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.a block of wood of 1.5kg mass floats on water with 68 percent of its volume submerged. a lead block is placed on the wood and the wood is the fully submerged with the lead entirely out of the water. find the mass of the lead block?
A patient transport vehicle is running at a speed of 80 m/s. It is the decelerated at the rate of 10m/s. When will it stop?
A automobile starts from rest and is given a constant acceleration of 5 m/s². How long will it take before it attains a speed of 20 m/s?
A car running at a speed of 72 km/h is to be stopped in exactly 10 seconds. Find the uniform deceleration needed.
d) The unit–vector notation of the two vectors a = 4.0i + 3.0j and b = −13.0i + 7.0j. Determine
the magnitude and direction of a + b [4mks
) A skater with mass m=68.5 kg moving initially at 2.4 m/s on rough horizontal ice, comes to
rest uniformly in 3.52 s due to the friction from the ice. What force does friction exert on
the skater? [4 mks]
b) The acceleration of a particle is given by a(t)=At – Bt2
, with A=1.5 m/s3
and B=1 m/s4
. The
particle is at rest at time t=0 at the origin.
i) Find its velocity as function of time [3 mks]
ii) Calculate vmax [3 mks]
c) Write the expression of the centripetal acceleration in an uniform circular motion in terms of
the period T, the time for one revolution
) The unit–vector notation of the two vectors a = 4.0i + 3.0j and b = −13.0i + 7.0j. Determine
the magnitude and direction of a + b [4mks]
A particle moves along a straight line with constant acceleration a=3 m/s2
. At t=0 the
position of the particle is x0=3 m and the particle is at rest (v0=0).
i) Find the position and the velocity of the particle at t=2 s [3 mks]
ii) Find the position of the particle when v=30 m/s [3 mks]
one pound of air at 15 psia, 300 f is heated at constant volume reversibly until its temperature becomes 600 F. Find P2,W,
A string with a length of 3 m has two adjacent resonances at frequencies 112 Hz and 140 Hz. Determine the speed of the waves on the string vibrating at 140 Hz.
