Work 1D - Problem Solving

         

A body of mass m=2 kg m = 2 \text{ kg} is dropped from h=70 cm h = 70 \text{ cm} above a horizontal platform that is fixed to one end of an elastic spring, as shown in the figure above. As a result the spring is compressed by an amount of Δx=20 cm.\Delta x = 20 \text{ cm}. What is the spring constant of the spring?

The gravitational acceleration is g=10 m/s2 g= 10 \text{ m/s}^2 and the air resistance is negligible.

A body initially at rest is dropped from a height of h=45 m. h = 45\text{ m}. If the coefficient of restitution is e=0.6, e= 0.6, what is the height the body reaches at the second bounce?

The gravitational acceleration is g=10 m/s2. g= 10 \text{ m/s}^2.

A 1414-meter-long rod of mass 2 kg 2 \text{ kg} with homogeneous density is standing vertically with one end on a horizontal floor. Find the gravitational potential energy of the rod.

The gravitational acceleration is g=10 m/s2. g = 10 \text{ m/s}^2.

A body of mass m=5 kg m = 5 \text{ kg} is moving on a frictionless horizontal plane with a velocity of v=4 m/s. v= 4 \text{ m/s}. The body is heading to the vertical platform fixed to one end of an elastic spring, as shown in figure above. As a result the spring is compressed by an amount of Δx=20 cm.\Delta x = 20 \text{ cm}. What is the spring constant of the spring?

A block of mass m1=3 kg m_1 = 3 \text{ kg} is moving on a frictionless horizontal surface with a velocity of u1=16 m/s u_1 = 16 \text{ m/s} towards another block of mass m2=9 kg m_2 = 9 \text{ kg} that is moving on the same surface with a velocity of u2=8 m/s u_2 = 8 \text{ m/s} in the same direction. A massless spring of spring constant k=36 N/m k = 36 \text{ N/m} is attached to m2 m_2 as shown in figure above. When block m1 m_1 collides with the spring, what is the maximum change in the spring's length?

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