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NEET 2026
Exam
NEET
Year
2026
Subject
Physics
Chapter
Chapter

NEET 2026 · Physics · Chapter

A block of mass 5 kg rests on a smooth horizontal surface. It is...

A block of mass 5 kg5 \text{ kg} rests on a smooth horizontal surface. It is pulled by a light string that makes an angle of 37∘37^{\circ} above the horizontal with a constant force of 50 N50 \text{ N}. Simultaneously, a constant horizontal opposing force of 10 N10 \text{ N} acts on the block. The acceleration of the block is
(Take sin⁡37∘=35\sin 37^{\circ} = \dfrac{3}{5}, cos⁡37∘=45\cos 37^{\circ} = \dfrac{4}{5} and g=10 m s−2g = 10 \text{ m s}^{-2})

Options

  1. A4 m s−24 \text{ m s}^{-2}
  2. B6 m s−26 \text{ m s}^{-2}
  3. C8 m s−28 \text{ m s}^{-2}
  4. D10 m s−210 \text{ m s}^{-2}

Correct answer

B. 6 m s−26 \text{ m s}^{-2}

Step-by-step solution

The horizontal component of the pulling force is Fx=Fcos⁡37∘=50×45=40 NF_{x} = F \cos 37^{\circ} = 50 \times \dfrac{4}{5} = 40 \text{ N}.

The vertical component of the pulling force is Fy=Fsin⁡37∘=50×35=30 NF_{y} = F \sin 37^{\circ} = 50 \times \dfrac{3}{5} = 30 \text{ N}.

The weight of the block is mg=5×10=50 Nmg = 5 \times 10 = 50 \text{ N}. Since Fy<mgF_{y} < mg, the block remains on the horizontal surface.

The net force acting on the block in the horizontal direction is Fnet=Fx−fopposingF_{\text{net}} = F_{x} - f_{\text{opposing}}.

Substituting the given values, Fnet=40−10=30 NF_{\text{net}} = 40 - 10 = 30 \text{ N}.

Using Newton's second law, the acceleration of the block is a=Fnetm=305=6 m s−2a = \dfrac{F_{\text{net}}}{m} = \dfrac{30}{5} = 6 \text{ m s}^{-2}.

Answer: 6 m s−26 \text{ m s}^{-2}
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