Answer :
The acceleration is 5.99 m/s²
The force between the blocks would then be 7.62 N
How to solve for the acceleration
To find the acceleration of the system, first sum up the mass of the two blocks:
2.0 kg + 7.5 kg
= 9.5 kg.
Also, sum up the forces acting against the system, which would be the gravitational force:
(2.0 kg + 7.5 kg) * 9.8 m/s²
= 93.1 N. The net force is then
150.0 N - 93.1 N
= 56.9 N.
a) To find acceleration, use
F = m * a. So,
a = 56.9 N / 9.5 kg
= 5.99 m/s² (approximately).
b) To find the force between the blocks, we consider just the 2.0 kg block. Its gravitational force is
2.0 kg * 9.8 m/s² = 19.6 N.
2.0 kg * 5.99 m/s² = 11.98 N.
The force between the blocks would then be 19.6 N - 11.98 N = 7.62 N (approximately).
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