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1. A ball with a mass of 10.0 g hits a 5.0 kg block of wood tied to a string, as shown. You may assume that there is no friction from the string. The ball hits the block in a completely inelastic collision, causing the block to rise to a maximum height of 8.0 cm. Find the initial horizontal speed of the ball. You may assume that the string is very long. ||| Ah = 8.0 cm Press here for long description 2.A 1.2 kg cart moving at 6.0 m/s [E] collides with a stationary 1.8 kg cart. The head-on collision is completely elastic and is cushioned by a spring. a. Find the velocity of each cart after the collision. b. The maximum compression of the spring during the collision is 2.0 cm. Find the spring constant.

1. A ball with a mass of 10.0 g hits a 5.0 kg block of wood tied to a string, as shown. You may assume that there is no friction from the string. The ball hits the block in a completely inelastic collision, causing the block to rise to a maximum height of 8.0 cm. Find the initial horizontal speed of the ball. You may assume that the string is very long. ||| Ah = 8.0 cm Press here for long description 2.A 1.2 kg cart moving at 6.0 m/s [E] collides with a stationary 1.8 kg cart. The head-on collision is completely elastic and is cushioned by a spring. a. Find the velocity of each cart after the collision. b. The maximum compression of the spring during the collision is 2.0 cm. Find the spring constant.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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ONLY question 2 b)

so what I would like you to do is read the questions and  read the feedback and fix my answers thats all 

 

here is the question : 

 

Here is the feedback : 

You still did not take into consideration that the combined masses are moving when the spring is compressed. Find speed of combined mass at maximum compression using Momentum equation PTI = PTF and then use Energy Equations to solve for the spring constant.  Ek1 + Ek2 = EkT + EE  Where EE is the elastic energy stored in the spring. Then use EE = 0.5kx2 to solve for k

here is my answer : fix it correctly and give me the final answer : 

Mass of cart 1 (m₁) = 1.2 kg Initial velocity of cart 1 (v₁₁) = 6.0 m/s Mass of cart 2 (m₂) = 1.8 kg Initial velocity of cart 2 (V₂i) = 0 m/s Maximum compression of the spring (x) = 2 cm = 0.02 m The maximum compression of the spring occurs when all the kinetic energy is converted into potential energy in the spring. The potential energy stored in a spring is given by P.E. =-=kx² where k is the spring constant and x is the displacement (compression in this case). The potential energy stored in the compressed spring is equal to the initial kinetic energy of the system, The potential energy of the spring = Initial kinetic energy 1/1/2xKxx²= = 1/2 xm₁ × (v₁,;)² + 1/{ xm₂×(√₂₁)² X 11/12× -×k×(0.02 m)² = —×(1.2 kg)× (6.0 m / s)² + 1 ×(1.8 kg)× (0 m/ 2 (0.0002 m²) xk = 21.6 J+ 0 J 21.6 J 0.0002 m² k= 108000 N/m (b) The spring constant is 108000 N/m. K=
Transcribed Image Text:Mass of cart 1 (m₁) = 1.2 kg Initial velocity of cart 1 (v₁₁) = 6.0 m/s Mass of cart 2 (m₂) = 1.8 kg Initial velocity of cart 2 (V₂i) = 0 m/s Maximum compression of the spring (x) = 2 cm = 0.02 m The maximum compression of the spring occurs when all the kinetic energy is converted into potential energy in the spring. The potential energy stored in a spring is given by P.E. =-=kx² where k is the spring constant and x is the displacement (compression in this case). The potential energy stored in the compressed spring is equal to the initial kinetic energy of the system, The potential energy of the spring = Initial kinetic energy 1/1/2xKxx²= = 1/2 xm₁ × (v₁,;)² + 1/{ xm₂×(√₂₁)² X 11/12× -×k×(0.02 m)² = —×(1.2 kg)× (6.0 m / s)² + 1 ×(1.8 kg)× (0 m/ 2 (0.0002 m²) xk = 21.6 J+ 0 J 21.6 J 0.0002 m² k= 108000 N/m (b) The spring constant is 108000 N/m. K=
1. A ball with a mass of 10.0 g hits a 5.0 kg block of wood tied to a string, as shown. You may assume that there is no friction from the string. The ball hits the block in a completely inelastic collision, causing the block to rise to a maximum height of 8.0 cm. Find the initial horizontal speed of the ball. You may assume that the string is very long. ||| Ah = 8.0 cm Press here for long description 2.A 1.2 kg cart moving at 6.0 m/s [E] collides with a stationary 1.8 kg cart. The head-on collision is completely elastic and is cushioned by a spring. a. Find the velocity of each cart after the collision. b. The maximum compression of the spring during the collision is 2.0 cm. Find the spring constant.
Transcribed Image Text:1. A ball with a mass of 10.0 g hits a 5.0 kg block of wood tied to a string, as shown. You may assume that there is no friction from the string. The ball hits the block in a completely inelastic collision, causing the block to rise to a maximum height of 8.0 cm. Find the initial horizontal speed of the ball. You may assume that the string is very long. ||| Ah = 8.0 cm Press here for long description 2.A 1.2 kg cart moving at 6.0 m/s [E] collides with a stationary 1.8 kg cart. The head-on collision is completely elastic and is cushioned by a spring. a. Find the velocity of each cart after the collision. b. The maximum compression of the spring during the collision is 2.0 cm. Find the spring constant.
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