A 195 g block is pressed against a spring of force constant 1.55 kN/m until the...

A 195 g block is pressed against a spring of force constant 1.55 kN/m until the block compresses the spring 10.0 cm. The spring rests at the bottom of a ramp inclined at 60.0° to the horizontal. Using energy considerations, determine how far up the incline (in m) the block moves from its initial position before it stops under the following conditions.

(a)

if the ramp exerts no friction force on the block

_______m

(b)

if the coefficient of kinetic friction is 0.420

________m

(c)

What If? If the ramp is 4.00 m long, what is the maximum coefficient of friction that would allow the block to reach the end of the ramp?

__________

Solutions

Expert Solution

I hope you understood the problem and got your answers, If yes rate me!! or else comment for a better solutions

genius_generous answered 3 months ago

Next > < Previous

Related Solutions

A block of mass m is pressed against a light spring by a distance d and...

A block of mass m is pressed against a light spring by a distance d and is kept at rest (Fig. 1). The spring, of elastic constant k, is released and the block is thrown on a horizontal surface without friction. The smooth surface curves upward and the block rises. Calculate your speed when you have climbed a height h. (Express v as a function of k, m, d, h and g).

A frictionless block of mass 1.55 kgkg is attached to an ideal spring with force constant...

A frictionless block of mass 1.55 kgkg is attached to an ideal spring with force constant 350 N/m . At t=0 the spring is neither stretched nor compressed and the block is moving in the negative direction at a speed of 12.9 m/s . a)Find the amplitude. b)Find the phase angle. c)Write an equation for the position as a function of time. a)x=(−x=(−0.858 mm )sin(()sin((15.0 rad/srad/s )t))t) b)x=(−x=(−0.858 mm )cos(()cos((15.0 rad/srad/s )t))t) c)x=(−x=(−15.0m)sin((m)sin((0.858rad/s)t)rad/s)t) d)x=(−x=(−15.0m)cos((m)cos((0.858rad/s)t)rad/s)t)

A wooden block of mass 20.0 g is placed on a table, and pressed against a...

A wooden block of mass 20.0 g is placed on a table, and pressed against a spring. The spring, of spring constant 25.0 N/m, is compressed 10.0 cm. Once released, the block slides (with friction) across the tabletop and eventually lands 1.59 m from the edge of the table on the floor, as shown in the figure. The tabletop is 1.00 m above the floor level. What is the speed of the block at the moment it leaves the tabletop?...

A 190 g block attached to a spring with spring constant 2.8 N/m oscillates horizontally on...

A 190 g block attached to a spring with spring constant 2.8 N/m oscillates horizontally on a frictionless table. Its velocity is 20 cm/s when x0 = -5.3 cm . a) What is the amplitude of oscillation? b) What is the block's maximum acceleration? c) What is the block's position when the acceleration is maximum? d) What is the speed of the block when x1 = 2.7 cm ?

A 170 g block attached to a spring with spring constant 2.1 N/m oscillates horizontally on...

A 170 g block attached to a spring with spring constant 2.1 N/m oscillates horizontally on a frictionless table. Its velocity is 19 cm/s when x0 = -4.0 cm . A) What is the amplitude of oscillation? B) What is the block's maximum acceleration? C) What is the block's position when the acceleration is maximum? D) What is the speed of the block when x1 = 3.3 cm ?

A 200 g block attached to a spring with spring constant 2.1 N/m oscillates horizontally on...

A 200 g block attached to a spring with spring constant 2.1 N/m oscillates horizontally on a frictionless table. Its velocity is 20 cm/s when x0 = -4.6 cm . A. What is the amplitude of oscillation? B. What is the block's maximum acceleration? C. What is the block's position when the acceleration is maximum? D. What is the speed of the block when x1 = 3.2 cm ?

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...

A 2.20 kg frictionless block is attached to an ideal spring with force constant 314 n/m...

A 2.20 kg frictionless block is attached to an ideal spring with force constant 314 n/m . Initially the block has velocity -3.70 m/s and displacement 0.270 m.Find the amplitude of the motion in mFind the maximum acceleration of the block in m/s^2Find the maximum force the spring exerts on the block in n

Question: A block is hung vertically from a spring of force constant 50N/m and slowly lowered...

Question: A block is hung vertically from a spring of force constant 50N/m and slowly lowered to equilibrium, stretching the spring by 0.1m. If instead of being lowered slowly to equilibrium, the block --still attached to the spring-- was released from rest and allowed to fall, which of the following would happen? Answer: A) It would descend 0.1m and remain at that position B) It would descend 0.1m and reverse its direction of motion C) It would descend 0.2m and...

A 0.900-kg block attached to a spring with force constant k = 1.20 N/m oscillates with...

A 0.900-kg block attached to a spring with force constant k = 1.20 N/m oscillates with an amplitude equal to half its natural length. The natural (un-stretched) length of the spring is 18.0 cm. (a) When submitting your work, sketch the figure below illustrating the position, and directly underneath that, the velocity of the mass as a function of time. Assume that x = 9.00 cm and v =0 m/s when t = 0.00 s. Label the amplitude A and...

Subjects