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4. An object 3 cm tall is placed 8 cm in front of a convex mirror of focal length 10 cm.
(i) Draw ray diagrams to locate the image formed.
(ii) What is the magnification of the image formed? (Hint: Magnification = image height (II')/object height (OO') or image distance/object distance or v/u.)
- If a Ferrari, with an initial velocity of 10 m/s, accelerates at a rate of 50 m/s/s for 3 seconds, what will its final velocity be?
2. While traveling along a highway a driver slows from 24 m/s to 15 m/s in 12 seconds. What is the automobile’s acceleration? (Remember that a negative value indicates a slowing down or
deceleration.)
3. A cyclist accelerates at a rate of 7.0 m/s2. How long will it take the cyclist to reach a speed of 18 m/s?
A particle moving along the x – axis in simple harmonic motion starts from the equilibrium position, the origin, at time t = 0 and moves to the right. The position of the particle after time, t, is given by the following equation: 𝑥 = 2.0 sin 3𝜋𝑡 m Calculate:
i. The maximum velocity of the motion.
ii. The acceleration of the object after 2 seconds (i.e. at t = 2 s).
iii. The distance travelled by the particle from t = 0 s to t = 2 s.
A constant net force of 200 N is applied to a cart in frictionless surface from rest to a velocity of 4m/s in s. What is the mass of the cart!
Two spherical objects have masses of 2.5 x 107 kg and 2 x 104 kg. The gravitational attraction between them is 34N. How far apart are their centers?
Q 5. A 5 kg of ice cube at −10℃ is mixed with 0.1 kg of water at 80 ℃. There is no heat
loss to the surrounding. The specific heat capacity of ice is 2.22 𝑘𝐽𝐾
−1𝑘𝑔−1
,The specific
heat capacity of water is 4.187 𝑘𝐽𝐾
−1𝑘𝑔−1
. The specific latent heat of fusion of ice is
333 𝑘𝐽 𝑘𝑔−1
.
(a) What is the final physical state of the mixture? (Gas, Liquid or Solid?)
Justify your answer using suitable calculations
(b) What is the final temperature of the mixture?
A certain ideal gas has a constant R = 38.9 ft-lb/lb-°R with k = 1.4. (a) if 3 lb of this gas undergoes a reversible nonflow.constant volume process from P, = 20 psia, 140°F to 740°F find: • the change in internal energy in Btu. . the change in enthalpy in Btu. • the heat in Btu. . the work in Btu. b. If the process in (a) is had been steady flow with AP=O. AK = 0, find: • the work in Btu. . the change in entropy in Btu/R.
A 4.5 x 107 kg meteor fell and struck the Earth near Flagstaff AZ, leaving a 180 m deep hole. If the meteor was moving at 20,000 m/s upon impact, with what average force did the meteor hit Earth?
- Propose a problem of a mixed circuit (minimum of 5 resistors) where you need to apply Ohm’s Law and Kirchhoff’s Law for its solution.
A communication system uses 10 km fibre having a loss of 2.3 D/Km. Calculate the output power if input power is 400 micro watt
