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Mira and her twin sister Joy have a combined mass of 250.0 kg and are zooming along in a 150.0 kg amusement park bumper car at 15.0 m/s. They bump Miguel`s car, which is sitting still. Miguel has a mass of 45.0 kg. After the elastic collision, the twins continue ahead with a speed of 6.12 m/s. How fast is Miguel`s car bumped across the floor?
A lift, mass 250 kg, is initially at rest on the ground floor of a tall building. Passengers with an unknown total mass, m, climb into the lift. The lift accelerates upwards at 1.6 m/s−2. The cable supporting the lift exerts a constant upward force of 7700 N. Use g = 10 m/s−2.
1. Draw a labeled force diagram indicating all the forces acting on the lift while it accelerates upwards.
2. What is the maximum mass, m, of the passengers the lift can carry in order to achieve a constant upward acceleration of 1.6 m/s−2.
1. Illustrate the stress and strain of solids.
2. What do you mean by the Young’s modulus for steel is 𝒀 = 𝟐. 𝟎 × 𝟏𝟎𝟏𝟏 𝑵𝒎−𝟐 ? Explain briefly.
3. Gold has a face centered cubic unit cell and has the density 𝟏𝟗. 𝟑 𝒈 𝒄𝒎−𝟑 . Calculate the length along an edge. (𝐴𝑢 = 197 𝑔 𝑚𝑜𝑙 −1 )
4. Write down five real life applications of surface tension.
5. A capillary tube with an inside diameter of 𝟓𝟒𝟎 𝝁𝒎 can support a 𝟏𝟎𝟎 𝒎𝒎 column of liquid that has a density of 𝟏𝟑𝟓𝟎𝟎 𝒌𝒈𝒎−𝟑 . If 𝒉 = 𝟎. 𝟏 then is it possible to find the surface tension of the liquid? If not, then write down the reason.
6. Write a short note on polymer materials and amorphous solid.
A capillary tube with an inside diameter of 𝟓𝟒𝟎 𝝁𝒎 can support a 𝟏𝟎𝟎 𝒎𝒎 column of liquid that has a density of 𝟏𝟑𝟓𝟎𝟎 𝒌𝒈𝒎−𝟑 . If 𝒉 = 𝟎. 𝟏 then is it possible to find the surface tension of the liquid? If not, then write down the reason
A particle moves in a straight line such that its displacement, x meters, from a fixed point O
on the line at time t seconds is given by 𝑥 = 60[𝑒
−2𝑡 − 𝑒
−4𝑡
].
(a) Find the time when the particle is instantaneously at rest.
(b) Find the displacement of the particle from O when t = 4 s.
(c) Find the total distance travelled during the first 4 seconds of its motion.
A body is projected at an angle of 30° to the horizontal with a velocity of 150ms-1 . calculate the greatest height (g =10)
What will be the time required to half the amplitude of charge stored by a capacitor and time for the energy stored to be halved in a series LRC circuit with L=39mH, R=0.05 ohms and C=4.6uF?
How much work you need to lift a body of mass 215 kg a distance of 5.65 m using a machine with an efficiency of 72.5%
Gold has a face centered cubic unit cell and has the density 𝟏𝟗. 𝟑 𝒈 𝒄𝒎−𝟑. Calculate the length along an edge. (𝐴𝑢 = 197 𝑔 𝑚𝑜𝑙−1)
How much heat is needed to raise the temperature of 50.0 g of water from 4.5°C to 83.0°C
