A small block of mass m, = 0.855 kg is released from rest at the top of a curved wedge of mass m, = 8.80 kg, which sits on a frictionless horizontal surface as in figure (a). When the block leaves the wedge, its velocity is measured to be 4.00 m/s to the right, as in figure (b).

A small block of mass m, = 0.855 kg is released from rest at the top of a curved wedge of mass m, = 8.80 kg, which sits on a frictionless horizontal surface as in figure (a). When the block leaves the wedge, its velocity is measured to be 4.00 m/s to the right, as in figure (b).

Name: A small block of mass m, = 0.855 kg is released from rest at the top
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: A small block of mass m, = 0.855 kg is released from rest at the top of a curved wedge of mass m, = 8.80 kg, which sits on a frictionless horizontal surface as in figure (a). When the block leaves the wedge, its velocity is measured to be 4.00 m/s t

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 6P: A girl of mass mg is standing on a plank of mass mp. Both are originally at rest on a frozen lake...

See similar textbooks

Similar questions

A girl of mass mg is standing on a plank of mass mp. Both are originally at rest on a frozen lake that constitutes a frictionless, flat surface. The girl begins to walk along the plank at a constant velocity vgp to the right relative to the plank. (The subscript gp denotes the girl relative to plank.) (a) What is the velocity vpi of the plank relative to the surface of the ice? (b) What is the girls velocity vgi relative to the ice surface?
From what might be a possible scene in the comic book The X-Men, the Juggernaut (mJ) is charging into Colossus (mC) and the two collide. The initial speed of the Juggernaut is vJi and the initial speed of Colossus is vCi. After the collision, the final speed of the Juggernaut is vJf and the final speed of Colossus is vCf as they each bounce off of the other, heading in opposite directions. a. What is the impulse experienced by the Juggernaut? b. What is the impulse experienced by Colossus? c. In your own words, explain how these impulses must compare with each other and how they are related to the average force each superhero experiences during the collision.
A rocket has total mass Mi = 360 kg, including Mfuel = 330 kg of fuel and oxidizer. In interstellar space, it starts from rest at the position x = 0, turns on its engine at time t = 0, and puts out exhaust with relative speed ve = 1 500 m/s at the constant rate k = 2.50 kg/s. The fuel will last for a burn time of Tb = Mfuel/k = 330 kg/(2.5 kg/s) = 132 s. (a) Show that during the burn the velocity of the rocket as a function of time is given by v(t)=veln(1ktMi) (b) Make a graph of the velocity of the rocket as a function of time for times running from 0 to 132 s. (c) Show that the acceleration of the rocket is a(t)=kveMikt (d) Graph the acceleration as a function of time. (c) Show that the position of the rocket is x(t)=ve(Mikt)ln(1ktMi)+vet (f) Graph the position during the burn as a function of time.
A space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three pieces. One piece of mass ml = 48.0 kg travels in the positive x-direction at 12.0 m/s, and a second piece of mass m2 = 62.0 kg travels in the xy-plane at an angle of 105 at 15.0 m/s. The third piece has mass m3 = 112 kg. (a) Sketch a diagram of the situation, labeling the different masses and their velocities, (b) Write the general expression for conservation of momentum in the x- and y-directions in terms of m1, m2, m3, v1, v2 and v3 and the sines and cosines of the angles, taking to be the unknown angle, (c) Calculate the final x-components of the momenta of m1 and m2. (d) Calculate the final y-components of the momenta of m1 and m2. (e) Substitute the known momentum components into the general equations of momentum for the x- and y-directions, along with the known mass m3. (f) Solve the two momentum equations for v3 cos and v3 sin , respectively, and use the identity cos2 + sin2 = 1 to obtain v3. (g) Divide the equation for v3 sin by that for v3 cos to obtain tan , then obtain the angle by taking the inverse tangent of both sides, (h) In general, would three such pieces necessarily have to move in the same plane? Why?
A cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected to a post by a large spring, initially unstretchcd and with force constant k = 2.00 104 N/m, as shown in Figure P8.60. The cannon fires a 200-kg projectile at a velocity of 125 m/s directed 45.0 above the horizontal. (a) Assuming that the mass of the cannon and its carriage is 5 000 kg, find the recoil speed of the cannon. (b) Determine the maximum extension of the spring. (c) Find the maximum force the spring exerts on the carriage. (d) Consider the system consisting of the cannon, carriage, and projectile. Is the momentum of this system conserved during the firing? Why or why not?
An astronaut out on a spacewalk to construct a new section of the International Space Station walks with a constant velocity of 2.00 m/s on a flat sheet of metal placed on a flat, frictionless, horizontal honeycomb surface linking the two parts of the station. The mass of the astronaut is 75.0 kg, and the mass of the sheet of metal is 245 kg. a. What is the velocity of the metal sheet relative to the honeycomb surface? b. What is the speed of the astronaut relative to the honeycomb surface?
A model rocket engine has an average thrust of 5.26 N. It has an initial mass of 25.5 g, which includes fuel mass of 12.7 g. The duration of its burn is 1.90 s. (a) What is the average exhaust speed of the engine? (b) This engine is placed in a rocket body of mass 53.5 g. What is the final velocity of the rocket if it were to be fired from rest in outer space by an astronaut on a spacewalk? Assume the fuel burns at a constant rate.
You are holding a basketball and standing at rest on top of a skateboard. If you throw the basketball (of mass 0.625 kg) at a velocity of 7 m/s along the horizontal and you and the skateboard together have a mass of 85 kg, what is the magnitude of your velocity just after throwing the ball? Assume you can ignore air resistance, rolling resistance, and friction.
An object with mass m1 = 3.00 kg is moving along the positive x axis with a speed v1i = 2 m/s straight towards two objects with masses m2 = 2.00 kg and m3 = 4.00 kg, which are initially at rest. When they collide, object 1 comes to rest and object 2 moves away with a speed of v2f = 1.5 m/s at an angle of 50 degrees above the x axis. What is the direction of the velocity of the center of mass of the system comprised of all three objects after the collision? A) Along the x axis B) A an angle of 50 degrees above the x axis C) At an angle of 50 degrees below the x axis D) At an angle > 0 degrees and <50 degrees above the x axis E) At an angle>0 degrees and <50 degrees below the x axis The correct answer is A but I am confused why it is A, if you could explain the justification as to why the answer is option A.
A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 56.7 × 105 kg, of which 12.9 × 105 kg is fuel. The rocket engine is then fired for 310 s, during which fuel is consumed at the rate of 470 kg/s. The speed of the exhaust products relative to the rocket is 2.16 km/s. (a) What is the rocket's thrust? After the 310 s firing, what are (b) the mass and (c) the speed of the rocket?
A small block of mass m1 = 0.770 kg is released from rest at the top of a curved wedge of mass m2 = 7.50 kg, which sits on a frictionless horizontal surface. When the block leaves the wedge, its velocity is measured to be 4.00 m/s to the right. (a) What is the velocity of the wedge after the block reaches the horizontal surface? (Enter the magnitude of the velocity.) m/s(b) What is the height h of the wedge? m
A rocket that is in deep space and initially at rest relative to an inertial reference frame has a mass of 2.55* 105 kg, of which 1.81* 105 kg is fuel. The rocket engine is then fired for 250 s while fuel is consumed at the rate of 480 kg/s. The speed of the exhaust products relative to the rocket is 3.27 km/s. (a) What is the rocket’s thrust? After the 250 s firing, what are (b) the mass and (c) the speed of the rocket?