In the figure, two particles are launched from the origin of the coordinate system at time t - O. Particle 1 of mass m₁ - 5.20 g is shot directly along the x axis (on a frictionless floor), where it moves with a constant speed of 10.7 m/s. Particle 2 of mass m₂ -4.50 g is shot with a velocity of magnitude 15.6 m/s, at an upward angle such that it always stays directly above particle 1 during its flight. (a) What is the maximum height Hmax reached by the com of the two-particle system? In unit-vector notation, what are the (b) velocity and (c) acceleration of the com when the com reaches Hmax?

In the figure, two particles are launched from the origin of the coordinate system at time t - O. Particle 1 of mass m₁ - 5.20 g is shot directly along the x axis (on a frictionless floor), where it moves with a constant speed of 10.7 m/s. Particle 2 of mass m₂ -4.50 g is shot with a velocity of magnitude 15.6 m/s, at an upward angle such that it always stays directly above particle 1 during its flight. (a) What is the maximum height Hmax reached by the com of the two-particle system? In unit-vector notation, what are the (b) velocity and (c) acceleration of the com when the com reaches Hmax?

Name: In the figure, two particles are launched from the origin of the coor
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: In the figure, two particles are launched from the origin of the coordinate system at time t-O. Particle 1 of mass m₁ - 5.20 g is shotdirectly along the x axis (on a frictionless floor), where it moves with a constant speed of 10.7 m/s. Particle 2 o

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: At t = 0 cart A (mA = 2.1 kg) is given a initial velocity v0 towards cart B (mB = 1 kg), which is…

A: Given data:The mass of cart A is mA = 2.1 kgThe mass of cart B is mB = 1 kgThe initial speed of cart…

Q: In the figure, block A (mass 1.7 kg) slides into block B (mass 3.0 kg), along a frictionless…

Q: N(y) itude of velocity of ve = 8.5 m/s when a truck of mass m = 1975 kg traveling south at v = 7.2…

A: According to conservation of momentum Momentum before collision =momentum after collision

Q: Find the center of mass of a rod of length L whose mass density changes from one end to the other…

Q: A spaceprobe in outer space is flying with a constant speed of 1.318 km/s. The probe has a payload…

Q: Two pucks are sliding on a frictionless tabletop. Block A (mass 3.06 kg) is moving to the East (+x…

Q: Blocks A (mass 5.00 kg) and B (mass 11.00 kg, to the right of A) move on a frictionless, horizontal…

Q: Given: Rocket mass M departs vertically from surface of earth( Re 6371km. g = 9.81m/s.Fuel is mass…

A: When a rocket with initial mass is launched vertically the acceleration generated is given by,…

Q: In an intense battle, gunfire can be so concentrated that bullets from opposite sides collide in…

A: Law of conservation of momentum: According to this law, the total momentum of an isolated system…

Q: A bullet of mass 20 g with a velocity of 500 m/s collides with a 1 kg block which is at rest on an…

A: Mass of the bullet is given as, m = 20 g Mass of the block is given as, M = 1 kg The angle of…

Q: Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare…

Q: An unstable nucleus of mass 1.7 x 10-26 kg, initially at rest at the origin of a coordinate system,…

A: Use the conservation of momentum to solve for the velocity of the third particle.…

Q: Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare…

A: Given: Mass of the first mice = 0.0167 Kg Mass of the second mice = 0.0231 Kg Mass of the third mice…

Q: Suppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 2.5 x…

A: Calculate the impulse due to force.

Q: Making the substitution, r = u-¹, show that the differential equation that describes the motion of a…

A: r=u-1 m= Mass of particle h= constant (or angular momentum) Given a Central force problem.

Q: velocity of 0.650 m/s to the left, and puck B has a velocity of 0.120 m/s to the right. What is the…

Q: A ball of mass 189 g is thrown with an initial velocity of 25 m/s at an angle of 30° with the…

Q: In the figure, two particles are launched from the origin of the coordinate system at time t 0.…

A: Centre of mass of system of particles is the point representing the mean position of the matter in…

Q: Two asteroids of equal mass in the asteroid beit between Mars and Jupiter collide with a glancing…

A: Kinetic energy will be lost during collision.

