A horizontal clothesline is tied between 2 poles, 10 meters apart. When a mass of 4 kilograms is tied to the middle of the clothesline, it sags a distance of 4 meters. What is the magnitude of the tension on the ends of the clothesline?

T1 = 31.44 [N]

Explanation:

This is a classic static problem, where using Newton's third law we can find the tension at both ends of the clothesline.

In the attached diagram we can find the free body diagram, with the forces acting on the mass.

By summing forces on the X-axis, we can find that both T1 & T2 forces are equal.

Then by summing forces on the Y axis, we can find the T1 tension and this will be equal to the T2 tension value.

In the attached image you can see the equations deduced, by means of the free body diagram.

T1 = 31.44[N]

a longitudinal wave moves energy that is to the direction of the wave’s movement. - true

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.