A 56-kg diver jumps off the end of a 7.5-m platform with an initial horizontal speed of
3.6 m/s.
a) Determine the diver’s total mechanical energy at the end of the platform relative to the surface of the water in the pool below.
b) Apply the law of conservation of energy to determine the diver’s speed at a height of 2.8 m above the water.
c) Repeat (b) to find the maximum speed of the diver upon reaching the water.
In an extreme test of its braking system under ideal road conditions, a Toyota Celica, travelling initially at 26.9 m/s [S], comes to a stop in 2.61 s. The mass of the car with the driver is 1.18 × 103 kg. Calculate :
(a) the car’s acceleration
(b) the net force required to cause that acceleration
A skier starting from rest accelerates uniformly downhill at 1.8 m/s2 [fwd].
How long will it take the skier to reach a point 95 m [fwd] from the starting position?
A plane travelling at 52 m/s [W] down a runway begins accelerating uniformly at 2.8 m/s2 [W].
(a) What is the plane’s velocity after 5.0 s?
(b) How far has it travelled during this 5.0 s interval?
Find the total electrostatic energy of a uniformly charged sphere of total charge q and radius R
A school principle claims that the students in his school are above average intelligence. A random sample of 30 studets IQ scores have mean of 112.5.Is there sufficient evidence to support the principals claim?The mean population IQ is 100 with standard deviation of 1.5
For the transmission line per unit length parameters are 0.1 Ω/m, 0.2 μH/m, 10 pF/m and 0.02
℧/m. Find the complex propagation constant at a) 1 MHz b) 1 GHz
(Hint. γ = (𝑅 + 𝑗ω𝐿) × (𝐺 + 𝑗ω𝐶) )
Mark bought a pizza of a radius nof 0.5m. a fly land on the pizza band walks around the edge at a distance of 80 cm.calculate the angular displacement ot the fly?
Draw free diagram of the pizza
A 200-gram ball, m1 and a 100-gram ball, m2, connected by a rod with length of
60 cm. Ignore rod’s mass. The axis of rotation located at ball m2. What is the
moment of inertia of the balls? Ignore rod’s mass
A system consisting of a mass of one gram fixed to a spring which is stretched by 1 cm. by a force of 10000 dynes, the particle being constrained to move only along the x axis. What will be the zero-point energy?