is water.

for the third medium v = 0 km/s

so, refractive index of medium = 300000/0 = ∞

    ∞ refractive index is usually for opaque mediums. so third medium is opaque medium.