Question

A string is attached to a ball that has a mass of 0.11 kg. A student pulls up on the string so that the ball accelerates upward at 0.5 m/s2. What is the tension in the string? (Take the magnitude of acceleration due to gravity to be 9.8 m/s2.)
(Hint: How do all the forces involved interact with each other?)

Answer 1

Answer:

T=+1.133N

Explanation:

Tension and weight are forces that have opposite directions

Weight is negative (downward)

W=m*g= 0.11kg*(-9.8m/s^2)

W= -1.078N

Tension is possitive (upward)

The total force will be the sum of both (the difference taking in consideration the direction)

Ft= T+W

Also the total force is the product of the mass due to acceleration:

Ft=m*a

Ft= +0.11kg*0.5m/s^2

Ft=+0.055N (upward)

Tension will be the difference between Ft and W:

T= Ft-W

T=+0.055N-(-1.078N)

T=+1.133N