The final speed of the block, after being lifted 2.00 m is 3.39 m/s
<h3>What is speed?</h3>
Speed can be defined as the rate of change in the distance of a body.
To calculate the speed of the block after being lifted 2.00 m, first, we need to calculate the acceleration of the block using the formula below
Formula:
- T-mg = ma......... Equation 1
Where:
- T = Tension in the cable
- m = mass of the cable
- a = acceleration
- g = acceleration due to gravity
Restructuring the formula above,
- a = (T-mg)/m............... Equation 2
From the question,
Given:
- T = 19 N
- m = 1.5 kg
- g = 9.8 m/s²
Substitute these values into equation 2
- a = [(19)-(1.5×9.8)]/1.5
- a = 4.3/1.5
- a = 2.87 m/s²
Finally, to calculate the speed of the block, we use the formula below.
- v² = u²+2as.......... Equation 3
Where:
- v = Final speed
- u = initial speed
- a = acceleration
- s = distance
From the question,
Given:
- u = 0 m/s
- a = 2.87 m/s²
- s = 2.00 m
Substitute these values into equation 3
- v² = 0²+(2×2×2.87)
- v² = 11.48
- v = √11.48
- v = 3.39 m/s
Hence, The final speed of the block, after being lifted 2.00 m is 3.39 m/s.
Learn more about speed here: brainly.com/question/6504879
