1
GATE ME 2003
+1
-0.3
A bullet of mass ‘m’ travels at a very high velocity v (as shown in the figure) and gets embedded inside the block of mass ‘M’ initially at rest on a rough horizontal floor. The block with the bullet is seen to move a distance ‘s’ along the floor. Assuming $$\mu$$ to be the coefficient to kinetic friction between the block and the floor and ‘g’ the acceleration due to gravity what is the velocity v of the bullet?
A
$${{M + m} \over m}\sqrt {2\mu gS}$$
B
$${{M - m} \over m}\sqrt {2\mu gS}$$
C
$${{\mu \left( {M + m} \right)} \over m}\sqrt {2gS}$$
D
$${M \over m}\sqrt {2\mu gS}$$
2
GATE ME 2000
+1
-0.3
A steel wheel of 600 mm diameter rolls on a horizontal steel rail. It carries a load of 500 N. The coefficient of rolling resistance is 0.3 mm. The force in N, necessary to roll the wheel along the rail is
A
0.5
B
5
C
1.5
D
150
3
GATE ME 2000
+1
-0.3
The ratio of tension on the tight side to that on the slack side in a flat belt drive is
A
proportional to the product of coefficient of friction and lap angle.
B
an exponential function of the product of coefficient of friction and lap angle.
C
proportional to the lap angle
D
proportional to the coefficient of friction.
4
GATE ME 1998
+1
-0.3
A car moving with uniform acceleration covers 450 m in a 5 second interval, and covers 700 m in the next 5 second interval. The acceleration of the car is
A
7m/s2
B
50m/s2
C
25m/s2
D
10m/s2
GATE ME Subjects
EXAM MAP
Medical
NEET