Problem 11: A small block of mass M= 350 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to ahorizontal spring of spring constant k = 1.9 N/m. The coefficient of static friction between the blocks is μ =0.2. The lower block is pulled until the attached spring isstretched a distance D = 2.5 cm and released.Randomized VariablesM = 350 gD = 2.5 cmk = 1.9 N/mPart (a) Assuming the blocks are stuck together, what is the maximum magnitude of acceleration amax of the blocks in terms of the variables in theproblem statement?amax = k D/(3 M+M )✓ Correct!Part (b) Calculate a value for the magnitude of the maximum acceleration amax of the blocks in m/s².✓ Correct!| @mar= 0.03390Part (c) Write an equation for the largest spring constant kmax for which the upper block does not slip.Kmax = μ (M +M) g/kl

It is given that,The mass of the small block is M=350 g=0.35 kg.The mass of the large block is The…

Answered: Problem 11: A small block of mass M =…

Similar questions

An ideal spring is attached to the ceiling. While the spring is held at its relaxed length, a wooden block (M = 850 g) is attached to the bottom of the spring, and a ball of clay (m = 210 g) is pressed onto the bottom of the block so that they stick together. The block+clay are gently lowered through a distance of d = 2.7 cm and are then released, at which point they hang motionlessly from the bottom of the spring. After a few minutes have passed, the clay unsticks itself from the block and falls from rest to the ground. 1. What is the resulting period T of the block’s oscillation after the separation occurs? 2. As d approaches 0, what limit does T approach?
A spring with a spring constant of k=157N/m is initially compressed by a block a distance d=0.21m. The block is on horizontal surface with coefficient of kinetic friction yk static friction ys and has a mass of m=6kg B)Assuming the block is released from the initial position and begins to move to the right input an expression for the sum of the force in the x- direction in the configuration.
A block with a mass of 30.0 kilograms (kg) is held against a spring with a force constant of k = 1.25×105 N/m. The spring is initially compressed 17.5 centimeters (cm) from equilibrium. Then the block is released, setting it into motion. The block initially slides along a frictionless surface, but then it encounters a 1.50 meter long rough patch where the coefficient of kinetic friction is 0.134. It then slides down a frictionless ramp, which is tilted at an angle of 19.5 degrees and has a length of 2.50 meters. How fast is the block moving when it reaches the bottom of the ramp? Give your answer in meters per second (m/s). Hint: use WNC = ΔK + ΔU.
A small block of mass M = 850 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 3.5 N/m. The coefficient of static friction between the blocks is μ = 0.2. The lower block is pulled until the attached spring is stretched a distance D = 1.5 cm and released.Randomized Variables M = 850 gD = 1.5 cmk = 3.5 N/m a) Calculate a value for the magnitude of the maximum acceleration amax of the blocks in m/s2. b) Write an equation for the largest spring constant kmax for which the upper block does not slip. c) Calculate a value for the largest spring constant kmax for which the upper block does not slip, in N/m.
A crate of mass m1 slides down a well-lubricated hill of height h, with negligible friction. At the bottom, where it is moving horizontally, it collides with another crate, of mass m2, that initially was sitting at rest and that is attached to a wall by a spring of spring constant k that initially is at its equilibrium length. Assume that the spring itself has negligible mass. a)Given that the distance d that the crates compress the spring is d=0.35 m, calculate the speed v2 of the crates immediately after the collision, in units of meters per second. Use the following values:k=950 N/mm1=2.4 kgm2=2.6 kgμ=0.49g=9.8 m/s2 b)What was the speed of the crate of mass m1 just before the collision with the second block, in meters per second? c) What is the height h of the hill, in meters?
A crate of mass m1 slides down a well-lubricated hill of height h, with negligible friction. At the bottom, where it is moving horizontally, it collides with another crate, of mass m2, that initially was sitting at rest and that is attached to a wall by a spring of spring constant k that initially is at its equilibrium length. Assume that the spring itself has negligible mass. a)Given that the distance d that the crates compress the spring is d=0.35 m, calculate the speed v2 of the crates immediately after the collision, in units of meters per second. Use the following values:k=950 N/mm1=2.4 kgm2=2.6 kgμ=0.49g=9.8 m/s2 b) What was the speed of the crate of mass m1 just before the collision with the second block, in meters per second? c)What is the height h of the hill, in meters?
A block of mass (m = 12 kg) is attached at its top to a string that goes up and loops over a pulley. The end of the string is then attached to a second block of mass (m = 16 kg) that hangs freely. The bottom of the 12 kg block is attached to a spring with spring constant (k = 120 N/m). This spring is then attached to the floor. a) What is the stretch in the spring from its relaxed position? 6) If the spring was detached from the 12 kg block, what would the acceleration of the two blocks be?
Hooke's law describes a certain light spring of unstretched length 33.0 cm. When one end is attached to the top of a door frame and a 5.00-kg object is hung from the other end, the length of the spring is 48.5 cm. Answer parts a-b.
One way to measure the speed of a bullet is to fire it into a block of wood attached to a spring. The bullet hits the block and remains lodged in it. The spring is compressed after the collision. If the mass of the bullet is 8.0×10−38.0×10−3 kg, and the mass of the block is 4.0 kg, and the spring constant is 2400 N/m, then what is the initial speed of the bullet if the maximum compression of the spring is 0.087 m? Give your answer in m/s.
A block of mass m = 3.5 kg is attached to a spring with spring constant k = 570 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 26° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.12. In the initial position, where the spring is compressed by a distance of d = 0.18 m, the mass is at its lowest position and the spring is compressed the maximum amount. Take the initial gravitational energy of the block as zero. If the spring pushes the block up the incline, what distance, L in meters, will the block travel before coming to rest? The spring remains attached to both the block and the fixed wall throughout its motion. What is L ?