1
NEET 2023
+4
-1

Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is 0.15

$$\left(g=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$$.

A
$$150 \mathrm{~m} \mathrm{~s}^{-2}$$
B
$$1.5 \mathrm{~m} \mathrm{~s}^{-2}$$
C
$$50 \mathrm{~m} \mathrm{~s}^{-2}$$
D
$$1.2 \mathrm{~m} \mathrm{~s}^{-2}$$
2
NEET 2023
+4
-1

A bullet from a gun is fired on a rectangular wooden block with velocity $$u$$. When bullet travels $$24 \mathrm{~cm}$$ through the block along its length horizontally, velocity of bullet becomes $$\frac{u}{3}$$. Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is :

A
$$24 \mathrm{~cm}$$
B
$$28 \mathrm{~cm}$$
C
$$30 \mathrm{~cm}$$
D
$$27 \mathrm{~cm}$$
3
NEET 2022 Phase 2
+4
-1

If $$\overrightarrow F = 2\widehat i + \widehat j - \widehat k$$ and $$\overrightarrow r = 3\widehat i + 2\widehat j - 2\widehat k$$, then the scalar and vector products of $$\overrightarrow F$$ and $$\overrightarrow r$$ have the magnitudes respectively as

A
10, 2
B
5, $$\sqrt 3$$
C
4, $$\sqrt 5$$
D
10, $$\sqrt 2$$
4
NEET 2022 Phase 2
+4
-1

In the diagram shown, the normal reaction force between 2 kg and 1 kg is (Consider the surface, to be smooth) :

(Given g = 10 ms$$-$$2)

A
10 N
B
25 N
C
39 N
D
6 N
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