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A boy of mass 60kg jumps of a building of height 3.2m. Calculate the time and velocity with which he would fall to the ground. Also calculate the acceleration with which he would fall if his weight was reduced to how much he would have weighed if he was on the moon. (g = 10m/s2)
A man is required to pay 57500 pesos at the end of 15 days of 60000 pesos at the end of 60 days. Determine the rate of interest.
In a railway yard goods trains arrive that at the rate of 30 trains per day. Assuming
that the inter-arrival time follows an exponential distribution and the service time
distribution is also exponential with an average of 36 minutes, calculate the probability the yard is empty 2) the average length assuming that the line capacity of the yard is 9 trains
A hockey puck B rests in a smooth ice surface and is struck by a second puck A,
which was originally traveling at 40.0 m/s and is deflected 30.0° from its original
direction. The pucks have the same mass. (a) Compute the speed of each puck after
the collision. (b) What fraction of the original kinetic energy of puck A dissipates
during collision?
Let T
be a function from R
3
→R
3
defined by
T(x,y,z)=(x−y+2z,2x+y,−x−2y+2z)
(i)
(ii)
Show that T is a Linear Transformation
Find nullity of T
aqual and opposite charges a certain distance apart are called an electric "dipole*. A
positive test charge +q is placed as shown, equidistant from the two charges.
Q
O
Which diagram below gives the direction of the net force on the test charge? (B)
D)
16. A hydrogen nucleus, which has a charge , is situated to the left of a carbon nucleus, which has
a charge 6e. Which statement is true?
A) The elextrical force experienced by the hydrogen nucleus is to the right, and the magnitude
is equal to the
force exerted on the carbon nucleus.
B) The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude
is less than the force exerted on the carbon nucleus,
) The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude
is greater than the force exerted on the carbon nucleus.
D) The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude
is equal to the force exerted on the carbon nucleus.
If 190cmcube3 of hydrogen is collected at 26degree celcius and 736mmHg,calculate it volume at S.T.P (standard pressure is 760mmHg
What is the total impedance at 20kHz of a series circuit consisting of a 1.5mH inductance, a 100Ω resistance, and a 0.08μF capacitance?
Convert the following sentences into symbolic form. i) All planets revolves around sun in an elliptical orbit ii) No student who is intelligent will fail.
A ball is thrown making an angle of 30 degrees above the horizontal with a velocity of 20m/s from the top of a building 50m high. Calculate
(i) The time of flight (ii) The horizontal range. (iii) The velocity with which it hits the ground. (g= 10m/s²)
#339914 on Dec 2023