A 3kg box accelerated at 2 m/s² upward when pulled vertically by a string. Using g=9.8 m/s², what is the tension on the string?
Given: m=__________
a=___________
g=__________
W=mg= (___________)(____________)=____________
Find the Tension (T).
Solution:
There are two forces that act on the box, the weight (W) of the box and the tension (T) exerted by the rope on the box. In formula,
∑F=ma
Since the box is moving upward, we have
T-W=ma
T-____________=____________
T=___________
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The tension in the string is 23.4 N.
Given,
Mass of the box, m=3kg
Acceleration of the box=2m/s^2 (upwards)
g=9.8m/s^2.
To find,
tension experienced by the string.
Solution:
As the acceleration is upwards so, the sum of the tension and force experienced by the box will be equal to it's weight.
ma+T=mg
3x2+T=3x9.8
6+T=29.4
T=29.4-6
T=23.4 N.
The tension in the string is 23.4 N.
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