### Understanding Impulse and MomentumImpulse and momentum are fundamental concepts in physics that describe the motion of objects. Here's a breakdown of the key principles and equations involved:#### Key Equations:1. **Momentum (p)** \[ p = mv \] * $ p $ = momentum * $ m $ = mass (in kilograms) * $ v $ = velocity (in meters per second)2. **Impulse (J)** \[ J = Ft \] * $ J $ = impulse * $ F $ = force applied (in Newtons) * $ t $ = time over which the force is applied (in seconds)3. **Impulse-Momentum Theorem** \[ Ft = m \Delta v \] * $ F $ = force * $ t $ = time * $ m $ = mass * $ \Delta v $ = change in velocity#### Problem StatementWhat impulse is needed to stop a 1700 kg car in 15 seconds if it was originally moving at 25 m/s?To solve this problem, we need to find the impulse ($ J $) required to bring the car to a stop. We are given:- Mass of the car ($ m $) = 1700 kg- Initial velocity ($ v $) = 25 m/s- Final velocity ($ v_f $) = 0 m/s (since the car stops)- Time ($ t $) = 15 secondsUsing the Impulse-Momentum Theorem ($ Ft = m \Delta v $), we can calculate the impulse.First, determine the change in velocity ($ \Delta v $):\[\Delta v = v_f - v = 0 - 25 = -25 \, \text{m/s}\]Then, calculate the impulse:\[J = m \Delta v\]\[J = 1700 \times (-25)\]\[J = -42500 \, \text{Ns}\]The negative sign indicates that the impulse is in the direction opposite to the car's initial motion in order to bring it to a stop. Thus, the magnitude of the impulse needed is **42500 Ns**.This example illustrates how to apply the

Given Mass (m) = 1700 kg velocity (vi) = 25 m/s Time (∆t)= 15 s When car stops vf = 0…

Answered: p = mv J = Ft Ft = m Av What impulse is…

p = mv J = Ft Ft = m Av What impulse is needed to stop a 1700 kg car in 15 seconds if it was originally moving at 25 m/s?

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: A novice skier with weight of 65kg poorly navigates the bunny slopes. The skier reaches the bottom…

Q: A baseball (mass = 0.145kg) traveling to the left at 27m/s. It is hit by a bat and ends up traveling…

A: Given data: Mass (m) = 0.145 kg Initial velocity (Vi) = 27 m/s, to the left Final velocity (Vf) = 41…

Q: A 2.00 kg brick, initially traveling at 6.00m/s, increased its speed to 8.00 m/s. What is the…

Q: A 1500 kg car travels at 30 m/s and then quickly stops in 4.2 s to avoid an obstacle. What is the…

A: The initial momentum of the car is given by, pi=mvi Here, m is the mass of the car and vi is the…

Q: A tennis ball of mass .06 kg and speed 25 m/s strikes a wall at a 60° angle as shown and rebounds…

A: Given Data:- Mass of the tennis ball is m=0.06 kg. Speed of the ball is v=25 m/s. The ball strikes…

Q: A group of engineers is testing collision safety for a new car. They are finding the impulse on the…

Q: . How fast must an 823 kg Geo travel (a) to have the same linear momentum as a 2770 kg Cadillac…

A: Given Mass of geo travel m1=823 kg Mass of Cadillac m2=2770kg Velocity of Cadillac v2= 31km/h…

Q: A grasshopper of mass 400.0 mg jumps directly upward by 18.0 cm a)What is the impulse delivered by…

A: Impulse is nothing but the change in momentum and the rate of change of momentum is called force.

Q: A 150 g ball is dropped from a height of 3.0 m. It bounces on a hard floor and rebounds to a height…

A: The velocity of the ball just before it touches the ground can be obtained as…

Q: Alexis bounced a 0.550 kg rubber ball on the floor. The ball's speed just before hitting the floor…

A: Given: Mass of the rubber ball = 0.550 Kg Speed before hitting the floor = 5.4 m/s Speed after…

Q: Going back to the same velocity-time graph, calculate the impulse. Remember the billiard ball is 170…

A: Initial velocity is approximately -3.5 m/s and final velocity is 3.5 m/s. Change in velocity =…

Q: A novice skier with mass of 65 kg poorly navigates the bunny slopes. The skier reaches the bottom of…

Q: A 49 kg boy on roller skates moves with a speed of 6 m/s. He runs into a 39 kg girl on skates.…

A: Given that, The mass of the boy m1=49 kg. The mass of the girl m2 =39 kg. The initial speed of…

Q: A 3kg object travels with a velocity 4 m/s to the east. It then changes direction and moves 3 m/s to…

Q: A novice skier with a mass of 72 kg poorly navigates the bunny slopes. The skier reaches the bottom…

A: A force that acts for a very short time is called impulse force. According to Newton's second law…

Q: A 260g ball dropped from a height of 2.0m, bounces on a hard floor, and rebounds to a height of…

A: (given) Mass (m) of a ball = 260 g Height (h) = 2 m Height (H) of ball during rebound =…

Q: A roller coaster climbs up a hill at 4 m/s and then zips down the hill at 30 m/s. The momentum of…

Q: (a) If my $15.0fkol and m2- 625.0[kg], what is the velocity of car 2 immediately after the…

Q: A ball with a mass of 65 kg collides with a ball that has a mass of 112kg. It is an ellastic…

A: Given:mass, m1=65 kgmass,m2=112 kgVelocity,u1=8 m/sVelocity,u2=-3 m/sNow,conservation of momentum…

Q: rowboat passenger uses an oar to push the boat off the dock by exerting a force of 40 N for 3 s.…

Q: Q3 : A car of mass 1000 Kg collides with a wall The initial and final velocity of the car are Vi = 6…

