Question

In: Physics

Two blocks (m1=3kg, m2=7.8kg ) are connected by a string that passes through a massless pulley...

Two blocks (m₁₌3kg, m₂₌7.8kg ) are connected by a string that passes through a massless pulley as shown in the Figure. The first block with mass m₁ slides up the inclined plane when the system is released. The inclined plane makes an angle θ = 22⁰ with the horizontal and the kinetic friction coefficient between the inclined plane and m₁ is =0.49. Take g=10m/s² Find the speed of the block with mass m₂ after it travels h=5.8m.

Expert Solution

First, find the acceleration of the blocks.

Refer the figure

is the frictional force on block m1

is the normal force on block m1

is the tension in the string

------

Points to remember:

Frictional force = Coefficient of friction*Normal force.

Weight of block m1, is acting vertically downwards and it can be split into its components.

============

Consider block m1

Net Force = Mass*acceleration

------------(1)

===============================

Consider block m2

Net Force = Mass*Acceleration

Put (1) in the above equation

===================

Consider block m2

The blocks are released from rest, so the initial velocity is zero.

Use formula

ANSWER:

======================================

genius_generous answered 3 years ago

Two blocks are connected by a light string that passes over a frictionless pulley as in...

Two blocks are connected by a light string that passes over a frictionless pulley as in the figure below. The system is released from rest while m2 is on the floor and m1 is a distance h above the floor. (a) Assuming m1 > m2, find an expression for the speed of m1 just as it reaches the floor. (Use any variable or symbol stated above along with the following as necessary: g.) vf = Incorrect: Your answer is incorrect....

Two blocks are connected by a light string that passes over a frictionless pulley having a...

Two blocks are connected by a light string that passes over a frictionless pulley having a moment of inertia of 0.0040 kg*m2 and a radius of 5.0 cm. The coefficient of kinetic friction between the table top and the upper block is 0.300. The blocks are released from rest. Using energy methods, find the speed of the upper block just as it has moved 0.600 m.

wo blocks are connected by an ideal cord that passes over a frictionless pulley. If m1 = 3.6 kg and m2 = 9.2 kg, and block 2 is initially at r

Two blocks are connected by an ideal cord that passes over a frictionless pulley. If m1 = 3.6 kg and m2 = 9.2 kg, and block 2 is initially at rest 140 cm above the floor, how long does it take block 2 to reach the floor?

Two blocks, of weights 3.5 N and 5.8 N, are connected by a massless string and...

Two blocks, of weights 3.5 N and 5.8 N, are connected by a massless string and slide down a 39° inclined plane. The coefficient of kinetic friction between the lighter block and the plane is 0.064; that between the heavier block and the plane is 0.30. Assuming that the lighter block leads, find (a) the magnitude of the acceleration of the blocks and (b) the tension in the string.

Two boxes (m1 = 70.0kg and m2 = 51.0kg ) are connected by a light string...

Two boxes (m1 = 70.0kg and m2 = 51.0kg ) are connected by a light string that passes over a light, frictionless pulley. One box rests on a frictionless ramp that rises at 30.0? above the horizontal (see the figure below), and the system is released from rest. Find the acceleration of each box.

Two masses are connected by a light string, which passes over a frictionless pulley as shown...

Two masses are connected by a light string, which passes over a frictionless pulley as shown in fig .3 on a the chalkboard. The inclined plane is rough. When m1=10kg , m2 = 3.0 kg and theta = 60degrees, the 10 kg mass moves down the inclined plane and accelerates down the nclined pane at a rate of 2.0m/s^2. Find a) the tension in the string. b)the coefficient of kinetic friction between the 10 kg mass and the inclined plane.

Two boxes with masses m1=5.0 kg and m2=3.0 kg are connected by a massless rope, which...

Two boxes with masses m1=5.0 kg and m2=3.0 kg are connected by a massless rope, which is put over a massless, frictionless pulley. The coefficient of kinetic friction between the incline and the boxes is 0.12 and the coefficient of static friction between the incline and the boxes is 0.25.The angles of the inclines with respect to the horizontal are ?=45** and ?2=30**. Use 9.8 m/s^2 for gravity and assume the incline is fixed in space. a.) Show that the...

Two blocks are arranged as shown. The pulley can be considered to be massless, and friction...

Two blocks are arranged as shown. The pulley can be considered to be massless, and friction is negligible. M1 is three times more massive than M2. a. How are the magnitudes of acceleration of blocks 1 and 2 relate? b. What is the magnitude of acceleration on block 1 after the system is released from rest? c. If the system is released from rest, how far will M1 travel in 0.306 s?

The two blocks, m1 = 2.6 kg and m2 = 4.2, in the figure below are...

The two blocks, m1 = 2.6 kg and m2 = 4.2, in the figure below are connected by a massless rope that passes over a pulley. The pulley is 12 cm in diameter and has a mass of 2.0 kg. As the pulley turns, friction at the axle exerts a torque of magnitude 0.55 N · m. If the blocks are released from rest, how long does it take the 4.2 kg block to reach the floor from a height...

1. Suppose we have two blocks of masses m1 and m2. The block with mass m1...

1. Suppose we have two blocks of masses m1 and m2. The block with mass m1 is moving towards block m2 at speed v. After the collision, we measure the total kinetic energy and find that the total kinetic energy after the collision is m2/(m1+m2) less than the kinetic energy before the collision. Find the final speeds of the two blocks. What type of collision is this? 2. Explain, in words, how we know that a freely spinning asteroid in...