### Physics Problem: Collision and Motion on a Frictionless Track#### Problem Description:A block with mass \( m_1 = 0.450 \, \text{kg} \) is released from rest on a frictionless track at a distance \( h_1 = 2.20 \, \text{m} \) above the top of a table. It then collides elastically with an object having mass \( m_2 = 0.900 \, \text{kg} \) that is initially at rest on the table, as shown in the figure below.#### Figure Explanation:The illustration features a block of mass \( m_1 \) at the top of a frictionless curved track that descends to a flat horizontal section atop a table. The track ends at the table height \( h_2 \), which is \( 1.50 \, \text{m} \). The block \( m_1 \) collides elastically with another block \( m_2 \), which is resting at the end of the track atop the table. After the collision, both blocks land on the ground at different distances from the table.![Diagram](path or description of image)#### Questions:(a) Determine the velocities of the two objects just after the collision. (Assume the positive direction is to the right. Indicate the direction with the signs of your answers.) - \( v_1 = \underline{\hspace{3cm}} \, \text{m/s} \) - \( v_2 = \underline{\hspace{3cm}} \, \text{m/s} \)(b) How high up the track does the \( 0.450 \,\text{kg} \) object travel back after the collision? - \(\underline{\hspace{3cm}} \, \text{m}\)(c) How far away from the bottom of the table does the \( 0.900 \, \text{kg} \) object land, given that the height of the table is \( h_2 = 1.50 \, \text{m}\)? - \(\underline{\hspace{3cm}} \, \text{m}\)(d) How far away from the bottom of the table does the \( 0.450 \, \text{kg} \) object eventually land? - \(\underline

As the question is having more than three sub parts, first three are solved.

A block with mass m, = 0.450 kg is released from rest on a frictionless track at a distance h, = 2.20 m above the top of a table. It then collides elastically with an = 0.900 kg that is initially at rest on the table, as shown in the figure below. object having mass m2

A block with mass m, = 0.450 kg is released from rest on a frictionless track at a distance h, = 2.20 m above the top of a table. It then collides elastically with an = 0.900 kg that is initially at rest on the table, as shown in the figure below. object having mass m2

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)...

See similar textbooks

Related questions

Q: gelatin block with mass 1.00kg is sitting at rest on top of a horizontal surface. The coefficient of…

Q: Military rifles have a mechanism for reducing the recoil forces of the gun on the person firing it.…

Q: Two balls with masses 170 g and 340 g make a head-on elastic collision. Before the collision, the…

A: Given: Mass of first ball, m1 = 170g Mass of second ball, m2 = 340g Speed of first ball (170g), v1 =…

Q: A police car with a mass of 1800 kg is going West at 60 km/h when it has an inelastic collision with…

A: Given: The mass of the car is m1 = 1800 kg The velocity of the car towards the west is v1 = 60 km/hr…

Q: A 0.550 kg hammer is moving horizontally at 5.00 m/s when it strikes a nail and comes to rest after…

Q: Two objects constitute an isolated system. In an elastic collision between the two objects, which…

Q: A truck with a mass of 1790 kg and moving with a speed of 13.0 m/s rear-ends a 741 kg car stopped at…

A: Given : Mass of a truck (m1) = 1790 kg Initial speed of truck (u1) = 13 m/s Mass of car (m2) = 741…

Q: 3. A 19.0 kg curling stone is travelling at 3.0 m/s [N] along the smooth ice when it hits an…

Q: A bullet of mass m = 8.00 g is fired into a block of mass M = 270 g that is initially at rest at the…

Q: A girl is skipping rocks across a lake. One of the rocks accidentally ricochets off a toy boat…

Q: A truck with a mass of 1780 kg and moving with a speed of 12.5 m/s rear-ends a 615 kg car stopped at…

A: Answer:- Given Mass of truck (M) = 1780 kg Speed of truck (u) = 12.5 m/s Mass of car (m) = 615…

Q: A 3.12-kg steel ball strikes a massive wall at 10.0 m/s at an angle of 8 = 60.0° with the plane of…

A: Mass (m) = 3.12 kg Velocity (v) = 10.0 m/s Time of contact ( t ) = 0.210 s

Q: Two asteroids of equal mass in the asteroid belt botwoon Mare and lunitor collido with a alancing…

Q: A 55kg woman and a 75kg man stand 13m apart on frictionless ice. a)How far from the woman is their…

A: Given: Woman's mass, mw=55 kg Man's mass, mm=75 kg separation distance, r=13 m We know, COM is…

Q: A 29-gg rifle bullet traveling 230 m/sm/s embeds itself in a 3.3-kgkg pendulum hanging on a…

Q: 5. A 250 grams ball is fired from a spring gun into a 12 kg block of ballistic pendulum. The block…

A: Given: The mass of the ball is 250 g. The mass of the pendulum is 12 kg. The height raised of the…

Q: Estimate the average acceleration magnitude, in ft/s^2, of the goose in the collision. b. Estimate…

Q: A 0.300 kg hammer is moving horizontally at 6.00 m/s when it strikes a nail and comes to rest after…

A: Mass of the hammer, m= 0.300 kg Speed of the hammer initially, u = 6.00 m/s Speed of the hammer as…

Q: A 26-g rifle bullet traveling 240 m/s embeds itself in a 3.7-kg pendulum hanging on a 2.6-m-long…

Q: Military rifles have a mechanism for reducing the recoil forces of the gun on the person firing it.…

Q: Problem 3 Chapter 6: A block with mass m;= 0.5-kg is released from rest on a frictionless track at a…

A: The energy possessed by an object raised to a height h above the ground is known as the…

Q: In the figure below, a 12 g bullet moving directly upward at 1000 m/s strikes and passes through the…

