A spring of negligible mass is compressed between two masses on a frictionless table with sloping...

A spring of negligible mass is compressed between two masses on a frictionless table with sloping ramps at each end. (Note: the masses are not attached to the spring in any way, and so will fly apart after release.) The masses are released simultaneously. The mass M1 is greater than that of M2. Select the appropriate symbol for each statement: G (Greater than), L (Less than), or E (Equal to). (If the first two are 'greater than,' and the last four 'less than,' then enter GGLLLL).

A) The magnitude of M2's momentum is ... that of M1 before and just after loss of contact with the spring.
B) The duration of the force exerted by the spring on M2 is ... the time the force acts on M1.
C) The final height up the ramp reached by M1 is ... the height reached by M2.
D) The kinetic energy of M1 is ... the kinetic energy of M2 once they both lose contact with the spring.
E) The magnitude of the force exerted by the spring on M1 is ... that it exerts on M2.
F) The speed of M2 is ... the speed of M1 once they both lose contact with the spring.

Expert Solution

genius_generous answered 2 years ago

two small blocks with masses m and 2m are attached to a spring with negligible mass,...

two small blocks with masses m and 2m are attached to a spring with negligible mass, spring constant k, and has a natural length defined by L. The blocks and the springs rest on a horizontal surface without friction with the block with mass m in frictionless contact with a wall located at x=0. the system is entirely released from rest at t=0 with spring compressed to a length l/2. Determine the linear momentum impulse delivered to the lighter block...

Two carts sit on a horizontal, frictionless track; the spring between them is compressed. The small...

Two carts sit on a horizontal, frictionless track; the spring between them is compressed. The small cart has mass m, and the mass of the larger cart is M = 5.29m. NOTE: Every velocity needs magnitude and direction (given by the sign). a) Suppose the carts are initially at rest, and after the "explosion" the smaller cart is moving at velocity v = +4.88 m/s. - Find the velocity of the larger cart. V = Assume now that the mass...

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.

An object with m1 = 5kg is attached to a spring of negligible mass. This mass/spring...

An object with m1 = 5kg is attached to a spring of negligible mass. This mass/spring combination is then slid horizontally on a frictionless surface with a velocity of 5m/s towards a stationary object with m2 = 6kg. Upon impact, the spring compresses, then we examine two cases. First, find the velocities of the two objects assuming the spring completely relaxes again after the interaction. Second, assume that m2, after they separate, slides up a frictionless incline. (a) What is...

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...

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 is placed on a frictionless, horizontal table. A spring ( k = 185 k=185...

A mass is placed on a frictionless, horizontal table. A spring ( k = 185 k=185 N/m), which can be stretched or compressed, is placed on the table. A 4.5-kg mass is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x = 7.0 x=7.0 cm and releases it from rest. The mass oscillates in simple harmonic motion. Find the position, velocity, and acceleration of the mass at time t =...

In the system below, the rope and pulley have negligible mass, and the pulley is frictionless.

In the system below, the rope and pulley have negligible mass, and the pulley is frictionless. The two blocks have masses of 6.0 kg and 4.0 kg, as shown, and the coefficient of kinetic friction between the 6.0 kg block and the tabletop is μk = 0.230. The blocks are released from rest. a. Use energy methods to calculate the speed of the 4.0 kg block after it has descended 1.2 m. b. Use Newton's second law to calculate the speed of...

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...

Consider 4 blocks with different masses mi connected by ropes of negligible mass.

use python. Consider 4 blocks with different masses mi connected by ropes of negligible mass. Three of the blocks lie on an inclined plane and the fourth lies in the direction of the gravity vector. The coefficients of friction between the blocks and the inclined plane are µi. The equations of motion governing these four blocks are described by the following system of equations: T1 + m1a = m1g(sin(theta) - µ1*cos(theta)) -T1 + T2 +m2a = m2g(sin(theta) - µ2*cos(theta)) -T2...

Question