Advertisements
Advertisements
Question
A block of 2 kg is suspended from a ceiling by a massless spring of spring constant k = 100 N/m. What is the elongation of the spring? If another 1 kg is added to the block, what would be the further elongation?
Advertisements
Solution
Given,
mass of the first block, m = 2 kg
k = 100 N/m
Let elongation in the spring be x. 
From the free-body diagram,
kx = mg
\[x = \frac{mg}{k} = \frac{2 \times 9 . 8}{100}\]
\[ = \frac{19 . 6}{100} = 0 . 196 \approx 0 . 2 m\]
Suppose, further elongation, when the 1 kg block is added, is \[∆ x\] Then, \[k\left( x + ∆ x \right) = m'g\]
⇒ k \[∆ x\] 3g − 2g = g
\[\Rightarrow ∆ x = \frac{g}{k} = \frac{9 . 8}{100} = 0 . 098 \approx 0 . 1 m\]
APPEARS IN
RELATED QUESTIONS
If the speed of the stone is increased beyond the maximum permissible value, and the string breaks suddenly, which of the following correctly describes the trajectory of the stone after the string breaks?
Name the scientist who gave the laws of motion.
Is it possible for a particle to describe a curved path if no force acts on it? Does your answer depend on the frame of reference chosen to view the particle?
A block of mass 10 kg is suspended from two light spring balances, as shown in the following figure.
Neglect the effect of rotation of the earth. Suppose the earth suddenly stops attracting objects placed near its surface. A person standing on the surface of the earth will.
A particle is found to be at rest when seen from a frame S1 and moving with constant velocity when seen from another frame S2. Mark out the possible options.
(a) Both the frames are inertial.
(b) Both the frames are non-inertial.
(c) S1 is inertial and S2 is non-inertial.
(d) S1 is non-inertial and S2 is inertial
If you jump barefoot on a hard surface, your legs are injured. But they are not injured if you jump on a soft surface like sand or pillow. Why?
An object of mass 2 kg is sliding with a constant velocity of 4 m/s on a frictionless horizontal table. The force required to keep this object moving with the same velocity is :
State and explain the law of inertia (or Newton's first law of motion).
Give qualitative definition of force on the basic of Newton's first law of motion.
A force of 600 dynes acts on a glass ball of mass 200 g for 12 s. If initially, the ball is at rest, find
- Final velocity
- Distance covered.
What do you mean by inertia of motion?
Give one example each of inertia of rest and inertia of motion.
Name the different kinds of inertia an object can possess. Give an example of each.
The amount of inertia of a body depends on its _________.
Name the scientist who first stated the law of inertia.
Classify the types of force based on their application.
When a bus suddenly takes a tum, the passengers are thrown outwards because of
A mass of 2 kg is suspended with thread AB (Figure). Thread CD of the same type is attached to the other end of 2 kg mass. Lower thread is pulled gradually, harder and harder in the downward directon so as to apply force on AB. Which of the threads will break and why?
