Question 4; A machine is \( 10 \% \) efficient. A work input of 350 J is used, find the work output done by the machine. ( 3 marks)

(b.) student : (1) My Day 9. An airplane starts from rest and accelerates at a constant rate of \( 3.00 \mathrm{~m} / \mathrm{s}^{2} \) for 30.0 s before leaving the ground. a. How far did it move? b. How fast was it going when it took off? 10. A brick is dropped from a high scaffold. a. What is its velocity after 4.0 s ? b. How far does the brick fall during this time? 11. A tennis ball is thrown straight up with an initial speed of \( 22.5 \mathrm{~m} / \mathrm{s} \). It is caught at the same distance above the ground. a. How high does the ball rise? b. How long does the ball remain in the air?

In one of the processes on the production line at a Sugar Mill, a quantity of gas occupying an original volume of \( 1500 \mathrm{dm}^{3} \) and at an original temperature of \( 300^{\circ} \mathrm{C} \) is expanded adiabatically to a temperature and pressure of \( 135^{\circ} \mathrm{C} \) and 200 kPa respectively. After this adiabatic expansion the gas is heated at constant volume until a pressure of 300 kPa is reached. Given: \( \mathrm{R}=0.286 \mathrm{~kJ} \cdot \mathrm{~kg}^{-1} \cdot \mathrm{~K}^{-1} ; \quad \mathrm{C}_{\mathrm{p}}=1.001 \mathrm{~kJ} \cdot \mathrm{~kg}^{-1} \cdot \mathrm{~K}^{-1}, 1 \mathrm{dm}=10^{-1} \mathrm{~m} \) Assist the production supervisor to: 1.1 Draw a fully labelled \( \mathrm{P}-\mathrm{V} \) diagram for this multi-process system. 1.2 Find the mass of the gas and pressure of the gas before the adiabatic expansion process. 1.3 Find the final volume and final temperature after both processes. 1.4 Find the specific work and specific heat transferred after both processes.

\( b= \) Expresar 40 kgf en N

\( \left. \begin{array} { c } { L = L _ { 0 } \sqrt { 1 - \frac { v ^ { 2 } } { c ^ { 2 } } } } \\ { = 90 \sqrt { 1 - \frac { ( 0.8 C ) ^ { 2 } } { ( 3 \times 10 ^ { 8 } ) ^ { 2 } } } = 54 m } \end{array} \right. \)

19. Ordina Tre automobili accelerano mentre percorrono un tratto rettilineo di strada: auto 1: passa da \( 25 \mathrm{~m} / \mathrm{s} \) a \( 35 \mathrm{~m} / \mathrm{s} \) in 10 s auto 2: passa da 0 a \( 30 \mathrm{~m} / \mathrm{s} \) in 15 s auto 3: passa da \( 32 \mathrm{~m} / \mathrm{s} \) a \( 12 \mathrm{~m} / \mathrm{s} \) in 5 s Ordinale per accelerazione crescente.