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A ball bearing of mass 180 g is hung on a thread in oil of density 800 kg m−3. Calculate the tension in the string if the density of the ball bearing is 8000 kg m−3.
4. A golf ball has a diameter of 4.27 cm.
(a) If a golf player hits the ball into a stream, what upthrust does it experience when it is completely submerged? (Assume density of water = 1000 kg m−3.)
(b) If the mass of the ball is 45 g, what is the resultant force on it when underwater?
(c) Referring to Newton’s laws of motion, explain what will happen to the submerged golf ball.
(a) in kg m−3?
(b) in g cm−3?
coaxially to each other are fixed on the wall so that they can rotate around point O (bigger pulley has 2r and the small one on the inside of the big one has radius r). Mass m3 = 3 (kg) is connected to the rope wound on a reel with radius r = 1 (m). Initially a constant force of
rest with an angular acceleration of
and maintains at
uniform speed when it reaches 4.45 m/s, as depicted in Figure 2.1.
Figure 2.1
(i)
Find the angular speed of the London Eye when it reaches the uniform
speed.
(2 marks)
(ii)
Calculate the angular displacement that the London Eye covers in
7.50 minutes ride starting from rest.
(5 marks)
(iii)
Determine the apparent force experienced by a 75.5 kg passenger in
the capsule at the highest point of the ride given that the London Eye is
rotating at uniform speed.
(4 marks)
A 2.00 kg block is pushed against a spring with negligible mass and stiffness k=400N/m, compressing it by 0.220 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 37o (see figure below).
A particle of mass m and charge q is entering a region of space with uniform magnetic field
B⃗ . The particle initial (entering) velocity ⃗v0
has both components parallel and
perpendicular to the magnetic field B⃗ .
a) Write the equation of motion (EOM) for the particle and its general solutions.
b) Use relevant octave script provided to solve and plot the position of the particle as a
function of time.
c) Describe the state of motion of the particle based on the plots in part b)
