Answer:
Explanation:
1 ) the volume of helium in the balloon when fully inflated
= 4/3 π R³
= 4/3 x 3.14 x 5.3³
= 623.3 m³
2 ) force of gravity on the entire system ,but with no people
= (mass of the empty balloon and basket + mass of helium )x g
=( 129 + 623.3 x.18 )x 9.8
= 2363.7 N
3 ) magnitude of the buoyant force on the entire system (but with no people )
( Volume of empty balloon + basket + volume of helium ) density of air x g
( 0.057 + 623.3 ) x 1.23 x 9.8
= 7513.94 N
4 ) magnitude of the force of gravity on each person
Mass of each person x g
= 71 x 9.8
= 695.8 N
Coke has more fizz than Pepsi, because Coke has more carbonation in it. Pepsi contains more sugar (2 more tablespoons) than Coke, so it tastes slightly sweeter to many people.
Answer:
Explanation:
Let the velocity after the 4 gram pencil strikes is v .
kinetic energy of the combination = 1/2 m v²
= .5 x ( 4 + 221 ) x 10⁻³ x v² = work done by friction
friction force acting on the combination = 225 x10⁻³x .325 x 9.8 = .7166 N
work done by friction
= .7166 x .119 = .085 J
.5 x 225 x 10⁻³ v² = .085
v² = .085 / .1125 = .7555
v = .8692 m = 86.92 cm /s
Velocity of combination after collision = 86.92 cm /s
Let velocity of pencil before collision be V
Applying law of conservation of momentum at the time of collision ,
4 x V = 225 x 86.92
V = 4889.25 cm / s
= 48.9 m /s .
The potential energy of the object is 78.4 J
Explanation:
The gravitational potential energy (GPE) of an object is the energy possessed by the object due to its position in a gravitational field.
For an object near the Earth's surface, the GPE is given by:
where
m is the mass of the object
is the acceleration of gravity near the Earth's surface
h is the height of the object relative to the surface
For the object in this problem,
m = 2 kg
h = 4 m
Substituting, we find its GPE:
Learn more about potential energy:
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Answer:
0.48 N/cm
Explanation:
The original length is 10cm so with a force of 10cm, the extension will be 12.2-10=2.2 cm when force of 1N is exerted. Similarly, with a force of 3N, the extension is 16.4-10=6.4cm
The slope will be given by change in force/ change in extension and this is equivalent to the stiffness.
Change in force is 3-1=2 N
Change in exgension is 6.4-2.2=4.2 cm
The slope will be 2/4.2=0.4761904761904 N/cm
Rounded off, the slope is 0.48 N/cm and this is the stiffness of the spring.
