A sample of quartz, which has a specific heat capacity of 0.730 Jg1, is put into a calorimeter (see sketch at right) that contains 300.0 g of water. The quartz sample starts off a insulated 95.8 °C and the temperature of the water starts off at 15.0 °C, when the temperature of the water stops changing it's 17.7 °C. The pressure remains constant at 1 atm.

Calculate the mass of the quartz sample.

Explanation:

Given:

specific heat capacity of quartz,

mass of water,

initial temperature of quartz,

initial temperature of water,

final settled temperature of water after quartz is put into it,

Now by the law of conservation of energy using heat equations:

where:

specific heat of water = ,

is the mass of quartz.

what was the acceleration of the 2 kg cart?

⇒ 16.0 cm/s2

what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

what was the acceleration of the 6 kg cart?

⇒ 5.3 cm/s2

at positions a, g kinetic energy is maximum.

at position d, potential energy is maximum.