Question

In: Physics

two masses m1 = 4.70 kg and m2 which has a mass 50.0% that of m1,...

two masses m1 = 4.70 kg and m2 which has a mass 50.0% that of m1, are attached to a cord of negligible mass which passes over a frictionless pulley also of negligible mass. If m1 and m2 start from rest, after they have each traveled a distance h = 2.90 m, use energy content to determine the following.

(a) speed v of the masses


(b) magnitude of the tension T in the cord


Solutions

Expert Solution

To solve this problem you have to know about Potential energy and Kinetic energy

Step 1.

Definition:

Kinetic energy: Kinetic energy is an expression of the fact that a moving object can do work on whatever strikes ; quantifies the amount of work that the object might take as a result of their movement.

Potential energy: Potential energy is energy that results from the position or shape of the object. An object can have the ability to perform work as a result of its position in a gravitational field (gravitational potential energy).

Step 2.

ANSWERS:

a).- speed v of the masses

You can use the energy conservation

How both masess start of the rest we have the following

this is the same speed of the mass two.

b).-magnitude of the tension T in the cord

We go calculate the work done by mass 2

the mass 2 don't have potencial and kinetic energy initial, then we have the following

Ok, now remember that definition of work is force by distance, then we have the following

If you haev any question please let me know in the comments


Related Solutions

Two objects with masses of m1 = 3.20 kg and m2 = 7.90 kg are connected...
Two objects with masses of m1 = 3.20 kg and m2 = 7.90 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. A string passes over a pulley which is suspended from a horizontal surface. A circular object of mass m1 and a rectangular object of m2 are, respectively, attached to the left and right ends of the string. (a) Determine the tension in the string. N (b) Determine the acceleration...
Two objects with masses m1 = 37 kg and m2 = 39 kg are moving toward...
Two objects with masses m1 = 37 kg and m2 = 39 kg are moving toward each other with speeds V1 = 14 m/s and V2 = 18 m/s. They collide and stick together. Find their final: speed:
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...
Imagine two carts with different masses colliding (m1 = 2.0 kg, m2 = 1.0 kg). If...
Imagine two carts with different masses colliding (m1 = 2.0 kg, m2 = 1.0 kg). If cart one is initially moving at 10 m/s and the other cart is stationary, calculate the final speed of each mass after they have a 100% elastic collision. Please show all work!
Two blocks of masses m1= 2.00 kgand m2= 4.10 kg are released from rest at a...
Two blocks of masses m1= 2.00 kgand m2= 4.10 kg are released from rest at a height of h= 4.40 m on a frictionless track. When they meet on the level portion of the track, they undergo a head-on, elastic collision. Determine the maximum heights to which m1 and m2 rise on the curved portion of the track after the collision.
A. You have an Atwood's Pulley with the two hanging masses being m1=22 kg, m2=49 kg,...
A. You have an Atwood's Pulley with the two hanging masses being m1=22 kg, m2=49 kg, and the pulley having moment of inertia I=69 kg.m2 and radius R=3.4 m. Use g=9.78 m/s/s. When the system is in its free motion, calculate the magnitude of the torque , in units of N.m, on the pulley. B. You have an Atwood's Pulley with the two hanging masses being m1=32 kg, m2=52 kg, and the pulley having moment of inertia I=58.4 kg.m2 and...
A ball of mass m1 =5.2 kg and a block of mass m2 =2.0 kg are...
A ball of mass m1 =5.2 kg and a block of mass m2 =2.0 kg are connected with a lightweight string over a pulley with moment of inertia I and radius R=0.25m. The coefficient of kinetic friction between the table top and the block of mass m2 is μk = 0.4. If the magnitude of the acceleration is a=2.7 m/s2. torque_rotational a)What are the tensions T1 and T2 in the string. T1= N T2= N b)Calculate the moment of inertia...
An Atwood's machine consists of blocks of masses m1 = 9.1 kg and m2 = 20.0...
An Atwood's machine consists of blocks of masses m1 = 9.1 kg and m2 = 20.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M = 8.00 kg and radius r = 0.200 m. The block of mass m2 is allowed to drop, and the cord turns the pulley without slipping. a) Why must tension T2 be greater than T1 B) what is the acceleration of...
Two masses, m1 and m2, are falling but not freely. In addition to gravity, there is...
Two masses, m1 and m2, are falling but not freely. In addition to gravity, there is also a force F1 applied directly to m1 in the downward direction and a force F2 applied directly to m2 in the horizontal direction. Friction (µs) is present between the two masses and the forces are applied such that they do not rotate. The force F2 is as large as it can be and not have m2 slide relative to m1. (a) Find an...
A block of mass m1 = 1.31 kg and a block of mass m2 = 11.4...
A block of mass m1 = 1.31 kg and a block of mass m2 = 11.4 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 2 kg. The fixed, wedge-shaped ramp makes an angle of θ = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.24 for both blocks. Determine the acceleration of the blocks.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT