मराठी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान इयत्ता ११

A Small Block B is Placed on Another Block a of Mass 5 Kg and Length 20 Cm. Initially, the Block B is Near the Right End of Block a (Figure 5−E3). a Constant Horizontal Force of 10 N is Applied

Advertisements
Advertisements

प्रश्न

A small block B is placed on another block A of mass 5 kg and length 20 cm. Initially, the block B is near the right end of block A (In the following Figure). A constant horizontal force of 10 N is applied to the block A. All the surfaces are assumed frictionless. Find the time that elapses before block B separates from A.

बेरीज
Advertisements

उत्तर

Mass of block A, m = 5 kg
 F = ma = 10 N
\[\Rightarrow a = \frac{10}{5} = 2 m/ s^2\]
As there is no friction between A and B, when block A moves, block B remains at rest in its position.
Initial velocity of A, u = 0
Distance covered by A to separate out,
s = 0.2 m
Using \[s = ut + \frac{1}{2}a t^2\]
\[0 . 2 = 0 + \frac{1}{2} \times 2 t^2\]
⇒ t2 = 0.2
⇒ t = 0.44 s ≈ 0.45 s

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Newton's Laws of Motion - Exercise [पृष्ठ ७९]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
पाठ 5 Newton's Laws of Motion
Exercise | Q 11 | पृष्ठ ७९

संबंधित प्रश्‍न

A helicopter of mass 1000 kg rises with a vertical acceleration of 15 m s–2. The crew and the passengers weigh 300 kg. Give the magnitude and direction of the

(a) force on the floor by the crew and passengers,

(b) action of the rotor of the helicopter on the surrounding air,

(c) force on the helicopter due to the surrounding air.


An object is placed far away from all the objects that can exert force on it. A frame of reference is constructed by taking the origin and axes fixed in this object. Will the frame be necessarily inertial?


A person says that he measured the acceleration of a particle to be non-zero even though no force was acting on the particle.


Two blocks of equal mass m are tied to each other through a light string. One of the blocks is pulled along the line joining them with a constant force F. Find the tension in the string joining the blocks.


In a simple Atwood machine, two unequal masses m1 and m2 are connected by a string going over a clamped light smooth pulley. In a typical arrangement (In the following figure), m1 = 300 g and m2 = 600 g. The system is released from rest. (a) Find the distance travelled by the first block in the first two seconds; (b) find the tension in the string; (c) find the force exerted by the clamp on the pulley.


Consider the situation shown in the following figure  All the surfaces are frictionless and the string and the pulley are light. Find the magnitude of acceleration of the two blocks.


A block A can slide on a frictionless incline of angle θ and length l, kept inside an elevator going up with uniform velocity v in the following figure. Find the time taken by the block to slide down the length of the incline if it is released from the top of the incline.


An aeroplane is moving uniformly at a constant height under the action of two forces (i) Upward force (lift) and (ii) Downward force (weight). What is the net force on the aeroplane?


The correct form of Newton's second law is : 


Calculate the velocity of a body of mass 0.5 kg, when it has a linear momentum of 5 Ns.


A body of mass 200 g is moving with a velocity of 5 ms−1. If the velocity of the body changes to 17 ms−1, calculate the change in linear momentum of the body.


A motorcycle of mass 100 kg is running at 10 ms−1. If its engine develops an extra linear momentum of 2000 Ns, calculate the new velocity of a motorcycle.


What causes motion in a body?


State Newton's second law of motion. Is Newton's first law of motion contained in Newton's second law of motion?


A ball is thrown upward and reaches a maximum height of 19.6 m. Find its initial speed?


What do you mean by the conservation of momentum? Briefly, explain the collision between two bodies and the conservation of momentum.


The motion of a particle of mass m is given by x = 0 for t < 0 s, x(t) = A sin 4 pt for 0 < t < (1/4) s (A > o), and x = 0 for t > (1/4) s. Which of the following statements is true?

  1. The force at t = (1/8) s on the particle is – 16π2 Am.
  2. The particle is acted upon by on impulse of magnitude 4π2 A m at t = 0 s and t = (1/4) s.
  3. The particle is not acted upon by any force.
  4. The particle is not acted upon by a constant force.
  5. There is no impulse acting on the particle.

A woman throws an object of mass 500 g with a speed of 25 ms1.

  1. What is the impulse imparted to the object?
  2. If the object hits a wall and rebounds with half the original speed, what is the change in momentum of the object?

Figure shows (x, t), (y, t ) diagram of a particle moving in 2-dimensions.


(a)


(b)

If the particle has a mass of 500 g, find the force (direction and magnitude) acting on the particle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×