1
MHT CET 2023 13th May Morning Shift
+1
-0

Using variation of force and time given below, final velocity of a particle of mass $$2 \mathrm{~kg}$$ moving with initial velocity $$6 \mathrm{~m} / \mathrm{s}$$ will be

A
10 m/s
B
5 m/s
C
12 m/s
D
0 m/s
2
MHT CET 2023 10th May Evening Shift
+1
-0

A ball of mass '$$\mathrm{m}$$' is dropped from a height '$$\mathrm{s}$$' on a horizontal platform fixed at the top of a vertical spring. The platform is depressed by a distance '$$h$$'. The spring constant is ( $$\mathrm{g}=$$ acceleration due to gravity)

A
$$\frac{2 \mathrm{mg}(\mathrm{s}-\mathrm{h})}{\mathrm{h}^2}$$
B
$$\frac{2 \mathrm{mg}(\mathrm{s}+\mathrm{h})}{\mathrm{h}^2}$$
C
$$\frac{\mathrm{mg}(\mathrm{s}-\mathrm{h})}{\mathrm{h}}$$
D
$$\frac{m g(s+h)}{h}$$
3
MHT CET 2023 10th May Morning Shift
+1
-0

If a lighter body of mass '$$\mathrm{M}_1$$' and velocity '$$\mathrm{V}_1$$' and a heavy body (mass $$M_2$$ and velocity $$V_2$$ ) have the same kinetic energy then

A
$$\mathrm{M}_2 \mathrm{V}_2<\mathrm{M}_1 \mathrm{~V}_1$$
B
$$\mathrm{M_2 V_2=M_1 V_1}$$
C
$$\mathrm{M_2 V_1 < M_1 V_2}$$
D
$$\mathrm{M_2 V_2>M_1 V_1}$$
4
MHT CET 2023 9th May Morning Shift
+1
-0

A stone is projected vertically upwards with speed '$$v$$'. Another stone of same mass is projected at an angle of $$60^{\circ}$$ with the vertical with the same speed '$$v$$'. The ratio of their potential energies at the highest points of their journey is $$\left[\sin 30^{\circ}=\cos 60^{\circ}=0.5, \cos 30^{\circ}=\sin 60^{\circ}=\frac{\sqrt{3}}{2}\right]$$

A
$$4: 1$$
B
$$2: 1$$
C
$$3: 2$$
D
$$1: 1$$
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