A mass m = 17 kg rests on a frictionless table and accelerated by a spring...

A mass m = 17 kg rests on a frictionless table and accelerated by a spring with spring constant k = 4916 N/m. The floor is frictionless except for a rough patch. For this rough path, the coefficient of friction is μk = 0.47. The mass leaves the spring at a speed v = 3.2 m/s. 1) How much work is done by the spring as it accelerates the mass? 2) How far was the spring stretched from its unstreched length? 3) The mass is measured to leave the rough spot with a final speed vf = 1.3 m/s. How much work is done by friction as the mass crosses the rough spot? 4) What is the length of the rough spot? 5) In a new scenario, the block only makes it (exactly) half-way through the rough spot. How far was the spring compressed from its unstretched length? 6) In this new scenario, what would the coefficient of friction of the rough patch need to be changed to in order for the block to just barely make it through the rough patch?

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A mass m = 16 kg rests on a frictionless table and accelerated by a spring...

A mass m = 16 kg rests on a frictionless table and accelerated by a spring with spring constant k = 4739 N/m. The floor is frictionless except for a rough patch. For this rough path, the coefficient of friction is μk = 0.45. The mass leaves the spring at a speed v = 2.9 m/s. 1)How much work is done by the spring as it accelerates the mass? 2)How far was the spring stretched from its unstreched length? 3)The...

A mass m1 = 5.6 kg rests on a frictionless table and connected by a massless...

A mass m1 = 5.6 kg rests on a frictionless table and connected by a massless string to another mass m2 = 5.7 kg. A force of magnitude F = 44 N pulls m1 to the left a distance d = 0.88 m. Initally both blocks are at rest. 1) How much work is done by the force F on the two block system? J 2) How much work is done by the normal force on m1 and m2? J...

A mass m1 = 4.4 kg rests on a frictionless table and connected by a massless...

A mass m1 = 4.4 kg rests on a frictionless table and connected by a massless string over a massless pulley to another mass m2 = 3.8 kg which hangs freely from the string. When released, the hanging mass falls a distance d = 0.7 m. 1)How much work is done by gravity on the two block system? 2)How much work is done by the normal force on m1? 3)What is the final speed of the two blocks? 4)How much...

A mass m1 = 4.7 kg rests on a frictionless table and connected by a massless...

A mass m1 = 4.7 kg rests on a frictionless table and connected by a massless string over a massless pulley to another mass m2 = 4.3 kg which hangs freely from the string. When released, the hanging mass falls a distance d = 0.76 m. 1. How much work is done by gravity on the two block system? 2. How much work is done by the normal force on m1? 3. What is the final speed of the two...

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...

A block with mass M1 rests on a frictionless table. It is connected by a massless...

A block with mass M1 rests on a frictionless table. It is connected by a massless string to a block with mass M2, which hangs below the edge of the table. The system is released from rest at time t = 0. Find the distance block M1 moves in time t. You may assume that the string passes over a massless, frictionless pulley at the edge of the table to assist your calculations.

2 part question, Thumbs up promised A) A block with mass m = 17 kg rests...

2 part question, Thumbs up promised A) A block with mass m = 17 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4112 N/m after being compressed a distance x1 = 0.526 m from the spring’s unstretched length. The floor is frictionless except for a rough patch a distance d = 2.2 m long. For this rough path, the coefficient of friction is μk = 0.43. How much work is done...

A block-spring oscillator on a frictionless table has k = 125 N/m and block mass =...

A block-spring oscillator on a frictionless table has k = 125 N/m and block mass = 0.5kg; the block is oscillating back and forth and its initial position (i.e. when t = 0 sec) is when the spring is compressed to a maximum amount of 1.25 m: a) In 10 seconds how many times does the block oscillate back and forth? b) What are the maximum kinetic energy and the maximum velocity of the block? c) Where is the block...

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 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.

Subjects