Question

Two masses are connected by a light string passing over a light, frictionless pulley as in...

Two masses are connected by a light string passing over a light, frictionless pulley as in Figure P5.63. The m1 = 4.75 kg object is released from rest at a point 4.00 m above the floor, where the m2 = 3.20 kg object rests. Please define all variables in solving

(a) Determine the speed of each object when the two pass each other.

(b) Determine the speed of each object at the moment the 4.75 kg mass hits the floor.

(c) How much higher does the 3.20 kg mass travel after the 4.75 kg mass hits the floor?

Homework Answers

Answer #1

a) The net change in potential energy will equal the increase in kinetic energy

PE = KE

(m1 - m2)gh = ½(m1 + m2)v²
v² = (m1 - m2)gh / ½(m1 + m2)
v² = (4.75 - 3.20)9.81(4 - 2) / ½(4.75 + 3.20)
v = 7.65 m/s


b) same equation, different height
v² = (4.75 - 3.20)9.81(4 - 0) / ½(4.75 + 3.20)
v = 15.3 m/s

c) the velocity energy found in (b) gets converted to potential.

PE = KE
mgh = ½mv²
gh = ½v²
h = v²/2g
h = 15.3²/2(9.81)
h = 11.93 m extra height if there is enough length in the string to allow it.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Two masses are connected by a light string passing over a light, frictionless pulley, as shown...
Two masses are connected by a light string passing over a light, frictionless pulley, as shown in the figure below. The object of mass m1 is released from rest at height h above the table. Use the isolated system model to answer the following. (We assume m1 > m2.) (a) Determine the speed of m2 just as m1 hits the ground. (Use any variable or symbol stated above along with the following as necessary: g.) v = (b) Find the...
Two masses are connected by a massless string, passing over a massless, frictionless pulley as shown...
Two masses are connected by a massless string, passing over a massless, frictionless pulley as shown in the diagram. Mass m1 = 5 kg, and is released from rest at a height h = 4 m above the table. Mass m2 = 3 kg, and starts at rest on the table. Ignore friction and air resistance. Take the system to be the two masses and the earth. What is the potential energy of this system, in Joules? Next, you let...
A mass m1 is connected by a light string that passes over a pulley of mass...
A mass m1 is connected by a light string that passes over a pulley of mass M to a mass m2 sliding on a frictionless horizontal surface as shown in the figure. There is no slippage between the string and the pulley. The pulley has a radius of 25.0 cm and a moment of inertia of ½ MR2. If m1 is 1.00 kg, m2 is 2.00 kg, and M is 4.00 kg, then what is the tension in the string...
Two masses are connected by a massless string and a frictionless pulley. The masses of the...
Two masses are connected by a massless string and a frictionless pulley. The masses of the blocks are; m1=500 g and m2= 150g. The coefficiant of friction between m1 and the surface is 0.25. (a) What is the acceleration of the masses? (b) What is the tension in the string?
Question 1 Part a) Two objects are connected by a light string passing over a light,...
Question 1 Part a) Two objects are connected by a light string passing over a light, frictionless pulley as shown in the figure below. The object of mass m1 = 6.40 kg is released from rest at a height h = 3.20 m above the table. Find the maximum height above the table to which the 3.00–kg object rises. Part b)A smooth circular hoop with a radius of 0.900 m is placed flat on the floor. A 0.375-kg particle slides...
Two objects are connected to a rope, and the rope is hung over a pulley connected...
Two objects are connected to a rope, and the rope is hung over a pulley connected to the ceiling, as shown in the figure below. Two objects, labeled m1 and m2, are connected to a rope which is hung over a pulley connected to the ceiling. The pulley is of mass M and radius R. An object labeled m1 hangs suspended off the surface on the left side of the pulley. An object m2 is on the right side of...
Two packing crates of masses m1 = 10.0 kg and m2 = 4.70 kg are connected...
Two packing crates of masses m1 = 10.0 kg and m2 = 4.70 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 4.70-kg crate lies on a smooth incline of angle 35.0°. Find the following. Two crates are connected to each other by a string that passes over a pulley, which is attached to the top corner of a wedge. The crate of mass m1 hangs freely below the pulley....
A small table is placed in an elevator. A light, frictionless pulley is attached to the...
A small table is placed in an elevator. A light, frictionless pulley is attached to the end of the table.Two masses are connected by a string that passes over the pulley; m1 = 3.0 kg rests on the table, and m2 = 2.0 kg hangs off the side. Between m1 and the table there is no friction. While the elevator begins moving, the masses are measured by observers in the elevator to have an acceleration of a′. (a) Find the...
Two masses M1 and M2 are connected by an inextensible flexible massless string. The mass rests...
Two masses M1 and M2 are connected by an inextensible flexible massless string. The mass rests on a table with frictional co-efficient 0.2. The string passes over a smooth fixed pulley as shown. Initially the string is slack The mass M2 is allowed to fall freely from rest. The string becomes taught when the mass M2 falls through 50 cm. The two masses subsequently move with common velocity. Determine how far mass M1 will travel on the table before coming...
A 4.00 kg block hangs by a light string that passes over a massless, frictionless pulley...
A 4.00 kg block hangs by a light string that passes over a massless, frictionless pulley and is connected to a 6.00 kg block that rests on a frictionless shelf. The 6.00 kg block is pushed agaisnt a spring to which it is not attached. THe spring has a spring constant of 180 N/m , and it is compressed by 30.0cm. Find the speed of the block after the spring is released and the 4.00 kg block has fallen a...