1
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
A body of mass 1 kg is thrown upwards with a velocity 20 m/s. It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction? (g = 10 m/s2)
A
30 J
B
40 J
C
10 J
D
20 J
2
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?
A
mv3
B
$${1 \over 2}m{v^2}$$
C
$${1 \over 2}{m^2}{v^2}$$
D
$${1 \over 2}m{v^3}$$
3
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity $$\omega $$. If two objects each of mass m be attached gently to the opposite ends of a diameter of the ring, the ring will then rotate with an angular velocity
A
$${{\omega M} \over {M + 2m}}$$
B
$${{\omega \left( {M + 2m} \right)} \over M}$$
C
$${{\omega M} \over {M + m}}$$
D
$${{\omega \left( {M - 2m} \right)} \over {M + 2m}}$$
4
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
Two bodies of mass 1 kg and 3 kg have position vectors $$\widehat i + 2\widehat j + \widehat k$$ and $$ - 3\widehat i - 2\widehat j + \widehat k$$, respectively. The center of mass of this system has a position vector :
A
$$ - 2\widehat i - \widehat j + \widehat k$$
B
$$2\widehat i - \widehat j - 2\widehat k$$
C
$$ - \widehat i + \widehat j + \widehat k$$
D
$$ - 2\widehat i + 2\widehat k$$
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