Question

Notify Me Bookmark

A flexible rope of length 1.0 m slides from a frictionless table top as shown in the Figure below. The rope is initially released from rest with 25 cm hanging over the edge of the table. Find the time at which the left end of the rope reaches the edge of the table. [32] A particle of mass m1, and velocity u1, collides with a particle of mass m2 at rest. The two particles stick together. What fraction of the original kinetic energy is lost in the collision? [18]

A flexible rope of length 1.0 m slides from a frictionless table top as shown in the Figure below. The rope is initially released from rest with 25 cm hanging over the edge of the table. Find the time at which the left end of the rope reaches the edge of the table. [32] A particle of mass m1, and velocity u1, collides with a particle of mass m2 at rest. The two particles stick together. What fraction of the original kinetic energy is lost in the collision? [18]

Image text
  1. A flexible rope of length 1.0 m slides from a frictionless table top as shown in the Figure below. The rope is initially released from rest with 25 c m hanging over the edge of the table. Find the time at which the left end of the rope reaches the edge of the table. [ 32 ]
  2. A particle of mass m 1 , and velocity u 1 , collides with a particle of mass m 2 at rest. The two particles stick together. What fraction of the original kinetic energy is lost in the collision? [ 18 ]

Detailed Answer

2 0

Please enter your email here. You will get email when this question is answered by our tutor.

Answer
Doubtrix Logo

This Problem has been solved!

You'll get a detailed, step-by-step and expert verified solution.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Login Sign Up
  • Student Reviews:
  • (2)
  • Correct answers (2)
  • Complete solution (2)
  • Step-by-step solution (2)
  • Fully explained (2)

Similar/Related Questions

A disk of mass m1 = 70.0 g and radius r1 = 3.50 cm slides on a frictionless sheet of ice with velocity v→, where v = 14.00 m/s, as shown in a top-down view in figure (a) below. The edge of this disk just grazes the edge of a second disk in a glancing blow. The second disk has a mass m2 = 140 g, a radius r2 = 5.00 cm, and is initially at rest. As the disks make contact, they stick together due to highly adhesive glue on the edge of each, and then rotate after the collision as shown in figure (b). (i) (a) What is the magnitude of the angular momentum (in kg⋅m2 /s ) of the two-disk system relative to its center of mass? kg⋅m2/s (b) What is the angular speed (in rad/s) about the center of mass? rad/s

Solution
3 0

Consider a frictionless track as shown in the figure below. A block of mass m1 = 2.00 kg is released from point (A) from a height of h = 1.15 m. It makes a perfectly inelastic collision at point (B) with a block of mass m2 = 2.00 kg that is initially at rest. After the collision, the block of mass m2 moves to the right and collides with a spring at point ( C . The spring is attached to a wall and has a spring constant of 8.59 kN/m. (a) Calculate the energy loss during the collision. Enter the magnitude. J (b) Calculate the maximum compression of the spring. cm (c) Instead of an inelastic collision, consider a head-on elastic collision at point B. During this specific elastic collision when the masses are equal, m1 transfers its kinetic energy to m2 and as a result, m1 comes to rest. Calculate the maximum compression of the spring. cm
Solution
3 0

As shown in Figure 3(a), a wooden block B with mass mB = 2.4 kg on a rough inclined plane is connected to a massless spring ( k = 160 N/m ) by a massless cord passing over a pulley P of radius R = 0.25 m and mass Mp = 0.60 kg. The angle of the inclined plane is θ = 37∘ and the coefficients of static and kinetic frictions are μs = 0.35 and μk = 0.30 respectively. The frictional force at the axle of the pulley is negligible. The pulley can be regarded as a solid disk. (a) The system is at rest and in this case, block B is on the verge of sliding down. Figure 3(a) i. Indicate (with labeled arrows) the forces acting on the pulley and the block. ii. Calculate the tension in the string and the extension of the spring. (You can assume that the tensions in the cord on either side of the pulley P are the same for this part.) (b) As shown in Figure 3(b), another wooden block A of mass mA = 1.2 kg made of the same material as block B is released from rest. It slides down a distance l down the rough inclined plane and collides with block B. The two blocks stick together and move down the incline with a common velocity v = 0.80 m/s immediately after collision and the pulley rotates. The cord does not stretch and does not slip on the pulley. Figure 3(b) i. Determine the distance l. ii. Determine the acceleration of the two blocks at the moment they move down together and the pulley starts to rotate. iii. Determine how much further down the slope the two blocks move together after they collide before the two blocks come to a momentary rest.
Solution
0 0