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(b) The block takes time tup to slide up the ramp a distance x The block then takes time down to slide back down to the bottom of the ramp, where it has speed up. Is flows greater than equal to
or less tup?
tdown >tup -tdown = tup .tdown In a clear, coherent paragraph-length response that may also contain figures and/or equations, explain your reasoning. If you need to draw anything other than what you have shown in part (a) to
assist in your response, use the space below. Do NOT add anything to the figures in part (a).


Sagot :

Newton's second law allows finding the result for the comparison of the rise and fall times of the block on the ramp is:

  • The acceleration of the two processes is the same, if the initial velocity is equal, the times are equal.

Newton's second law establishes a relationship between the net force, the masses and the acceleration of the bodies.  

         ∑ F = m a

Where the bold letters indicate vectors, F is the force, m the mass and the acceleration of the body.

The reference system is a coordinate system with respect to which the forces are drawn, in the attached we can see a free body diagram of the block going up and down the ramp, in this case the x axis is parallel to the ramp and the y axis it is perpendicular.

Let's use trigonometry to find the components of weight.

         sin θ = [tex]\frac{W_x}{W}[/tex]  

         cos θ = [tex]\frac{W_y}{W}[/tex]  

         Wₓ = W sin θ

          [tex]W_y[/tex] = W cos θ

Let's write Newton's second law for each axis.

Case 1. block slides down.

x- axis

         Wₓ = ma

         mg sin θ = ma

         a = g sin θ

Case 2. block rises

X axis

         - Wₓ = m a

         - m gsin θ = a

          a = - g sin θ

We can see that the acceleration is the same in two two cases, if the block has the same initial speed, the rise and fall time is the same.

           y = v₀ t - ½ a t²

            y = ½ a t²

In conclusion using Newton's second law we can find the result for the comparison of the rise and fall times of the block on the ramp is:

  • The acceleration is the same, if the initial velocity is the same, the times of going up and down are the same.

Learn more here: brainly.com/question/15760805

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