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Arlene is stationary relative to the ground. Aiza is riding toward A rlene on her e-bike 5 m/s relative to the ground. Aiza throws a water balloon forward at 3 m/s relative to the e-bike. With what speed does it strike Arlene? (Solution)
(i)A steel cable, in a crane, is used to lift a mass 55000 kg, if the
maximum upward acceleration of the load is 1.5 m/s2 , calculate the
minimum radius required in millimeters of the cable.
Assume a safety factor of 7.0
(ii)A steel cable is under tension from a load it is supporting, what
Condition must be fulfilled for it to break? [
(iii) Why are steel rebars used in concrete structures?
(iv)List three different types of stresses that can a cause material to break.
A planet with a mass of 5.86x1024kg and a radius of 6.87x106m orbits its sun, a distance of 144.87x109m away, in a uniform circular motion with velocity 3.37x104m/s. Assuming the planet is a uniform solid sphere spinning on its axis and has the same length of day as Earth, what is the spin angular momentum of this planet (in kg⋅m2/s)?
The fan of a CPU starts decelerating at a constant rate from an angular speed of 897 rpm. The fan has undergone 1856 revolutions before it comes to rest. How long (in s) did it take the CPU fan to stop rotating?
The wheel of a bicycle is rotating from rest at a constant rate of 1.86 rad/s^2. How much is the increase in angular velocity (in rpm) every minute?
A series RC circuit has R=240 and C=102uF. It is connected in parallel to an inductor of 200mH and the combination is connected across a 220V, 60Hz source. Find the current in each branch.
Show that the thermal efficiency of the Carnot cycle in terms of the isentropic compression ratio 𝑟𝑘 is given by 𝑒 = 1 − (1 /(𝑟𝑘) 𝑘−1).
A Carnot engine operating between 900℉ and 90℉ produces 40,000 ft.lb of work. Determine (a) the heat supplied, (b) the change of entropy during heat rejection, (c) the thermal efficiency of the engine.
Gaseous nitrogen actuates a Carnot power cycle in which the respective volumes at the four corners of the cycle, starting at the beginning of the isothermal expansion, are 𝑉1 = 10.10 𝐿, 𝑉2 = 14.53 𝐿, 𝑉3 = 226.54 𝐿, 𝑉4 = 157.73 𝐿. The cycle receives 21.1 KJ of heat. Determine the work.
a child is bouncing on a trampoline, and they move upward with a speed pf 3.50m/s. what is the height they will reach?
