A 5.40-kg block is set into motion up an inclined plane with an initial speed of \( v_i = 8.40 \, \text{m/s} \) (see figure below). The block comes to rest after traveling \( d = 3.00 \, \text{m} \) along the plane, which is inclined at an angle of \( \theta = 30.0^\circ \) to the horizontal.Figure: The diagram shows a block on an inclined plane. The plane is at an angle \( \theta \) with respect to the horizontal ground. A red arrow indicates the initial velocity \( v_i \) of the block directed up the plane. The distance \( d \) along the incline is marked as the distance the block travels before coming to rest.(a) For this motion, determine the change in the block's kinetic energy.\[\boxed{ \, }\quad \text{J}\](b) For this motion, determine the change in potential energy of the block–Earth system.\[\boxed{ \, }\quad \text{J}\](c) Determine the friction force exerted on the block (assumed to be constant).\[\boxed{ \, }\quad \text{N}\](d) What is the coefficient of kinetic friction?\[\boxed{ \, }\]

Answered: Image /qna-images/answer/b7b2fc7e-e209-4e51-978a-1f678c5eaa1e.jpg

A 5.40-kg block is set into motion up an inclined plane with an initial speed of v, = 8.40 m/s (see figure below). The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of 0 = 30.0° to the horizontal. (a) For this motion, determine the change in the block's kinetic energy. (b) For this motion, determine the change in potential energy of the block-Earth system. (c) Determine the friction force exerted on the block (assumed to be constant). N (d) What is the coefficient of kinetic friction?

A 5.40-kg block is set into motion up an inclined plane with an initial speed of v, = 8.40 m/s (see figure below). The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of 0 = 30.0° to the horizontal. (a) For this motion, determine the change in the block's kinetic energy. (b) For this motion, determine the change in potential energy of the block-Earth system. (c) Determine the friction force exerted on the block (assumed to be constant). N (d) What is the coefficient of kinetic friction?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A 5.40-kg block is set into motion up an inclined plane with an initial speed of \( v_i = 8.40 \, \text{m/s} \) (see figure below). The block comes to rest after traveling \( d = 3.00 \, \text{m} \) along the plane, which is inclined at an angle of \( \theta = 30.0^\circ \) to the horizontal.

Figure: The diagram shows a block on an inclined plane. The plane is at an angle \( \theta \) with respect to the horizontal ground. A red arrow indicates the initial velocity \( v_i \) of the block directed up the plane. The distance \( d \) along the incline is marked as the distance the block travels before coming to rest.

(a) For this motion, determine the change in the block's kinetic energy.
\[
\boxed{ \, }
\quad \text{J}
\]

(b) For this motion, determine the change in potential energy of the block–Earth system.
\[
\boxed{ \, }
\quad \text{J}
\]

(c) Determine the friction force exerted on the block (assumed to be constant).
\[
\boxed{ \, }
\quad \text{N}
\]

(d) What is the coefficient of kinetic friction?
\[
\boxed{ \, }
\]

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