Question

Notify Me Bookmark

A body (1) of mass m1 = 1 kg is released from rest from a height of h1 = 1 m. It then travels down the frictionless ramp, and collides at position A with another body (2) of mass m2 = 4 kg. The coefficient of restitution e = 0.8. Find: a) the (vertical) height h2 up the ramp that body 1 (the 1 kg mass) rebounds to after the collision (insert below) b) the velocity vector of the 4 kg body after the collision (show on worksheet)

A body (1) of mass m1 = 1 kg is released from rest from a height of h1 = 1 m. It then travels down the frictionless ramp, and collides at position A with another body (2) of mass m2 = 4 kg. The coefficient of restitution e = 0.8. Find: a) the (vertical) height h2 up the ramp that body 1 (the 1 kg mass) rebounds to after the collision (insert below) b) the velocity vector of the 4 kg body after the collision (show on worksheet)

Image text
A body (1) of mass m 1 = 1 k g is released from rest from a height of h 1 = 1 m . It then travels down the frictionless ramp, and collides at position A with another body (2) of mass m 2 = 4 k g . The coefficient of restitution e = 0.8 . Find: a) the (vertical) height h 2 up the ramp that body 1 (the 1 k g mass) rebounds to after the collision (insert below) b) the velocity vector of the 4 k g body after the collision (show on worksheet)

Detailed Answer

0 0

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

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

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
Notify me Login Sign Up

Similar/Related Questions

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

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
0 0

Potential energy is given by PE = mgh Kinetic energy is given by KE = mv2 2 Figure 7: Trade in joules between potential and kinetic energy Consider the situation in figure 7, the total mechanical energy is 6 J. There is no loss or gain of mechanical energy, only a transformation from kinetic energy to potential energy (and vice versa). The ball, of mass m = 1 kg is released from rest. Answer the following questions: Question #:1 At point A:What is the potential energy of the ball? What is the height of the ball? What is the velocity of the ball at that point? -What is the kinetic energy? Question #:2 At point B, if the potential energy is equal to the kinetic energy (PE = KE = 3 J)What is the height H of the ball? What is the velocity of the ball at that height? Question #:3 At point C, the potential energy is zero. What is the kinetic energy of the ball? What is the velocity of the ball at that point? How would you describe the velocity at this particular point? Explain Question #:4 At point D, the ball is at the same height as in point A, it reaches a maximum height then stops before reversing direction. What is the potential energy? What is the kinetic energy of the ball? What happened to kinetic energy at that position? Question #:5 While the pendulum is oscillating between positions, use the words increase, decrease, or constant to describe the trend of the different forms of energies. Complete table 2 Table 2: Trend of the different forms of energy of a swinging pendulum Question #:6 Using figure 7, identify the corresponding positions A, B and C in figure 8 Discuss the different energies, and speeds of the glider on those points based on your study of the pendulum.Potential energy is given by PE = mgh Kinetic energy is given by KE = mv2 2 Figure 7: Trade in joules between potential and kinetic energy Consider the situation in figure 7, the total mechanical energy is 6 J. There is no loss or gain of mechanical energy, only a transformation from kinetic energy to potential energy (and vice versa). The ball, of mass m = 1 kg is released from rest. Answer the following questions: Question #:1 At point A:What is the potential energy of the ball? What is the height of the ball? What is the velocity of the ball at that point? -What is the kinetic energy? Question #:2 At point B, if the potential energy is equal to the kinetic energy (PE = KE = 3 J)What is the height H of the ball? What is the velocity of the ball at that height? Question #:3 At point C, the potential energy is zero. What is the kinetic energy of the ball? What is the velocity of the ball at that point? How would you describe the velocity at this particular point? Explain Question #:4 At point D, the ball is at the same height as in point A, it reaches a maximum height then stops before reversing direction. What is the potential energy? What is the kinetic energy of the ball? What happened to kinetic energy at that position? Question #:5 While the pendulum is oscillating between positions, use the words increase, decrease, or constant to describe the trend of the different forms of energies. Complete table 2 Table 2: Trend of the different forms of energy of a swinging pendulum Question #:6 Using figure 7, identify the corresponding positions A, B and C in figure 8 Discuss the different energies, and speeds of the glider on those points based on your study of the pendulum.
Solution
0 0