A block of mass 5 kg is initially at rest and it slides down a 35° incline with a rough surface. The acceleration of the block is 3.0 ms 2, and the length of the incline is 25 m. (a) Draw the free body of the block. (b) What is the speed of the block when it reaches the bottom of the incline? (c) What is the kinetic energy of the block as it reaches the bottom of the incline? (d) How much work is spent in overcoming the friction? (e) What is the magnitude of the frictional force that acts on the block as it slides down the incline? (f) What is the coefficient of kinetic friction between the block and the incline?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 21P: A 5.00-kg block is set into motion up an inclined plane with an initial speed of i = 8.00 m/s (Fig....
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A block of mass 5 kg is initially at rest and it slides down a 35° incline with a rough surface. The
acceleration of the block is 3.0 ms-2, and the length of the incline is 25 m.
(a) Draw the free body of the block.
(b) What is the speed of the block when it reaches the bottom of the incline?
(c) What is the kinetic energy of the block as it reaches the bottom of the incline?
(d) How much work is spent in overcoming the friction?
(e) What is the magnitude of the frictional force that acts on the block as it slides down the incline?
(f) What is the coefficient of kinetic friction between the block and the incline?
Transcribed Image Text:A block of mass 5 kg is initially at rest and it slides down a 35° incline with a rough surface. The acceleration of the block is 3.0 ms-2, and the length of the incline is 25 m. (a) Draw the free body of the block. (b) What is the speed of the block when it reaches the bottom of the incline? (c) What is the kinetic energy of the block as it reaches the bottom of the incline? (d) How much work is spent in overcoming the friction? (e) What is the magnitude of the frictional force that acts on the block as it slides down the incline? (f) What is the coefficient of kinetic friction between the block and the incline?
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How come about this equation?

(6)
(C)
let
Teoches
the bottom
is V
2
V²= 20L 42?
??
V = √2X3X25
V = J150
V
11
Speed of
=
12:247m/s
energy
OF
1/2mv
Kinetic
bottom
k = 21/12/2
k
block
when
of the
block
x 5x (12-297) 2
the incline
=
2
375 J
it
of
Transcribed Image Text:(6) (C) let Teoches the bottom is V 2 V²= 20L 42? ?? V = √2X3X25 V = J150 V 11 Speed of = 12:247m/s energy OF 1/2mv Kinetic bottom k = 21/12/2 k block when of the block x 5x (12-297) 2 the incline = 2 375 J it of
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