Question

In: Physics

A small block (m = 0.615 kg) vibrates back and forth horizontally on a frictionless surface...

A small block (m = 0.615 kg) vibrates back and forth horizontally on a frictionless surface according to the equation x = 5.04 cm cos 8.37 rad/s t due to a spring.

a) What are the frequency (f) and the period (T) of the motion?

b) What is the spring constant (k) of the spring?

c) What is the location of the block at t = 5.87 s?

d) What is the velocity of the block at t = 4.11 s?

e) What is the acceleration of the block at t = 2.05 s?

f) What is the total mechanical energy (E) of the block/spring system?

Solutions

Expert Solution


Related Solutions

On a horizontal frictionless surface, a small block with mass 0.200 kg has a collision with...
On a horizontal frictionless surface, a small block with mass 0.200 kg has a collision with a block of mass 0.400 kg. Immediately after the collision, the 0.200 kg block is moving at 12.0 m/s in the direction 30
A 0.990 kg block slides on a frictionless, horizontal surface with a speed of 1.40 m/s....
A 0.990 kg block slides on a frictionless, horizontal surface with a speed of 1.40 m/s. The block encounters an unstretched spring with a force constant of 231 N/m. Before the block comes to rest, the spring is compressed by 9.17 cm. 1) Suppose the force constant of the spring is doubled, but the mass and speed of the block remain the same. By what multiplicative factor do you expect the maximum compression of the spring to change? Explain. 2)...
A 1.85 kg block slides with a speed of 0.955 m/s on a frictionless horizontal surface...
A 1.85 kg block slides with a speed of 0.955 m/s on a frictionless horizontal surface until it encounters a spring with a force constant of 980 N/m . The block comes to rest after compressing the spring 4.15 cm. A.Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 0 cm. B.Find the spring potential energy, U, the kinetic energy of the block, K,...
In the figure, a small block of mass m = 0.121 kg slides down a frictionless...
In the figure, a small block of mass m = 0.121 kg slides down a frictionless surface from an initial height of h = 0.850 m and then sticks to a uniform vertical rod of mass M = 0.879 kg and length L = 1.83 m. The rod pivots about point O through an angle θ before momentarily stopping. Find θ (in degrees).
A block of mass 5 kg is sitting on a frictionless surface. The block initially has...
A block of mass 5 kg is sitting on a frictionless surface. The block initially has a velocity of 3 m/s. A force of 9 N is applied for 2 s.   What is the Initial momentum of the block? kg m/s Tries 0/2 What is the Initial Kinetic Energy of the block? J Tries 0/2 What is the change in momentum of the block?   Kg m/s Tries 0/2 What is the final momentum of the block? kg m/s Tries 0/2...
A 1.78-kg block slides with a speed of 0.955 m/s on a frictionless horizontal surface until...
A 1.78-kg block slides with a speed of 0.955 m/s on a frictionless horizontal surface until it encounters a spring with a force constant of 660 N/m. The block comes to rest after compressing the spring 4.18 cm. Calculate the spring potential energy for a compression of 0 cm. Calculate the kinetic energy of the block for a compression of 0 cm. Calculate the total mechanical energy of the system for a compression of 0 cm. Calculate the spring potential...
a 0.6 kg ball traveling horizontally on a frictionless surface approaches a wall at a speed...
a 0.6 kg ball traveling horizontally on a frictionless surface approaches a wall at a speed of 20m/s perpendicularly to the wall and rebounds with 70% of its initial kinetic energy. What is the magnitude of the impulse exerted on the ball by the wall? A. 12.0 kg*m/s B. 1.96 kg*m/s C. 22.0 kg*m/s D. 20.4 kg*m/s E. 3.60 kg*m/s
A block of mass m1=6.6 kg rests on a frictionless horizontal surface. A second block of...
A block of mass m1=6.6 kg rests on a frictionless horizontal surface. A second block of mass m2=9.4 kg hangs from an ideal cord of negligible mass, which runs over an ideal pulley and then is connected to the side of the first block. The blocks are released from rest. How far will block 1 move during the 1.1 second interval?
A block of mass m1 = 0.500 kg sits on a frictionless surface and is connected...
A block of mass m1 = 0.500 kg sits on a frictionless surface and is connected by a weightless string to a weight of mass m2 = 0.200 kg that hangs from a pulley. The system is initially at rest. If the mass m2 is released and drops for 1.00 m, what is the speed of the system? Assume that mass m1 does not reach the edge of the surface. Use energy considerations, not force considerations. What is the speed...
A 1.30 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring...
A 1.30 kg block sliding on a horizontal frictionless surface is attached to a horizontal spring with k = 410 N/m. Let x be the displacement of the block from the position at which the spring is unstretched. At t = 0 the block passes through x = 0 with a speed of 7.60 m/s in the positive x direction. What are the (a) frequency and (b) amplitude of the block's motion? (a) Number Enter your answer for part (a)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT