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A steel cable lying flat on the floor drags a 20 kg block across a horizontal, frictionless floor. A 110 N force applied to the cable causes
Question
A steel cable lying flat on the floor drags a 20 kg block across a horizontal, frictionless floor. A 110 N force applied to the cable causes the block to reach a speed of 3.9 m/s at a distance of 1.9 m. What is the mass of the cable?
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Physics
4 years
2021-08-26T05:23:37+00:00
2021-08-26T05:23:37+00:00 1 Answers
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Answer:
The answer is;
The mass of the cable is 7.428 kg
Explanation:
Force = 110 N
Mass of block = 20 kg
velocity = 3.9 m/s
We apply the law of motion which is
v² = u² + 2·a·s
Where a = acceleration
s = distance = 1.9 m and
u = initial velocity = 0 m/s
v = velocity = 3.9 m/s
∴ v² = 2·a·s
3.9² = 2×1.9×a which gives
a = 4.003 m/s²
F= m×a
Where F= Force = 110 N
m = mass
a = acceleration = 4.003 m/s²
∴ m = F/a = 110/4.003 = 27.482 kg
Since the mass of the block = 20 kg
Mass of cable + block = 27.482 kg
Mass of cable = 27.428 kg – mass of block = 27.428 kg – 20 kg = 7.428 kg
Mass of cable = 7.428 kg