A block of mass 100.0 g rests on a frictionless, horizontal
plane. It is pressed
firmly against a horizontal spring with spring constant 2000.0 N/m
(assume that the spring is massless). The object is held in
position such that the spring is compressed 1.00 cm shorter than
its undisturbed length. If the block is suddenly released, at what
speed will it be traveling when it is free of the spring?
Given,
Mass of the block = 0.1 kg
spring constant = 2000 N/m
spring is compressed to 1.00 * 10^-2 m
so initially total energy is only potential energy due to spring
so initial energy = 0.5 * k * x^2
initial energy = 0.5 * 2000 * (1.00 * 10^-2)^2
initial energy = 0.1 J
final energy is totally kinetic energy = 0.5 * mass * valocity^2
by conservation of energy
initial energy = final energy
0.1 = 0.5 * 0.1 * velocity^2
velocity = 1.414 m/s
speed will it be traveling when it is free of the spring = 1.414 m/s
A block of mass 100.0 g rests on a frictionless, horizontal plane. It is pressed firmly...
A 0.500 kg block rests (at x = 0) on a horizontal, frictionless surface as in the figure. The block is pressed back against a spring having a constant of k = 625 N/m, compressing the spring to xi = - 10.0 cm. Then the block is released, and it travels a distance d up an incline with ? = 300 from the horizontal. (10 points) a)What is the potential energy when the spring is fully compressed? b)What is the...
A 0.60 kg block rests on a frictionless horizontal countertop, where it is attached to a massless spring whose k-value equals 18.0 N/m. Let x be the displacement, where x = 0 is the equilibrium position and x > 0 when the spring is stretched. The block is pushed, and the spring compressed, until xi = −4.00 cm. It then is released from rest and undergoes simple harmonic motion. (a)What is the block's maximum speed (in m/s) after it is...
A wooden block of mass 7.50 kg rests on a horizontal frictionless surface. A 3.00 g bullet traveling horizontally at 700 m/s suddenly hits and becomes embedded in the wooden block. Find the speed of the block after the impact.?
Problem 2 A block A of 0.5-kg rests on a horizontal, frictionless surface. The block is pressed back against a spring having a constant of k 400 N/m, compressing the spring by 12.0 cm. Then the b sreleased. The incline has a friction coefficient μ-02, and the horizontal surface has no friction. 1. Find the maximum distance d the block travels up the incline if -40 (Position C) 2. How fast is the block moving up when halfway to its...
A block with mass m = 14 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4174 N/m after being compressed a distance x1 = 0.512 m from the spring’s unstretched length. The floor is frictionless except for a rough patch a distance d = 2.7 m long. For this rough path, the coefficient of friction is μk = 0.44. 1) How much work is done by the spring as it accelerates...
3.8. Moving plane A block of mass m is held motionless on a frictionless plane of mass Mand angle of inclination θ see Fig. 3.16 released. What is the horizontal acceleration of the plane? The plane rests on a frictionless horizontal surface. The block is AW
A 4.86 kg block free to move on a horizontal, frictionless surface is attached to one end of a light horizontal spring. The other end of the spring is fixed. The spring is compressed 0.104 m from equilibrium and is then released. The speed of the block is 1.01 m/s when it passes the equilibrium position of the spring. The same experiment is now repeated with the frictionless surface replaced by a surface for which $\mu$k = 0.275. Determine the...
A block with mass m = 16 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4850 N/m after being compressed a distance x1 = 0.51 m from the spring’s unstretched length. The floor is frictionless except for a rough patch a distance d = 2.5 m long. For this rough path, the coefficient of friction is μk = 0.45. How much work is done by the spring as it accelerates the...
6. A 5-kg block is pressed against a spring near the bottom of a 30° inclined plane. The spring, (spring constant 450 N/m) is compressed by 0.50 m.When released, the spring projects the block toward the top of the incline. The coefficient of kinetic friction between the block and the inclined plane is 0.3. (a) What is the speed of the block at the instant the block first returns to its equilibrium length? ans [3.9 m/s] (b) Calculate the speed...
A block rests on a frictionless horizontal surface and is attached to a spring..... Chapter 10, Problem 81 A block rests on a frictionless horizontal surface and is attached to a spring. When set into simple harmonic motion, the block oscillates back and forth with an angular frequency of 9.8 rad/s. The drawing shows the position of the block when the spring is unstrained. This position is labeled "x=0m." The drawing also shows a small bottle located 0.080 m to...