Q1. What mass (in grams) of steam at 100°C have to be mixed with 277 g of ice at its melting point, in a thermally insulated container, to make liquid water at 28.0°C? The specific heat of water is 4186 J/kg•K. The latent heat of fusion is 333 kJ/kg, and the latent heat of vaporization is 2256 kJ/kg.
Q2. The summit of a mountain, 2085 m above base camp, is measured on a map to be 4580 m horizontally from the camp in a direction 32.4 degree west of north. What are the components of displacement vector from camp to summit? What is its magnitude? Decide the x axis east, y axis north, and z axis up.
Q3. A 410 g air-track glider attached to a spring with spring constant 10 N/m is sitting at rest on a frictionless air track. A 280 g glider is pushed toward it from the far end of the track at a speed of 120 cm/s. It collides with and sticks to the 410 g glider. What are amplitude and period of the subsequent oscillations?