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Motion in Straight Line

Kinematic equations

A sled and its rider together weigh 800 {~N}. They move down o

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Medium

Solving time: 3 mins

A sled and its rider together weigh $800 N$ . They move down on a frictionless hill through a vertical distance of $10.0 m$ . Use conservation of mechanical energy to find the speed of the sled at the bottom of the hill, assuming the rider pushes off with an initial speed of $5.00 m / s$ . Neglect air resistance.

21.5 m / s

14.9 m / s

4.9 m / s

20.3 m / s

Views: 5,727 students

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2008

Found 6 tutors discussing this question

Benjamin Discussed

A sled and its rider together weigh

800 N

. They move down on a frictionless hill through a vertical distance of

10.0 m

. Use conservation of mechanical energy to find the speed of the sled at the bottom of the hill, assuming the rider pushes off with an initial speed of

5.00 m / s

. Neglect air resistance.

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

The initial energy of the sled-rider-earth system includes kinetic energy because of the initial speed.

∴ \frac{1}{2} m v_{i}^{2} + m g y_{i} = \frac{1}{2} m v_{f}^{2} + m g y_{f}

\frac{1}{2} v_{i}^{2} + g y_{i} = \frac{1}{2} v_{f}^{2} + g y_{f}

If we set the origin of our coordinates at the bottom of the incline, the initial and final

y

coordinates of the sled are

y_{i} = 10.0 m

and

y_{f} = 0

.
Thus, we get

\frac{1}{2} v_{i}^{2} + g y_{i} = \frac{1}{2} v_{f}^{2} + 0

v_{f}^{2} = v_{i}^{2} + 2 g y_{i}

= (5.00)^{2} + 2 (9.80) (10.0)

v_{f} = 14.9 m / s

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Question Text	A sled and its rider together weigh $800 N$ . They move down on a frictionless hill through a vertical distance of $10.0 m$ . Use conservation of mechanical energy to find the speed of the sled at the bottom of the hill, assuming the rider pushes off with an initial speed of $5.00 m / s$ . Neglect air resistance.
Topic	Motion in Straight Line
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	52

Text solutionVerified

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