Answer:
the work required for the loading of second dart is 64 times greater as work required for loading the first dart.
Explanation:
k = spring constant of the spring loaded toy dart gun
x₁ = compression of spring to load the first dart = d
x₂ = compression of spring to load the second dart = 8 d
E₁ = Work required to load the first dart
E₂ = Work required to load the second dart
Work required to load the first dart is given as
E₁ = (0.5) k x₁² = (0.5) k d²
Work required to load the second dart is given as
E₂ = (0.5) k x₂² = (0.5) k (8d)² = (64) (0.5) k d²
E₂ = 64 E₁
So the work required for the loading of second dart is 64 times greater as work required for loading the first dart
Answer:
aquarium vs the value of both obstacles
Answer:
a) 
= 4.67m/s
b) V = 8.29 m/s
Explanation:
Givens:
The bullet is 5.30g moving at 963m/s and its speed reduced to 426m/s. The wooden block is 610g.
a) From conservation of linear momentum
Pi = Pf
where 
are the mass and the initial velocity of the bullet, 
and 
are the mass and the initial velocity of the wooden block, and and 
are the final velocities of the wooden block and the bullet
The wooden block is initial at rest 
this yields
By solving for adn substitute the givens
= 
= 
= 4.67m/s
b) The center of mass speed is defined as
substituting:
V = 8.29 m/s
Answer:
5.A mid-ocean ridge or mid-oceanic ridge is an underwater mountain range, formed by plate tectonics. This uplifting of the ocean floor occurs when convection currents rise in the mantle beneath the oceanic crust and create magma where two tectonic plates meet at a divergent boundary.
6.The Nazca plate is an oceanic plate, while the South American plate is continental. The fast moving Nazca plate is moving east towards the South American plate at a downward angle and converging. This process is called subduction, resulting in frequent earthquakes & production of the Andes Mountains.
7.The Nazca plate forms the southeastern part of the Pacific plate. The Nazca and the Pacific plate share both divergent and transform type of plate boundary. The Pacific and the Nazca plate are separating at an increasing rate of about 122-142mm/year.
8.Convection currents in the mantle and in the ocean are similar because they both are responsible for the shaping the Earth's surface. Two forces are behind the movement of Earth's huge land masses. Due to combined action of convection currents and gravity, Earth's plates are in constant motion.
Explanation:
Answer:
b) 472HZ, 408HZ
Explanation:
To find the frequencies perceived when the bus approaches and the train departs, you use the Doppler's effect formula for both cases:
fo: frequency of the source = 440Hz
vs: speed of sound = 343m/s
vo: speed of the observer = 0m/s (at rest)
v: sped of the train
f: frequency perceived when the train leaves us.
f': frequency when the train is getTing closer.
Thus, by doing f and f' the subjects of the formulas and replacing the values of v, vo, vs and fo you obtain:
hence, the frequencies for before and after tha train has past are
b) 472HZ, 408HZ
