1
AIPMT 2015 Cancelled Paper
+4
-1
A block of mass 10 kg, moving in x direction with a constant speed of 10 m s$$-$$1, is subjected to a retarding force F = 0.1x J/m during its travel from x = 20 m to 30 m. Its final KE will be
A
275 J
B
250 J
C
475 J
D
450 J
2
AIPMT 2015 Cancelled Paper
+4
-1
A particle of mass m is driven by a machine that delivers a constant power k watts. If the particle starts from rest the force on the particle at time t is
A
$$\sqrt {2mk} {\,t^{ - 1/2}}$$
B
$${1 \over 2}\sqrt {mk} \,{t^{ - 1/2}}$$
C
$$\sqrt {{{mk} \over 2}} \,{t^{ - 1/2}}$$
D
$$\sqrt {mk} \,{t^{ - 1/2}}$$
3
AIPMT 2015 Cancelled Paper
+4
-1
Two particles of masses m1, m2 move with initial velocities u1 and u2. On collision, one of the particles get excited to higher level, after absorbing energy $$\varepsilon$$. If final velocities of particles be v1 and v2 then we must have
A
$${1 \over 2}$$m1u$$_1^2$$ + $${1 \over 2}$$ m2u$$_2^2$$ $$-$$ $$\varepsilon$$ = $${1 \over 2}$$ m1v$$_1^2$$ + $${1 \over 2}$$m2v$$_2^2$$
B
$${1 \over 2}$$m$$_1^2$$u$$_1^2$$ + $${1 \over 2}$$m$$_2^2$$u$$_2^2$$ + $$\varepsilon$$ = $${1 \over 2}$$m$$_1^2$$v$$_1^2$$ + $${1 \over 2}$$m$$_2^2$$v$$_2^2$$
C
m$$_1^2$$u1 + m$$_2^2$$u2 $$-$$ $$\varepsilon$$ = m$$_1^2$$v1 + m$$_2^2$$v2
D
$${1 \over 2}$$m1u$$_1^2$$ + $${1 \over 2}$$m2u$$_2^2$$ = $${1 \over 2}$$m1v$$_1^2$$ + $${1 \over 2}$$m2v$$_2^2$$ $$-$$ $$\varepsilon$$
4
AIPMT 2015 Cancelled Paper
+4
-1
Two similar springs P and Q have spring constants KP and KQ, such that KP > KQ. They are stretched first by the same amount (case a), then by the same force (case b). The work done by the springs WP and WQ are related as, in case (a) and case (b) respectively
A
WP > WQ;  WQ > WP
B
WP < WQ;  WQ < WP
C
WP = WQ;  WP > WQ
D
WP = WQ;  WP = WQ
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