Figure shows two blocks connected by a massless string that passes over a frictionless pulley. The block of mass m1 = 5.00 kg is connected to a spring of force constant 400 N/m. Initially, the system is released from rest when the spring is unstretched. If the hanging block of mass m2 = 3.00 kg falls a distance h = 0.100 m before coming to rest, calculate the coefficient of kinetic friction between the block of mass m¡ and the surface.

Figure shows two blocks connected by a massless string that passes over a frictionless pulley. The block of mass m1 = 5.00 kg is connected to a spring of force constant 400 N/m. Initially, the system is released from rest when the spring is unstretched. If the hanging block of mass m2 = 3.00 kg falls a distance h = 0.100 m before coming to rest, calculate the coefficient of kinetic friction between the block of mass m¡ and the surface.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 33P: A hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s....

See similar textbooks

Similar questions

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?
A hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s. Suddenly, a constant force of magnitude 5 N and direction due north is applied to the puck for 1.5 s. Find the north and east components of the momentum at the end of the 1.3-s interval.
A block having a mass of 1.0 kg is given an initial velocity v= 6 m/s to the right and collides with a spring whose mass is negligible and whose force constant is k =100 N/m . Assuming the surface to be frictionless, e the maximum compression of the spring after the collision m 6 m 5 m None
A cannon is rigidly attached to a carriage, which can movealong horizontal rails, but is connected to a post by a large spring, initially unstretched and with force constant k = 2.00 x 104 N/m, as inFigure P6.75. The cannon fires a 2.00 x 102-kg projectile at a velocity of 125 m/s directed 45.0° above the horizontal.(a) If the mass of the cannon and its carriage is 5.00 x 103-kg, find therecoil speed of the cannon. (b) Determine the maximum extensionof the spring. (c) Find the maximum force the spring exertson the carriage. (d) Consider the system consisting of the cannon,the carriage, and the shell. Is the momentum of this systemconserved during the firing? Why or why not?
A block of mass ?=3.70 kgm=3.70 kg slides along a horizontal table with velocity ?0=4.00 m/sv0=4.00 m/s. At ?=0x=0, it hits a spring with spring constant ?=43.00 N/mk=43.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by ?=0.400μ=0.400. How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.
1. An object of mass M = 2, 0 kg is attached to a spring of elastic constant k = 50 N/m which is compresseda distance d = 20 cm and then released from rest, Fig. 1(a). (a) Find the velocity of the object when ithas passed from the point where the spring is relaxed and the spring is stretched a distance of 10 cm. Assume that the massis moving horizontally, on a frictionless surface. (b) Show, from Hooke's law, that the functionx(t) = Acos(ωt + φ) is a possible solution for the motion of this block. Determine the constants of this function(A, ω, and φ) and use it to find out how long it takes the mass to go from the starting point with the spring compressed by20 cm to the point where the spring is stretched by 10 cm. (c) Write an equation for the velocity as a function oftime, using the same denition of t = 0 as in part (b). Use this equation to find the velocity (magnitudeand direction) when time is t = 3T/4 where T is the period of motion of the mass in the spring.
A rifle bullet with mass 8.00 gg strikes and embeds itself in a block with mass 0.992 kgkg that rests on a frictionless, horizontal surface and is attached to an ideal spring. The impact compresses the spring 15.0 cmcm. Calibration of the spring shows that a force of 0.750 NN is required to compress the spring 0.250 cmcm. (Figure 1) 1) Find the magnitude of the block's velocity just after impact. 2) What was the initial speed of the bullet?
A 25 kg mass rests on a spring that has a spring coefficient if 200 N/cm. How muchdoes the spring deflect under action of the mass?
A 5.00 gram bullet is fired at a velocity of 400 m/s into a 1.00 kg block attached to a spring [k=900 N/m]. The bullet emerges through the block on the other side. If the block moves 5.00 cm to the right before it stops, what is the final velocity of the bullet?
Use the approximation that vavg = pf/m for each time step.A spring with a relaxed length of 25 cm and a stiffness of 13 N/m stands vertically on a table. A block of mass 79 g is attached to the top of the spring. You pull the block upward, stretching the spring until its length is now 28.4 cm, hold the block at rest for a moment, and then release it. Using a time step of 0.1 s, predict the position and momentum of the block at a time 0.2 s after you release the block. (Assume the +y direction is upward. Express your answers in vector form.) r = m p = kg · m/s
A mass m1 = 10.5 kg, with initial velocity V0 = 12.5 m/s, strikes a mass-spring system m2 = 7.25 kg, initially at rest but able to recoil. Assume the spring is massless and the surface horizontal and frictionless. See the figure below. If the collision is completely elastic, what are the final speeds V1 and V2 of m1 and m2, respectively?
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 unstretched and with force constant k = 2.00 × 104 N/m, as in Figure P6.67. The cannon fires a 200-kg projectile at a velocity of 125 m/s directed 45.0° above the horizontal. (a) If 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, the carriage, and the shell. Is the momentum of this system conserved during the firing? Why or why not?