Question

A block of mass 5 kg is present on a plank of mass 10 kg. The coefficient of friction
between them is 0.8 and that between plank and the ground is 0.4. If the plank is
being pulled with a constant force 90 N to the right, find their accelerations.​

Answer 1

Answer:

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Explanation:

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Answer 2

Given:

Mass = 5 kg

Plank mass = 10 kg

Friction between block and plank = $0.8$

Friction between plank and ground = $0.4$

Force = 90 N

To find:

We need to find the acceleration.

Solution:

Acceleration is that the rate of amendment of rate. Usually, acceleration suggests that the speed is dynamic, however not continuously. once an object moves in an exceedingly circular path at a continuing speed, it's still fast, as a result of the direction of its rate is dynamic.

$& F=ma \\ \\ & a=\frac{F}{m}$

So,

$a=\frac{90}{15}=6\text{ m}{{\text{s}}^{2}}$

Maximum possible acceleration of 5kg block.

$& {{a}_{1}}=\frac{FrictionForce}{mass} \\ & \\ & {{a}_{1}}=\frac{90}{5} \\ & \\ & {{a}_{1}}=18\text{ }m{{s}^{2}}$

Therefore, the acceleration is $\[6m{{s}^{2}}\]$ and $\[18m{{s}^{2}}\]$.