1
JEE Main 2023 (Online) 29th January Morning Shift
+4
-1

A stone is projected at angle $$30^{\circ}$$ to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be -

A
1 : 4
B
1 : 2
C
4 : 3
D
4 : 1
2
JEE Main 2022 (Online) 29th July Morning Shift
+4
-1

A ball is projected with kinetic energy E, at an angle of $$60^{\circ}$$ to the horizontal. The kinetic energy of this ball at the highest point of its flight will become :

A
Zero
B
$$\frac{E}{2}$$
C
$$\frac{E}{4}$$
D
E
3
JEE Main 2022 (Online) 28th July Evening Shift
+4
-1

A bullet of mass $$200 \mathrm{~g}$$ having initial kinetic energy $$90 \mathrm{~J}$$ is shot inside a long swimming pool as shown in the figure. If it's kinetic energy reduces to $$40 \mathrm{~J}$$ within $$1 \mathrm{~s}$$, the minimum length of the pool, the bullet has to travel so that it completely comes to rest is

A
45 m
B
90 m
C
125 m
D
25 m
4
JEE Main 2022 (Online) 27th July Morning Shift
+4
-1

Sand is being dropped from a stationary dropper at a rate of $$0.5 \,\mathrm{kgs}^{-1}$$ on a conveyor belt moving with a velocity of $$5 \mathrm{~ms}^{-1}$$. The power needed to keep the belt moving with the same velocity will be :

A
1.25 W
B
2.5 W
C
6.25 W
D
12.5 W
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