SATHEE: Work Energy And Power Question 225

Work Energy And Power Question 225

Question: A 2 kg block slides on a horizontal floor with a speed of4m/s. It strikes a uncompressed spring, and compresses it till the block is motionless. The kinetic friction force is 15N and spring constant is 10,000 N/m. The spring compresses by Critical Thinking

Options:

A) 8.5 cm

B) 5.5 cm

C) 2.5 cm

D) 11.0 cm

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Let the blow compress the spring by x before stopping.

Kinetic energy of the block = (P.E of compressed spring) + work done against function. $\frac{1}{2} \times 2 \times {(4)}^{2} = \frac{1}{2} \times 10, 000 \times x^{2} + (+ 15) \times x$

$10, 000 x^{2} + 30 x - 32 = 0$

$\Rightarrow 5, 000 x^{2} + 15 x - 16 = 0$

$∴ x = - \frac{15 \pm \sqrt{{(15)}^{2} \pm - 4 \times (5000) (- 16)}}{2 \times 5000}$

$= 0.055 m = 5.5 c m .$

Work Energy And Power Question 225

Question: A 2 kg block slides on a horizontal floor with a speed of4m/s. It strikes a uncompressed spring, and compresses it till the block is motionless. The kinetic friction force is 15N and spring constant is 10,000 N/m. The spring compresses by Critical Thinking

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Work Energy And Power Question 225

Question: A 2 kg block slides on a horizontal floor with a speed of4m/s. It strikes a uncompressed spring, and compresses it till the block is motionless. The kinetic friction force is 15N and spring constant is 10,000 N/m. The spring compresses by Critical Thinking

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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