given:
mass = 5000 kg
u (initial velocity) = 0 m/s
v (final velocity) = 70 m/s
time taken to change velocity = 3600 s
acceleration = v - u / t
a = 70 - 0 / 3600
a = 70 / 3600
a = 0.0194 m/s2 (approx)
given: mass = 5000 kg
acceleration = 0.0194 (found in 1st part)
force = mass * acceleration
f = ma
f = 5000*0.0194 = 97 N
therefore the acceleration will be 0.0194 m/s2
and the force involved in acceleration will be 97 N
Answer:
Explanation:
Exact numbers are those numbers which are known with 100% certainty or accuracy . Numbers having decimal are generally not exact because they are a part of long drawn decimal number after rounding off to certain places after decimal.
On the basis of this definition we can say as follows
speed of light is 2.99792 ×108 . Here the number quoted is not an exact number because it is a rounded off figure of speed of light to five digits after decimal .
Similarly density of mercury too is rounded off to two digits after decimal
so it is also not a exact number.
There are 3600 s in 1 h . Here 3600 s is an exact number because one hour has been defined as 3600 s . It is not measured by any instrument.
In 2003, the United States had 50 states. Here 50 is an exact number .
Gravitational potential energy = (mass) x (gravity) x (height)
-- For the ball: PE = (2) x (9.8) x (2.2) = 43.12 joules
-- For the bullet: PE = (0.15) x (9.8) x (74) = 108.78 joules
Relative to the ground, <em>the bullet has more</em> gravitational potential energy than
the ball has, because it is 33.6 times as high off the ground as the ball is.
Where it got all of that gravitational potential energy is either somebody
carried it up a bunch of stairs from the ground to the height of 74 meters,
or else the charge of gunpowder in the shell exploded, releasing a bunch
of chemical energy, and flinging the bullet up to that great height.
Answer:
W = 9533.09 Watt
Explanation:
given,
diameter of pipe inlet, d₁ = 10 cm
r₁ = 5 cm
diameter of pipe outlet, d₂ = 15 cm
r₂= 7.5 cm
head upto water level is to rise = 60 + 5
= 65 m
flow rate = 0.015 m³/s
we know
A₁ v₁ = A₂ v₂ = Q
π r₁² v₁ = π r₂² v₂ = 0.015


v₂ = 0.848 m/s
v₁ = 1.908 m/s
Applying Bernoulli's equation
P_p is the pump pressure
Power of the pump
W = P_p x Q
W = 635539.32 x 0.015
W = 9533.09 Watt