SATHEE: Work Energy And Power Question 72

Work Energy And Power Question 72

Question: A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to [IIT 1984; BHU 1984, 95; MP PET 1996; JIPMER 2000; AMU (Med.) 1999]

Options:

A) $t^{1 / 2}$

B) $t^{3 / 4}$

C) $t^{3 / 2}$

D) $t^{2}$

Show Answer

Answer:

Correct Answer: C

Solution:

$P = F v = m a v = m (\frac{d v}{d t}) v$

therefore $\frac{P}{m} d t = v d v$

therefore $\frac{P}{m} \times t = \frac{v^{2}}{2}$

therefore $v = {(\frac{2 P}{m})}^{1 / 2} {(t)}^{1 / 2}$ Now $s = \int_{}^{} v d t = \int_{}^{} {(\frac{2 P}{m})}^{1 / 2} t^{1 / 2} d t$ \ $s = {(\frac{2 P}{m})}^{1 / 2} [\frac{2 t^{3 / 2}}{3}]$

therefore $s \propto t^{3 / 2}$

Work Energy And Power Question 72

Question: A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to [IIT 1984; BHU 1984, 95; MP PET 1996; JIPMER 2000; AMU (Med.) 1999]

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 72

Question: A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to [IIT 1984; BHU 1984, 95; MP PET 1996; JIPMER 2000; AMU (Med.) 1999]

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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