if the blocks are released from rest, which way does the 10 kgkg block slide, and what is its acceleration? enter a positive value if 10 kgkg block accelerates up the ramp, and a negative value otherwise.

Question

08-11-2022
Physics

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if the blocks are released from rest, which way does the 10 kgkg block slide, and what is its acceleration? enter a positive value if 10 kgkg block accelerates up the ramp, and a negative value otherwise.

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RioSengupta RioSengupta · Answer 1 · 2022-11-12T02:31:02-05:00

The acceleration is -0.48m/s².

Explain what an acceleration is.

Acceleration is the rate of change in both speed and direction of velocity over time. Anything is said to have been accelerated when it goes faster or slower in a straight line.

Suppose that θ=35°

First, you need to set up equations for both blocks.

Let m₁ be 10kg and m₂ be 5kg and for our computations suppose right is positive and up is positive

For m₁ the solution is:

Sigma Fx = ma

T - m₁gsin35 = m₁a

where T = tension

For m₂

m₂g - T = m₂a

Add the two equations together

m₁a + m₂a = T-m₁gsin35 + m₂g - T

a(m₁ + m₂) = m₂g - m₁gsin35

a= (5×9.8 - 10×9.8×sin35)/(10 + 5)

a= -0.48m/s².

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