Question

Please answer and provide explanation on how to solve these problems. Thank you!

1) A block of mass 5.67 kg rests on a horizontal table. The block is pushed with a force of 70.2N that makes an angles of 25.0 degrees with the horizontal. The coefficient of kinetic friction between the block and surface of the table is 0.256. What is the acceleration of the block? What is its speed after traveling 2.30m?

2) The volume and the pressure of the Argon gas of 2.00 mol are 2.000L and 10.0atm respectively. The molar mass of Argon is 40.00 g/mol. Wha id the vrms speed of argon atom?

Compare this with vrms speed of hydrogen under the same conditions! Molar mass of hydrogen is 2,00g/mol.

1 atm = 10^5 Pa; 1L = 10^-3 m^3. R = 8.314 J/mol.k

3)A 250.0 g of copper calorimeter contain 500.0g of water at 20.0C. A block of mass 100.0g at 25.00C of water at 85.00C are added to the calorimeter. When thermal equilibrium is reached the final temperature of the system is 50.00C. What is the specific heat of the block?

Specific heat: Copper = 387J/kg.C; Water = 4186J/Kg.C

4) A container is filled up to the rim with 1.5L of mercury at 20C. he container is heated to 70C, 8ml of mercury spills out. Calculate the linear expansion coefficient of the container. The volume expansion of mercury is 1.8x10^-4/C. 1L = 10^-3 m^3, 1ml = 10^-3 L

Answer 1

Explanation for = 3......

V = abcL³ , Dimensions, aL , bL , cL
V' = abc L'3

L' = L(1+)

So,
V(1+) = abcL³ (1+)³
1+ = 1³ + 3.1². + 3.1.()² + ()³
()² = very small
()³ = very small
so,
1+ = 1 + 3
= 3