Q: What type of collision is this" m2 Before m, Vz After m,+ m, Inelastíc Collision D Elastic Collision…

A: Collisions are phenomenon's in which objects exert force on each other over a period of time .They…

Q: A 5.00 g bullet is fired horizontally at a speed of 159 m/s into a 2.50 kg wooden block resting on a…

Q: A 0.450 kg hammer is moving horizontally at 9.50 m/s when it strikes a nail and comes to rest after…

Q: A lab technician holds a gun near an 8.0-kg wooden block that is initially at rest on a level…

Q: In the figure, block 1 of mass m, slides from rest along a frictionless ramp from height h = 2.9 m…

Q: A 300 kg object moving at a velocity of 5 m/s i collides with a 450 object moving at -2 m/s i. After…

Q: You throw a 145-gram baseball horizontally into a 3.3-kg box which is at rest on a table top. The…

A: using conservation of momentum 0.145*41 = (3.3 + 0.145)V V = 1.7257 m/sd = 25 cm

Question

### Physics Problem: Collision and Motion on a Frictionless Track

#### Problem Description:
A block with mass \( m_1 = 0.450 \, \text{kg} \) is released from rest on a frictionless track at a distance \( h_1 = 2.20 \, \text{m} \) above the top of a table. It then collides elastically with an object having mass \( m_2 = 0.900 \, \text{kg} \) that is initially at rest on the table, as shown in the figure below.

#### Figure Explanation:
The illustration features a block of mass \( m_1 \) at the top of a frictionless curved track that descends to a flat horizontal section atop a table. The track ends at the table height \( h_2 \), which is \( 1.50 \, \text{m} \). The block \( m_1 \) collides elastically with another block \( m_2 \), which is resting at the end of the track atop the table. After the collision, both blocks land on the ground at different distances from the table.

![Diagram](path or description of image)

#### Questions:
(a) Determine the velocities of the two objects just after the collision. (Assume the positive direction is to the right. Indicate the direction with the signs of your answers.)
- \( v_1 = \underline{\hspace{3cm}} \, \text{m/s} \)
- \( v_2 = \underline{\hspace{3cm}} \, \text{m/s} \)

(b) How high up the track does the \( 0.450 \,\text{kg} \) object travel back after the collision?
- \(\underline{\hspace{3cm}} \, \text{m}\)

(c) How far away from the bottom of the table does the \( 0.900 \, \text{kg} \) object land, given that the height of the table is \( h_2 = 1.50 \, \text{m}\)?
- \(\underline{\hspace{3cm}} \, \text{m}\)

(d) How far away from the bottom of the table does the \( 0.450 \, \text{kg} \) object eventually land?
- \(\underline

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

43. Three 200-g objects have velocities given by v 15.0 m/s, v₂ = 6.71-3.45j m/s, and 3 = -6.71 - 4.32j m/s. Find the kinetic energy of the center of mass and the internal kinetic energy of this system. =
A truck with a mass of 1600 kg and moving with a speed of 13.5 m/s rear-ends a 585 kg car stopped at an intersection. The collision is approximately elastic since the car is in neutral, the brakes are off, the metal bumpers line up well and do not get damaged. Find the speed of both vehicles after the collision in meters per second. V car 6.27 m/s V truck = 19.77 X m/s
6. A block of mass m, = 5.0 kg is released from a height of 5.0 m (point A) down a smooth, curved ramp. It makes an elastic head-on collision with a block of mass m; = 10 kg that is initially at rest. (a) What is the maximum height reached by m, after the collision? (b) After the collision, m2 glides smoothly until it hits a rough patch and eventually comes to a stop. What is the length of the rough patch if the coefficient of kinetic friction between m, and the rough patch is 0.350?
I. A lump of clay (m = 3.00 kg) is thrown towards a wall at speed v = 3.00 m/s. The lump sticks to the wall. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. II. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 3.00 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. III. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 2.00 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during…
A 2.64-kg steel ball strikes a massive wall at 10.0 m/s at an angle of 0 - 60.0° with the plane of the wall. It bounces off the wall with the same speed and angle (see the figure below). If the ball is In contact with the wall for 0.164 s, what is the average force exerted by the wall on the ball? magnitude direction --Select- v
A 980-kgkg sports car collides into the rear end of a 2500-kgkg SUV stopped at a red light. The bumpers lock, the brakes are locked, and the two cars skid forward 2.9 mm before stopping. The police officer, estimating the coefficient of kinetic friction between tires and road to be 0.80, calculates the speed of the sports car at impact. v= ? m/s *0.40 and 0.76 m/s are wrong
If an object feels an impulse J→ then... a) the velocity of the object must be constant b) the force acting on the object must be constant c) the object's momentum must have changed d) the object's momentum must be constant
A ball has a mass of 10-Kg and is traveling to the right at 30 m/s. A second ball, which is suspended from a string and has a mass of 15-Kg, is traveling to the left at 12 m/s. The two balls experience an elastic head-on collision when the string is vertical. Determine:a) the speed of each ball after impactb) the height that the second ball will rise with respect to its lowest position (AFTER IMPACT)
1. A lump of clay (m = 3.00 kg) is thrown towards a wall at speed v = 3.00 m/s. The lump sticks to the wall. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wallI. (c) Calculate percent of initial kinetic energy lost during this collision. II. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 3.00 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. III. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 2.00 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost…
two balls, m1= 2 kg and m2= 5 kg, can slide without friction on a rod. a spring with a rigidity coefficient of k= 1000 N/m was connected to the ball with a mass of m2. since v1= 14 m/s and v2= 0; a) find the maximum compression that will occur in the spring when the balls collide. b) find the final speed of the balls after the collision. m, m2 k V1