A: The impulse here can be obtained as ∆p=m∆v=mvf-vi=1000kg20m/s-6m/s=14000Ns

Q: 5. A 2 kg object has the velocity graph shown. Show all your work! a. What is the object's initial…

Q: A 14 kg rock starting from rest free falls through a distance of 5.0 m with no air resistance. Find…

Q: A novice skier poorly navigates the bunny slopes. The skier reaches the bottom of the hill traveling…

A: Given data The mass of the skier is m=65 kg The initial velocity is u=5.0 m/s The final velocity is…

Q: Suppose a 1.25-kg ball is thrown against a wall at a speed of 15 m/s. After it hits the wall, the…

A: Given Mass of the ball is m=1.25 kg Initial speed of the ball is v0=15 m/s Final speed of the ball…

Q: mass 6500 kg and traveling at 95 km/h, collide head-on and come to rest. The mechanical energy lost…

A: Impulse = change in momentum Impulse = 6500×(0-95×5÷18) Impulse= 171527.77kgm/s

Q: A basketball (m = 0.60 kg) is dropped from rest. Just before striking the floor, the ball has a…

A: Mass of the basketball m = 0.6 kgMomentum of the ball just before striking the ground = 2.9 kg.m/s

Question

100%

### Understanding Impulse and Momentum

Impulse and momentum are fundamental concepts in physics that describe the motion of objects. Here's a breakdown of the key principles and equations involved:

#### Key Equations:
1. **Momentum (p)**
\[
p = mv
\]
* $ p $ = momentum
* $ m $ = mass (in kilograms)
* $ v $ = velocity (in meters per second)

2. **Impulse (J)**
\[
J = Ft
\]
* $ J $ = impulse
* $ F $ = force applied (in Newtons)
* $ t $ = time over which the force is applied (in seconds)

3. **Impulse-Momentum Theorem**
\[
Ft = m \Delta v
\]
* $ F $ = force
* $ t $ = time
* $ m $ = mass
* $ \Delta v $ = change in velocity

#### Problem Statement
What impulse is needed to stop a 1700 kg car in 15 seconds if it was originally moving at 25 m/s?

To solve this problem, we need to find the impulse ($ J $) required to bring the car to a stop. We are given:
- Mass of the car ($ m $) = 1700 kg
- Initial velocity ($ v $) = 25 m/s
- Final velocity ($ v_f $) = 0 m/s (since the car stops)
- Time ($ t $) = 15 seconds

Using the Impulse-Momentum Theorem ($ Ft = m \Delta v $), we can calculate the impulse.

First, determine the change in velocity ($ \Delta v $):
\[
\Delta v = v_f - v = 0 - 25 = -25 \, \text{m/s}
\]

Then, calculate the impulse:
\[
J = m \Delta v
\]
\[
J = 1700 \times (-25)
\]
\[
J = -42500 \, \text{Ns}
\]

The negative sign indicates that the impulse is in the direction opposite to the car's initial motion in order to bring it to a stop. Thus, the magnitude of the impulse needed is **42500 Ns**.

This example illustrates how to apply the

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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

A basketball (m=0.60 kg) is dropped from rest. Just before striking the floor, the ball has a momentum whose magnitude is 3.1 kg-m/s. At what height was the basketball dropped? i
A ball of mass 0.165 kg is dropped from rest from a height of 1.25 m. It rebounds from the floor to reach a height of 0.920 m. What impulse was given to the ball by the floor? kg-m/s
Kara Moore was applying make up in the parking lot. Unaware that Lisa's car was stopped in her lane 30 ft ahead. Kara rear ended Lisa's car. Kara's car was 1300 kg and was moving at 11 m/s and completely stopped after hitting Lisa's car in 0.14 sec. What is the net impulse experienced by Kara's car.
A 51 kg boy on roller skates moves with a speed of 3 m/s. He runs into a 42 kg girl on skates. Assuming they cling together after the collision, what is their speed (in m/s)? (Assume the girl is initially at rest.) m/s
Question 140 to 144
A 49 kg boy on roller skates moves with a speed of 4 m/s. He runs into a 41 kg girl on skates. Assuming they cling together after the collision, what is their speed (in m/s)? (Assume the girl is initially at rest.) m/s
A cricket ball of 200 g travelling horizontally with a speed of 50 m/s hits a wall and coming back again with a speed of 30 m/s. What is the magnitude of change in linear momentum of the ball? Select one: a. 4 kg.m/s b. 400 kg.m/s c. 16 kg.m. d. 4000 kg.m/s
A 0.20-kg stone you throw rises 42.4 m in the air. The magnitude of the impulse the stone received from your hand while being thrown is Question 8 options: 14 Ns. 29 Ns. 5.8 Ns. 3.4 Ns. 6.5 Ns.
A football player kicks a 4.7 N football and gives it a velocity of 21 m/s starting from rest. The contact between the foot and the ball lasts 1/60 s. Calculate the momentum involved in this impact. Include magnitude and direction when reporting vectors.
3. Initially, block A has a speed of 3 m/s as shown in the figure below. Use the principle of linear impulse and momentum to determine the speed of block B at t=6 s. The coefficient of kinetic friction between block A and the surface is Hk = 0.15 The pulleys are weightless and frictionless. 10 kg 30° V4.1 = 3 m/s B 20 kg
A 5.0kg object drops from a height of 2.5m above the floor. What is the object's momentum aftet 0.25s ? An average net force of 17.0N east acts on an object for 2.5\times 10^(2)s. What is the impulse?
The froghopper holds the title of the best jumper of the animal world. A 0.0198gram froghopper can accelerate at 4,000 m/s2 over 2.0 mm as it jumps. What is the impulse delivered to the froghopper as it makes this jump?