Q: A golf ball of mass m = 0.18 kg is dropped from a height h. It interacts with the floor for t = 0.11…

Q: The following equation describes the motion of a rocket that is expelling a total mass M of fuel at…

A: In case of variable mass system v=dxdtis used to calculate velocity

Q: Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare…

A: Given , masses m1 =0.0103 kgm2 = 0.0133 kgm3 = 0.0195 kgm4 = 0.0185 kg velocities v1x =0.585 m/sv1y…

Q: Three beads are placed on the vertices of an equilateral triangle of side d = 3.9 cm. The first bead…

Q: In the figure, block A (mass 1.4 kg) slides into block B (mass 2.2 kg), along a frictionless…

A: The linear momentum during the collision is conserved. The initial linear momentum, pi = mAvAi +…

Q: A cart of mass m is moving along a very smooth straight horizontal track with speed v. A brick of…

Q: There is a compressed spring between two laboratory carts of masses m1 = 145 g and m2 = 272 g.…

A: Introduction: The motion of the object can be represented by the laws of motion. During the motion…

Q: A small block of mass m, is released from rest on the top of a frictionless, curved shaped wedge of…

A: As the small mass m1 falls down the curved wedge, they move such that the center of mass doesnt…

Q: Question 3. Two particles, each of mass m, move in a plane so that their position vectors at time t…

A: Given: Mass of each particle m = m. Position vector of first particle r1 = [(2-t3-t)i/(1+t2) ] +…

Q: An experiment is done to compare the initial speed of projectiles fired from high-performance…

Q: Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare…

Q: You are standing on a large sheet of frictionless ice and holding a large rock. To get off the ice…

A: Write the given values with the suitable variables. vr=12 m/sθ=35°mp=70 kgmr=15 kg Here, vr, θ, mp,…

Q: The mass of a particular eagle is twice that of a hunted pigeon. Suppose the pigeon is flying north…

Q: At one instant, a force acts on a 0.5 kg object that has a position vector r⃗ = (3.0 î− 2.0 k̂) m…

Q: Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been…

A: Given Masses M1 = M2 = m Iniitial velocity u1 = 2v u2 = v

Q: A bullet of mass 20 g with a velocity of 500 m/s collides with a 1 kg block which is atrest on an…

A: Given, a bullet of mass m=20 g = 0.020 kg with a velocity of 500 m/s collides with a M=1 kg block…

Topic Video

Question

In the figure, two particles are launched from the origin of the coordinate system at time t-O. Particle 1 of mass m₁ - 5.20 g is shot
directly along the x axis (on a frictionless floor), where it moves with a constant speed of 10.7 m/s. Particle 2 of mass m₂ -4.50 g is shot
with a velocity of magnitude 15.6 m/s, at an upward angle such that it always stays directly above particle 1 during its flight. (a) What is
the maximum height Hmax reached by the com of the two-particle system? In unit-vector notation, what are the (b) velocity and (c)
acceleration of the com when the com reaches Hmax?
(a) Number i
(b) Number i
(c) Number
i
Units
i+
i+
i
Ma
j Units
j Units

