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Dynamics: Impulse and momentum 0002

A body of 18 kg is moving at 32 m/s when receives a force of 12.5 N, in the same direction and sense of its movement. The final speed of the body is 50 m/s. Which had been the acceleration? How long the body received the force?

Dynamics: Hooke’s Law 0001

Below is shown a data table obtained in the laboratory by measuring the deformation of a spring due the weight of different objects:

\begin {tabular}{|c|c|}
\hline Force (N)&Lenght (m)\\
\hline 0&0.2\\
\hline 0.5&0.3\\
\hline 1&0.4\\
\hline 1.5&0.5\\
\hline
\end {tabular}

a) What is the spring constant?

b) What force is necessary to make a deformation of 15 cm in the spring?

c) What will be the length if we use a weight of 2.3 N?

Dynamics: Force and mass 0002

Determine the acceleration that suffers a body of 20 kg when a constant force of 185 N is applied on it.

Dynamics: inclined plane 0002

Calculate the acceleration of the system below if the mass of the body 2 is double than the mass of body 1 and the coefficient of kinetic friction are \mu_1 = 0.12 and \mu_2 = 0.15. Consider \alpha = 30º and \beta = 40º.

Dynamics: Simple gravity pendulum 0001

A metal ball is suspended on a string of 15 cm in lenght. Determine what frecuency of oscillation is necessary to the tension in the string would be double of the weight of the ball in the lowest point. (Consider the string massless).

Newton’s Laws: Static 0001

We push an object with 2 kg of mass against a vertical wall with a 50 N force. If the coefficient of static friction is 0.40, will the object fall?

Dynamics: connected bodies 0003

In the system of the figure the coefficient of kinetic friction is 0.40 and the masses of the bodies are m_1 = 30 kg and m_2 = 7.5 kg. Does moving the system? What the acceleration would be?

Dynamics: inclined plane 0001

We put a body on top of an inclined plane having an angle of 30° to the horizontal. If the coefficient of kinetic friction is 0.2, what is the acceleration down the incline?

Dynamics: connected bodies 0002

In the system of the figure there is not friction and the masses of the bodies are m_1 = 12 kg and m_2 = 7 kg. Draw all the forces present in the system, calculate the acceleration and string tension.

Dynamics: Atwood machine 0001

In the system of the picture m_1 = 4 kg and m_2 = 6 kg. Calculated the acceleration and the tension in the rope. Consider massless rope and there is not friction.

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