Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 1]PhysicsNewton's Laws of Motion

In the arrangement depicted in the figure, both springs are unstretched. If the block is given a displacement of x and released, what will be its initial acceleration?

Options

  1. A(k₁ + k₂)x m opposite to the displacement
  2. Bk₁ k₂ x (k₁ + k₂)m opposite to the displacement
  3. C|k₁ - k₂|x m opposite to the displacement
  4. D(k₁ + k₂)x m along the displacement

Correct answer

A. (k₁ + k₂)x m opposite to the displacement

Step-by-step solution

When the block is displaced by a distance x from its equilibrium position, one spring gets stretched by x and the other gets compressed by x . The restoring force from the first spring is F₁ = k₁ x in the direction opposite to the displacement. The restoring force from the second spring is F₂ = k₂ x , also in the direction opposite to the displacement. The net restoring force acting on the block is: F_ net = F₁ + F₂ = k₁ x + k₂ x = (k₁ + k₂)x This net force acts opposite to the direction of displacement. Using Newt

Practice Newton's Laws of Motion on Quantrex Academy →

More from Newton's Laws of Motion

A block with a mass of 2 kg rests on a long frictionless horizontal table and is pulled horizontally by a constant force F . The block is observed to travel 10 m during the first tA block of mass 0.2 kg is suspended from the ceiling by a light string. A second block of mass 0.3 kg is suspended from the first block through another string. Determine the tensioPlaced on a smooth horizontal table, two blocks of equal mass m are connected by a light string. A constant force F is applied to pull one of the blocks along the line connecting tIn a TV picture tube, electrons are emitted from the cathode with negligible speed and attain a velocity of 5 10⁶ m/s after travelling one centimeter. Assuming straight line motionTravelling at 40 km/h , a car must be brought to a halt by applying brakes within the next 4.0 m . Given that the car weighs 2000 kg , determine the average force that must be applA particle of mass 50 g travels along a straight line. The variation of its speed with time is displayed in the figure. Determine the force acting on the particle at t = 2 , 4 , anTwo blocks A and B having masses m_A and m_B respectively are placed in contact on a frictionless table. An experimenter pushes block A from behind, causing the blocks to acceleratRaindrops, each having a radius of 1 mm and a mass of 4 mg , are falling at a speed of 30 m/s onto the head of a bald person. Upon splashing on the head, the drops come to rest. As Full Newton's Laws of Motion list All Concepts Of Physics MCQ Edition [Volume 1] PYQs