Block A is accelerating with Block B at a rate of 0.800 m/s2 along a frictionless surface. It suddenly encounters a surface that supplies 25.0 N a friction. What is the new Acceleration?

A. 0.4 m/s2

B. 1.0 m/s2

C. 0.8 m/s2

D. 0.6 m/s2

Respuesta :

Answer:

[tex]a=0.6\ m/s^2[/tex]

Explanation:

The attached figure shows the whole description. Considering the applied force is 100 N.

The acceleration of both blocks A and B, [tex]a=0.8\ m/s^2[/tex]

Firstly calculating the mass m using the second law of motion as :

F = ma

m is the mass

[tex]m=\dfrac{F}{a}[/tex]

[tex]m=\dfrac{100\ N}{0.8\ m/s^2}[/tex]

m = 125 kg

It suddenly encounters a surface that supplies 25.0 N a friction, F' = 25 N

[tex](F-F')=ma[/tex]

[tex](100-25)=125\times a[/tex]

[tex]a=\dfrac{75}{125}=0.6\ m/s^2[/tex]

So, the new acceleration of the block is [tex]0.6\ m/s^2[/tex]. Hence, this is the required solution.

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