A block rests on a horizontal frictionless table. It is attached to a spring and set...

A block rests on a horizontal frictionless table. It is attached to a spring and set into motion. Consider what will happen to the frequency or period in each of the following situations. (increase, decrease, or stay the same)

If the spring constant is cut in half (looser spring), the frequency will _______.

If the spring constant is cut in half (looser spring), the period will _______.

If the amplitude of the motion is doubled, the frequency will ______.

If the mass of the block is cut in half, the frequency will _______.

Expert Solution

genius_generous answered 2 years ago

A block of wood slides on a frictionless horizontal surface. It is attached to a spring...

A block of wood slides on a frictionless horizontal surface. It is attached to a spring and oscillates with a period of 0.8 s. A second block rests on top of the first. The coefficient of static friction between the two blocks is 0.25. If the amplitude of oscillations is 1.2 cm, will the block on the top slip? What is the greatest amplitude of oscillation for which the top block will not slip?

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)...

A mass sliding on a frictionless table is attached to a horizontal spring. It is noted...

A mass sliding on a frictionless table is attached to a horizontal spring. It is noted to be at position x1 moving with a speed |v1|, and several seconds later at position x2 moving with a speed |v2|. What is the period of the mass attached to the spring? Choose x1 = 0.85m, x 2 = 1.1m, |v1| = 2.4m/s, and |v2|= 1.9m/s.

A 16.3-kg block rests on a horizontal table and is attached to one end of a...

A 16.3-kg block rests on a horizontal table and is attached to one end of a massless, horizontal spring. By pulling horizontally on the other end of the spring, someone causes the block to accelerate uniformly and reach a speed of 5.99 m/s in 1.37 s. In the process, the spring is stretched by 0.180 m. The block is then pulled at a constant speed of 5.99 m/s, during which time the spring is stretched by only 0.0584 m. Find...

A 11.4-kg block rests on a horizontal table and is attached to one end of a...

A 11.4-kg block rests on a horizontal table and is attached to one end of a massless, horizontal spring. By pulling horizontally on the other end of the spring, someone causes the block to accelerate uniformly and reach a speed of 4.08 m/s in 1.13 s. In the process, the spring is stretched by 0.231 m. The block is then pulled at a constant speed of 4.08 m/s, during which time the spring is stretched by only 0.0543 m. Find...

Block A rests on a horizontal tabletop. A light horizontal rope is attached to it and...

Block A rests on a horizontal tabletop. A light horizontal rope is attached to it and passes over a pulley, and block B is suspended from the free end of the rope. The light rope that connects the two blocks does not slip over the surface of the pulley (radius 0.080 m) because the pulley rotates on a frictionless axle. The horizontal surface on which block A (mass 3.30 kg) moves is frictionless. The system is released from rest, and...

A 10 kg block on a horizontal surface is attached to a horizontal spring of spring...

A 10 kg block on a horizontal surface is attached to a horizontal spring of spring constant k = 4.4 kN/m. The block is pulled to the right so that the spring is stretched 5.8 cm beyond its relaxed length, and the block is then released from rest. The frictional force between the sliding block and the surface has a magnitude of 38 N. (a) What is the kinetic energy of the block when it has moved 2.2 cm from...

A 28 kg block on a horizontal surface is attached to a horizontal spring of spring...

A 28 kg block on a horizontal surface is attached to a horizontal spring of spring constant k = 2.9 kN/m. The block is pulled to the right so that the spring is stretched 8.4 cm beyond its relaxed length, and the block is then released from rest. The frictional force between the sliding block and the surface has a magnitude of 37 N. (a) What is the kinetic energy of the block when it has moved 2.7 cm from...

If an object on a horizontal frictionless surface is attached to a spring, displaced, and then...

If an object on a horizontal frictionless surface is attached to a spring, displaced, and then released, it oscillates. Suppose it is displaced 0.125 m from its equilibrium position and released with zero initial speed. After 0.860 s, its displacement is found to be 0.125 m on the opposite side and it has passed the equilibrium position once during this interval.Find the amplitude of the motion.=________________mFind the period of the motion.=________________sFind the frequency of the motion.=_________________Hz

A block with a mass M is attached to a horizontal spring with a spring constant...

A block with a mass M is attached to a horizontal spring with a spring constant k. Then attached to this block is a pendulum with a very light string holding a mass m attached to it. What are the two equations of motion? (b) What would these equations be if we assumed small x and φ? (Do note that these equations will turn out a little messy, and in fact, the two equations involve both variables (i.e. they are...

Question