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: Explanation

VIEW

Step 2: Calculation of angle

VIEW

Step 3: Maximum height of the particle combo

VIEW

Step 4: Velocity calculation at highest point

VIEW

Step 5: Acceleration calculation

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 6 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 steel ball is released from the roof of a building below as seen in the figure. The observer, standing in front of a 120cm tall window, observes that the ball passes in front of the window in 0.125 seconds. The ball continues to move and hits the ground and is seen again at the bottom of the window after 2 seconds in full flexibility. What is the height h of the building? (note: the magnitude of the velocity of the ball in fully elastic impact is equal to the magnitude of the velocity just before the impact) (g = 9.8m / s2)
In the figure, two particles are launched from the origin of the coordinate system at time t - O. Particle 1 of mass m₁ - 5.20 g is shot directly along the x axis (on a frictionless floor), where it moves with a constant speed of 10.7 m/s. Particle 2 of mass m₂ -4.50 g is shot with a velocity of magnitude 15.6 m/s, at an upward angle such that it always stays directly above particle 1 during its flight. (a) What is the maximum height Hmax reached by the com of the two-particle system? In unit-vector notation, what are the (b) velocity and (c) acceleration of the com when the com reaches Hmax? (a) Number 3.05 (b) Number 10.7 (c) Number 0 Units i+ 0 m 3.3 j Units m/s j Units m/s^2
There are two particles (1 and 2) that are moving around in space. The mass of particle 1 is 2.8 kg and the mass ofparticle 2 is 1.96 kg. The particles are isolated so that only the forces between the particles are significant. The forcethat 2 exerts on 1 is given by:~F21(t) = Fat ˆi + Fbt3 ˆjThe initial time is ti = 4.1 s and the final time is tf = 6.8 s.Use the following values for the parameters:Fa = -18.4 N/s , Fb = 11.2 N/s3,If the y component of the impulse from 1 on 2 is -5196 N s, what is the y component of the average force from 2 on1?
There are two particles (1 and 2) that are moving around in space. The mass of particle 1 is 2.8 kg and the mass ofparticle 2 is 1.96 kg. The particles are isolated so that only the forces between the particles are significant. The forcethat 2 exerts on 1 is given by:~F21(t) = Fat ˆi + Fbt3 ˆjThe initial time is ti = 4.1 s and the final time is tf = 6.8 s.Use the following values for the parameters:Fa = -18.4 N/s , Fb = 11.2 N/s3, If the y component of the impulse from 1 on 2 is -5196 N s, what is the y component of the change in momentum forparticle 2?
There are two particles (1 and 2) that are moving around in space. The mass of particle 1 is 4.1 kg and the mass ofparticle 2 is 4.51 kg. The particles are isolated so that only the forces between the particles are significant. The forcethat 2 exerts on 1 is given by: F21(t) = Fxe−(t/tx )ˆi + Fy sin(2πt/T)ˆj The initial time is t = 0 s and the final time is t = 5.9 s The y-component of the impulse from 1 on 2 is: I12,y = 50.28 N s Fx = 17.4 N, Fy = -28.8 N, tx = 6.5 s, T = 60.7 s what is the x component of the impulse from 1 on 2? What is the y-component of the change in momentum for particle 1? what is the y componentof the average force from 1 on 2
A box of mass M=1980 g, filled with sand, is suspended from a 1=1.5 m long rope. The length of the rope is much larger than the dimensions of the box. A bullet with mass m=20 g flying with a velocity of v=500 m/s in the horizontal direction hits the box and gets stuck. Find the maximum deviation angle of the rope from the vertical. Neglect the drag force of the air. Take g=10m/s^2.
The following equation describes the motion of a rocket that is expelling a total mass M of fuel at a rateα = -dm/dt:dv/dt = uα/(M-αt),where u is the speed the fuel is ejected, v is the velocity of the rocket in the x-direction, and t is time. Assume the velocity at t = 0 is v(0) = v0, and that M, and u are constants. The burn rate is proportional to the mass of the rocket, as follows:α = -βm,where m is the current mass of the rocket (which is therefore time-dependent). This means that as less fuel is available to burn, then the fuel is burned at a lower rate. Write an expression for the mass of the fuel as a function of time. Now, write an expression for the velocity as a function of time for the rocket. A particular rocket burns fuel at a rate proportional to the mass of the fuel with the constant of proportionality being 6.4 1/s. The propellant speed is 5.1 m/s. The total mass of fuel is 136.4 kg. What is the speed, in meters per second, of the rocket at t = 2.7 s?
A falcon with a mass m1=1.29 kg is diving at a speed of v1=22.2 m/s at an angle of θ= 59.5 degrees below horizontal. Note that x is horizontal and y is vertical, as shown in the diagram. A pigeon, whose mass is m2= 0.68 kg, is flying in the positive x direction at a speed of v2= 6.7 m/s. The falcon catches the pigeon, and they move as one. Neglect gravity and air resistance. a) Write an expression for the x component of the final velocity. b) Write an expression for the y component of the final velocity. c) What is the magnitude, in meters per second, of the final velocity? d) What is the angle, in degrees below the horizontal, that the final velocity makes with the x axis?
Spheres A (mass 0.040 kg), B (mass 0.060 kg) and C (mass 0.080 kg) are approaching the origin as they slide on a frictionless air table. The initial velocities of A and B are v₁ = 1.60 m/s in the negative x direction and VB = 0.90 m/s at an angle 08 = 60°, as shown. All three spheres arrive at the origin at the same time and stick together. After the collision, the masses move at a speed of 0.50 m/s in the -x direction. UC y OB B UB VA A X C a. What is the x-component of the initial velocity of C? b. What is the y-component of the initial velocity of C? c. Calculate the change in mechanical energy of the collision. d. What type of collision is this? Explain.
A delivery person carries a stack of three boxes labeled 1, 2, and 3. Box 3 is on the bottom of the stack, and box 1 is on the top. The masses of boxes 1, 2, and 3 are m = 3.5 kg, m2 = 4.5 kg, and m3 = 8.0 kg, respectively. The delivery person places the stack of boxes on an elevator floor, which then accelerates upward with a magnitude of a = 0.90 m/s?. Assume that the positive direction is up. Calculate the contact force F1-2 that box 1 exerts on box 2 during the acceleration. F-2 = N %3D Calculate the contact force F3-2 that box 3 exerts on box 2 during the acceleration. F3-2 = N
A ball of mass 179 g is thrown with an initial velocity of 25 m/s at an angle of 30° with the horizontal direction. Ignore air resistance. What is the momentum of the ball after 0.8 s? (Do this problem by finding the components of the momentum first and then constructing the magnitude and direction of the momentum vector from the components. Find the magnitude in kg · m/s and the direction in degrees counterclockwise from the +x-axis. Assume the +x-axis points horizontally to the right.) magnitude _____ kg · m/s direction ______ ° counterclockwise from the +x-axis
A cosmic ray muon with mass mμ = 1.88 ✕ 10−28 kg impacting the Earth's atmosphere slows down in proportion to the amount of matter it passes through. One such particle, initially traveling at 2.42 ✕ 106 m/s in a straight line, decreases in speed to 1.60 ✕ 106 m/s over a distance of 1.10 km. (a) What is the magnitude of the force experienced by the muon? N(b) How does this force compare to the weight of the muon? |F| Fg =