A body with a mass of \(5\) kg is acted upon by a force \(\vec{F}=\left ( -3\hat{i} +4\hat{j}\right )\) N. If its initial velocity at \(t=0\) is \(\vec{v}=\left ( 6\hat{i} -12\hat{j}\right )\) m/s, the time at which it will just have a velocity along the Y-axis is:
1. never
2. \(10\) s
3. \(2\) s
4. \(15\) s

Subtopic:  Newton's Laws |
 57%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A car of mass m starts from rest and acquires a velocity along the east, \(v=v\mathrm{\hat{i}}(v>0)\) in two seconds. Assuming the car moves with uniform acceleration, the force exerted on the car is:

1. \(mv/2\) eastward and is exerted by the car engine.
2. \(mv/2\) eastward and is due to the friction on the tires exerted by the road.
3. more than \(mv/2\) eastward exerted due to the engine and overcomes the friction of the road.
4. \(mv/2\) exerted by the engine.

Subtopic:  Newton's Laws | Application of Laws |
 54%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The motion of a particle of mass m is given by x = 0 for t < 0s, x(t) = A sin 4πt for 0 < t < (1/ 4)s (A > 0), and x = 0 for t > (1/4) s. Then:

(a) The force at t = (1/8)s on the particle is 16π2Am
(b) The particle is acted upon by an impulse of magnitude 4πAm at t =0 s and t =(1/4) s
(c) The particle is not acted upon by any force
(d) The particle is not acted upon by a constant force
(e) There is no impulse acting on the particle

Which of the following statement/s is/are true?

1. (a, c, d, e)

2. (a, c)

3. (b, c, d)

4. (a, b, d)

Subtopic:  Newton's Laws | Application of Laws |
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

advertisementadvertisement

In the figure, the coefficient of friction between the floor and body B is 0.1. The coefficient of friction between bodies B and A is 0.2. A force F is applied as shown on B. The mass of A is rn/2 and of B is m.

a. The bodies will move together if F = O .25 mg
b. The A will slip with B if F = 0.5 mg
c. The bodies will move together if F = 0.5 mg
d. The bodies will be at rest if F = 0.1 mg
e The maximum value of F for which the two bodies will move together is 0.45 mg


Which of the following statement(s) is/are true?

1. (a, b, d, e)

2. (a, c, d, e)

3. (b, c, d)

4. (a, b, c)

Subtopic:  Application of Laws | Friction |
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Mass m1 moves on a slope making an angle θ with the horizontal and is
attached to mass m2 by a string passing over a frictionless pulley as
shown in the figure. The coefficient of friction between m1 and the sloping
surface is μ.

(a) If m2>m1sinθ, the body will move up the plane.
(b) If m2>m1(sinθ+μcosθ), the body will move up the plane.
(c) If m2<m1(sinθ+μcosθ), the body will move up the plane.
(d) If m2<m1(sinθμcosθ), the body will move down the plane.

Which of the following statement/s is/are true?

1. (a, d)

2. (a, c)

3. (c, d)

4. (b, d)

Subtopic:  Friction |
 57%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

In figure a body A of mass m slides on a plane inclined at angle θ1 to the horizontal and g is the coefficient of friction between A and the plane. A is connected by a light string passing over a frictionless pulley to another body B, also of mass m, sliding on a frictionless plane inclined at an angle θ2 to the horizontal.

(a) A will never move up the plane
(b) A will just start moving up the plane when μ=sin θ2sin θ1cos θ1
(c) For A to move up the plane, θ2 must always be greater than θ1
(d) B will always slide down with a constant speed

Which of the following statement/s is/are true?

1. (b, c)
2. (c, d)
3. (a, c)
4. (a, d)

Subtopic:  Friction |
 50%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

advertisementadvertisement

A body of mass \(10\) kg is acted upon by two perpendicular forces, \(6\) N and \(8\) N. The resultant acceleration of the body is:

(a) \(1~\text{ms}^{-2}\) at an angle of \(tan^{-1}\Big(\frac43\Big)\) w.r.t. \(6\) N force
(b) \(0.2~\text{ms}^{-2}\) at an angle of \(tan^{-1}\Big(\frac34\Big)\) w.r.t. \(8\) N force
(c) \(1~\text{ms}^{-2}\) at an angle of \(tan^{-1}\Big(\frac34\Big)\) w.r.t. \(8\) N force
(d) \(0.2~\text{ms}^{-2}\) at an angle of \(tan^{-1}\Big(\frac34\Big)\) w.r.t. \(6\) N force


Choose the correct option:

1. (a), (c)
2. (b), (c)
3. (c), (d)
4. (a), (b), (c)

Subtopic:  Application of Laws |
 78%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A body of mass 2kg travels according to the law x(t)=pt+qt2+rt3 where, q=4ms2,p=3ms1 and r=5ms3. The force acting on the body at t=2s is

1. 136 N
2. 134 N
3. 158 N
4. 68 N

Subtopic:  Newton's Laws | Application of Laws |
 67%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A hockey player is moving northward and suddenly turns westward at the same speed to avoid an opponent. The force that acts on the player is

1. frictional force along westward
2. muscle force along southward
3. frictional force along south-West
4. muscle force a south-West

Subtopic:  Newton's Laws | Application of Laws |
 67%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

advertisementadvertisement

Conservation of momentum in a collision between particles can be understood from:

1. Conservation of energy
2. Newton's first law only
3. Newton's second law only
4. Both Newton's second and third law


 

Subtopic:  Newton's Laws | Application of Laws |
 51%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch