A spring is resting vertically on a table. A small box is dropped onto the top of the spring and compresses it. Suppose the spring has a spring constant of 500 N/m and the box has a mass of 2.8 kg. The speed of the box just before it makes contact with the spring is 0.55 m/s. (a) Determine the magnitude of the spring’s displacement at an instant when the acceleration of the box is zero. (b) What is the magnitude of the spring’s displacement when the spring is fully compressed?
A spring is resting vertically on a table. A small box is dropped onto the top...
A spring is resting vertically on a table. A small box is dropped onto the top of the spring and compresses it. Suppose the spring has a spring constant of 500 N/m and the box has a mass of 2.8 kg. The speed of the box just before it makes contact with the spring is 0.55 m/s. (a) Determine the magnitude of the spring’s displacement at an instant when the acceleration of the box is zero. (b) What is the...
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Your answer is partially correct. Try again A spring is resting vertically on a table. A small box is dropped onto the top of the spring and compresses it. Suppose the spring has a spring constant of 250 N/m and the box has a mass of 1.7 kg. The speed of the box just before it makes contact with the spring is 0.43 m/s. (a) Determine the magnitude of the spring's displacement at an instant when the...
A 28 g ball is shot from a spring gun whose spring has a force constant of 367 N/m. The spring can be compressed 3 cm. How high will the ball go if the gun is aimed vertically? The acceleration of gravity is 9.81 m/s 2 . Assume that at the end of the barrel, the spring’s displacement and the ball’s height are each zero. Answer in units of m.
A 300 g block is dropped onto a
relaxed vertical spring that has a spring constant of k = 2.1 N/cm.
The block becomes attached to the spring and compresses the spring
12 cm before momentarily stopping.
(a) While the spring is being compressed, what work is done on the
block by the gravitational force on it?
J
(b) What work is done on the block by the spring force while the
spring is being compressed?
J
(c) What is...
A) A 350-g block is dropped onto a relaxed vertical spring that has a spring constant k =170.0 N/m. The block becomes attached to the spring and compresses the spring 44.7 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by the gravitational force on it? B) While the spring is being compressed, what work is done on the block by the spring force? C) What is the speed of the block...
A small box with a weight of 25.0 Nis placed on top of a larger box that has a weight of SSO N. The system of two boxes is at rest on a horizontal surface (the larger box is in contact with the surface). You apply an additional downward force of 26.0 N to the top of the small box by resting your hand on it. For this problem, use - 10 N/kg. (a) What is the magnitude of the...
A box of mass m is dropped from a height H above a spring. The platform has negligible mass. The spring has spring constant k. (a) By what amount is the spring compressed? Your answer requires the quadratic equation; to choose the correct root, note that x needs to be positive. (b) What is the speed of the box when it is first in contact with the platform? (c) What is the maximum speed of the box? Hint: the box...
A massless spring of a spring gun has a force constant k=800 N/m. A ball of mass 0.5 kg is resting on top of the spring. The ball compresses the spring by d as shown in the right figure. When the gun is fired vertically, the ball reached a maximum height of 5 m from the top of the spring as it returns to its natural length. Calculate how much the spring was initially compressed (d). (a) 12 cm; (b)...
A spring stretches 0.150 m when a 0.300 kg. mass is hung vertically from it. From this information you can determine the spring constant, k. Next, the spring is set up horizontally with the 0.300 kg. mass resting on a frictionless table. The block is pushed so that the spring is compressed 0.100 m from the equilibrium point, and released from rest. Determine: The spring constant k (in N/m)? The amplitude of the horizontal oscillation (in m)? The angular frequency,...
A small ball of mass = 0.1 kg is attached to a small spring of stiffness = 10 kN×m-1 that has been compressed a distance = 8 mm. The spring is housed at one end of a box of length = 1 m and mass = 1 kg that is, in turn, resting on a smooth horizontal table. The spring is then released and the ball travels to the other end of the box where it sticks to the surface....