   Chapter 4, Problem 81AP

Chapter
Section
Textbook Problem

A frictionless plane is 10.0 m long and inclined at 35.0°. A sled starts at the bottom with an initial speed of 5.00 m/s up the incline. When the sled reaches the point at which it momentarily stops, a second sled is released from the top of the incline with an initial speed vi. Both sleds reach the bottom of the incline at the same moment. (a) Determine the distance that the first sled traveled up the incline. (b) Determine the initial speed of the second sled.

(a)

To determine
The distance travelled by the first sled.

Explanation

Given Info: Length of the incline is 10.0 m. Angle of inclinations is 35ο . Initial speed of the sled is 5.00 m/s.

The formula for the distance travelled by the sled is,

s=vavgt (I)

• vavg is the average speed.
• t is the time taken.

The average speed is,

vavg=(v+u2) (II)

• v is the final speed.
• u is the initial speed.

From Newton’s equation of motion,

t=vua (III)

• v is the final speed.
• u is the initial speed.
• a is the acceleration.

Acceleration is equal to the sine component of acceleration due to gravity.

t=vu(gsin35ο)

From Equations (I), (II) and (III),

s=(

(b)

To determine
The initial speed of the second sled.

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