Question

A 4 kg block sits at rest on a frictionless table. It is connect by a light string over an ideal pulley to a 2 kg block hanging off the edge of the table. If the 2 kg block is released, how long will it take to fall 56 cm????

Answer #1

for hanging mass of 2 kg ,

tension (T) in the string = m(g-a)

= (2)(g-a)

= 2g - 2a ..(1)

for stationary block of mass 4 kg

tension (T) in the string = m1a

= 4a ..(2)

equating equations 1 and 2

2g - 2a = 4a

2g = 6a

g/3 = a

9.8/3 = a

a = 3.27 m/s^2

therefore, acceleration of both the masses is equal to 3.27 m/s^2

now, d = 56 cm = 0.56 m

using equation of motion , d = ut + (1/2) at^2 ; where u is the initial velocity = 0 m/s

d = (1/2) at^2

0.56 = (1/2)(3.27)t^2

t = **0.585** seconds.

{ time taken by hanging mass to fall a distance equal to 56 cm}

Please ask your doubts or queries in the comment section below.

Please kindly upvote if you are satisfied with the solution.

Thank you.

A block of mass 2 kg that sits on a horizontal table is
connected to a block of mass 6 kg that sits on a ramp of angle 34
⁰down from the horizontal by a massless string that runs over a
pulley in the shape of a solid disk having radius 0.93 m and mass
10 kg. The coefficient of friction for both blocks is 0.256.
(a) What is the acceleration of the blocks?
(b) The tension in the string...

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...

A block of mass 1.970 kg is free to slide on a
frictionless, horizontal surface. A cord attached to the block
passes over a pulley whose diameter is 0.150 m , to a
hanging book with mass 3.030 kg . The system is released
from rest, and both the book and the block are observed to move a
distance 1.19 m over a time interval of
0.780 s ; at the instant at which that distance is
measured, the book is still moving downwards and...

A 20 kg block is placed on a frictionless ramp inclined at
30.68°. A string connects the block to a hanging mass on the other
side of a pulley mounted at the top of the ramp. The tension in the
string is 52
1.What is the acceleration of the block down the ramp?
2.What is the mass of the hanging mass?

A block of mass (11 kg) lays on a flat, frictionless, circular
table. The block initially sits halfway between the table’s center
and its edge. The block is then attached to a spring which is
anchored to the center of the table. The spring-mass setup is then
set to spin in uniform circular motion. How fast (linear speed) can
the block be spun before the stretch in the spring becomes too
large and the block falls off of the table?...

The system shown in the figure below consists of a mass M =
4.1-kg block resting on a frictionless horizontal ledge. This block
is attached to a string that passes over a pulley, and the other
end of the string is attached to a hanging m = 2.4-kg block. The
pulley is a uniform disk of radius 8.0 cm and mass 0.60 kg.
(a) What is the acceleration of each block?
acceleration of M = 4.1 kg
acceleration of m...

A 15 g bullet is fired at 610 m/s into a 4.7 kg block that sits
at the edge of a 75 cm-high table. The bullet embeds itself in the
block and carries it off the table.
How far from the point directly below the table's edge does the
block land?
Express your answer with the appropriate units.

A 1.5 kg block and a 2.7 kg block are attached to opposite ends
of a light rope. The rope hangs over a solid, frictionless pulley
that is 28 cm in diameter and has a mass of 0.80 kg .
When the blocks are released what is the acceleration of the
lighter block? Express your answer in meters per second squared

An object of mass m1 = 4.90 kg placed on a frictionless,
horizontal table is connected to a string that passes over a pulley
and then is fastened to a hanging object of mass m2 = 7.40 kg as
shown in the figure.

A 10 g bullet is fired with 450 m/s into a 10 kg block that sits
at rest on a wooden table 20 cm from the edge of the table. The
bullet gets embedded in the block (perfectly inelastic collision).
The block, with the embedded bullet, then slides to the edge of the
table and drops down with some initial velocity while leaving the
edge of the table. The coefficient of kinetic friction between the
block and the surface of...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 19 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago