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Work, Energy and Power

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A block of mass 2 {~kg} is free to move along the x-axis. It i

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Solving time: 3 mins

A block of mass $2 kg$ is free to move along the $x$ -axis. It is at rest and from $t = 0$ onwards it is subjected to a time-dependent force $F (t)$ in the $x$ -direction. The force $F (t)$ varies with $f$ as shown in the figure. The kinetic energy of the block after $4.5 s$ is
$-$

$-$

4.50 J

7.50 J

5.06 J

14.06 J

Views: 6,018 students

Updated on: Oct 8, 2023

Found 6 tutors discussing this question

Luna Discussed

A block of mass

2 kg

is free to move along the

x

-axis. It is at rest and from

t = 0

onwards it is subjected to a time-dependent force

F (t)

in the

x

-direction. The force

F (t)

varies with

f

as shown in the figure. The kinetic energy of the block after

4.5 s

-

-

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

-

-

Area under the

F

t

graph gives the change in momentum of the block. Area

A

= Area of triangle

ABO

- Area of triangle

DCO

∴ A = \frac{1}{2} (4) (3) - \frac{1}{2} (2) (1.5) = 4.5 Ns

Initial momentum of the block

P_{i} = 0

Using

A = P_{f} - P_{i}

\Rightarrow P_{f} = 4.5 Ns

Thus final kinetic energy of the block

K_{f} = \frac{P _{f}^{2}}{2 m}

\Rightarrow K_{f} = \frac{( 4.5 ) ^{2}}{2 ( 2 )} = 5.06 J

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Question Text	A block of mass $2 kg$ is free to move along the $x$ -axis. It is at rest and from $t = 0$ onwards it is subjected to a time-dependent force $F (t)$ in the $x$ -direction. The force $F (t)$ varies with $f$ as shown in the figure. The kinetic energy of the block after $4.5 s$ is $-$ $-$
Updated On	Oct 8, 2023
Topic	Work, Energy and Power
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 7
Upvotes	804
Avg. Video Duration	12 min

A block of mass $2 kg$ is free to move along the $x$ -axis. It is at rest and from $t = 0$ onwards it is subjected to a time-dependent force $F (t)$ in the $x$ -direction. The force $F (t)$ varies with $f$ as shown in the figure. The kinetic energy of the block after $4.5 s$ is
$-$

$-$

Text solutionVerified

Filo tutor solutions (7)

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A block of mass 2 kg is free to move along the x-axis. It is at rest and from t=0 onwards it is subjected to a time-dependent force F(t) in the x-direction. The force F(t) varies with f as shown in the figure. The kinetic energy of the block after 4.5 s is−−

Text solutionVerified

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A block of mass $2 kg$ is free to move along the $x$ -axis. It is at rest and from $t = 0$ onwards it is subjected to a time-dependent force $F (t)$ in the $x$ -direction. The force $F (t)$ varies with $f$ as shown in the figure. The kinetic energy of the block after $4.5 s$ is
$-$

$-$