Question Solved1 Answer Problem 1. A heavy particle M moves up a rough surface of inclination a = 30 to the horizontal. Initially the velocity of the particle is v, = 15 m/s. The coefficient of friction is f = 0.1. Determine the distance travelled by the particle before it comes to rest and the time taken. Problem 1. A heavy particle M moves up a rough surface of inclination a = 30 to the horizontal. Initially the velocity of the particle is v, = 15 m/s. The coefficient of friction is f = 0.1. Determine the distance travelled by the particle before it comes to rest and the time taken.

Q2. The system in Figure 2 is open to 1 atm on the right side. (a) If L=120 cm, what is the air pressure in container A? (b) Conversely, if PA 135 kPa, what is the length L Air 32 cm 15 cm 18 cm 350 Mercury Water Figure 2 Course Instructor: Dr. A. A. Kwarteng

5. Justify your answers to the following with calculations. [8] a) You were driving at a speed of 75 miles per hour and you were pulled over by the police for going over the speed limit of 100 km/h. How many km/h over the speed limit were you driving? b) A T-bone steak sells for $4.99/1b at store A and for $10/kg at store B. Which price is the better buy? c) 5. Justify your answers to the following with calculations. [8] a) You were driving at a speed of 75 miles per hour and you were pulled over by the police for going over the speed limit of 100 km/h. How many km/h over the speed limit were you driving? b) A T-bone steak sells for $4.99/1b at store A and for $10/kg at store B. Which price is the better buy? c) A can of paint states that it will cover 40 m². Is one can enough to paint walls with a total area of 500 ftº? d) An advertisement states that a car's fuel consumption is 35 mpg. What is this fuel consumption in litres per 100 km?

please answer the following, thank you **Show ALL of your work. 1. Solve the following inequalities using an algebraic method. ✓✓ & ✓✓✓ a) x(x + 2)(x-2)(x + 3) ≥ 0 b) x²-2x-15 x²-16 20 for a function with a vertical asymptote at x = -2 and a kx-c 2. Determine an equation in the form f(x)=; y-intercept of✔✔ 3. Prove that sin (x+) = cos x is an identity. ✔✔

The smooth surface of the vertical cam is defined in part by the curve \( r=(0.2 \cos \theta+0.3) \mathrm{m} \) (Figure 1) If the forked rod is rotating with a constant angular velocity of \( \dot{\theta}=4 \mathrm{rad} / \mathrm{s} \), determine the force the cam and the rod exert on the 1.5-kg roller when \( \theta=30^{\circ} \). The attached spring has a The smooth surface of the vertical cam is defined in part by the curve \( r=(0.2 \cos \theta+0.3) \mathrm{m} \) (Figure 1) If the forked rod is rotating with a constant angular velocity of \( \dot{\theta}=4 \mathrm{rad} / \mathrm{s} \), determine the force the cam and the rod exert on the 1.5-kg roller when \( \theta=30^{\circ} \). The attached spring has a stiffnesss \( k=30 \mathrm{~N} / \mathrm{m} \) and an unstretched length of \( 0.1 \mathrm{~m} \). Express your answers in newtons using three significant figures separated by a comma.

4. In humans, the antibiotic Ceftriaxone has the mean values for the apparent volume of distribution 300 L and total clearance CL=14L/h and t1/2= 8 h. . Salmonella infection is susuceptible to Ceftriaxone at concntration above 5 ug/mL and patient gets overdosed at the levels above 80ug/L. Calculate an IV dose ad infusion rate that provides steady-state level of 30ug/mL in human. b)The doctor decides to give a dose of 12 mg and started a constatnt infusion at the same Ro calculated . Ceftriaxone is eliminated as unchanges in the urine and the drug concentrations were recorded as; Time (h.) Con. Ug/L 0 4 12 6 24 6.8 36 7.5 360 10 a) Compute the Vd for patient (10pts) b) Compute the CL (10pts)

4. In humans , the antibiotic Ceftriaxone has the mean values for the apparent volume of distribution 300 L and total clearance CL=14L/h and t1/2= 8 h. . Salmonella infection is susuceptible to Ceftriaxone at concntration above 5 ug/mL and patient gets overdosed at the levels above 80ug/L. Calculate an IV dose ad infusion rate that provides steady-state level of 30 ug/mL in human. b)The doctor decides to give a dose of 12 mg and started a constatnt infusion at the same R, calculated . Ceftriaxone is eliminated as unchanges in the urine and the drug concentrations were recorded as ; Time (h.) Con. Ug/L 0 4 12 6 24 6.8 36 7.5 360 10 a) Compute the Vd for patient (10pts) b) Compute the CL (10pts)