Find a single machine that will do the same job as the given hook-up
a (× 2⁴) machine followed by (× (1/2)²) machine.
Solution:
Given, two machines are hooked up.
a (× 2⁴) machine followed by (× (1/2)²) machine.
We have to find a single machine.
We know that, when two machines are hooked up their stretching power is multiplied.
Stretching power = (× 2⁴) × (× (1/2)²)
2⁴ = 2 × 2 × 2 × 2
= 4 × 4
= 16
(1/2)² = 1/2 × 1/2
= 1/4
Stretching power = 16 × 1/4
= 16/4
= 4
We know, 4 = 2²
Therefore, (× 2²) does the same work as a (× 2⁴) machine followed by (× (1/2)²) machine.
✦ Try This: Find a single machine that will do the same job as the given hook-up
A (× 3⁴) machine followed by (× (1/3)³) machine.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12
NCERT Exemplar Class 8 Maths Chapter 8 Problem 158(b)
Find a single machine that will do the same job as the given hook-up a (× 2⁴) machine followed by (× (1/2)²) machine
Summary:
A single machine that will do the same job as a (× 2⁴) machine followed by (× (1/2)²) machine is (× 2²).
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