Answer:
20.1 m
Explanation:
First, find the time it takes for the cannonball to travel the horizontal distance of 50.0 m.
Given (in the x direction):
Δx = 50.0 m
v₀ = 68 cos 25° m/s
a = 0 m/s²
Find: t
Δx = v₀ t + ½ at²
(50.0 m) = (68 cos 25° m/s) t + ½ (0 m/s²) t²
t = 0.811 s
Now find the vertical displacement after that time.
Given (in the y direction):
v₀ = 68 sin 25° m/s
a = -9.8 m/s²
t = 0.811 s
Find: Δy
Δy = v₀ t + ½ at²
Δy = (68 sin 25°) (0.811 s) + ½ (-9.8 m/s²) (0.811 s)²
Δy = 20.1 m
Answer:
When the spring in the ballistic pendulum is compressed, <em>energy is stored up in the spring as potential energy. </em>When the steel ball is launched by the spring, <em>the stored up potential energy of the compressed spring is transformed and transferred into the kinetic energy of the steel ball as it flies off to hit its target. </em>On hitting the soft target, <em>some of the kinetic energy of the steel ball is transferred to the soft target (since they stick together), and they both start to swing together</em>. During the process of swinging, the system's energy is transformed between kinetic and potential energy. <em>At the maximum displacement of the ball from its point of rest, all the energy is converted to potential energy of the system</em>. <em>At the lowest point of travel (at the rest point), all the energy of the system is transformed into kinetic energy. </em>In between these two points, <em>energy the energy of the system is a combination of both kinetic and potential energy.</em>
In the end, all the energy will be transformed and lost as heat to the surrounding; due to the air resistance around; bringing the system to a halt.
The speed of light, because light is made of photon's, and photon's have infinite mass which allows them to move so fast.
The sun will most likely illuminate Earth equally on both
poles during September and March. On these months, Earth will not be tilted
toward or away from the sun. This results to both poles receiving nearly the
same amount of light, which means that the length of days and nights are equal
all over Earth. This event is referred to as Equinoxes. During March, it is
called the Vernal Equinox, while during September, it is called the Autumnal
Equinox.
Using SUVAT (S is displacement, U is initial Velocity, V is final velocity, A is acceleration, t is time);
S = 80m
U = 0ms^-1
V = ?
A = 9.8ms^-2
T = XXX
Use S U and A to find V;
V^2=U^2+2AS
V^2=0+2*80*9.8
V^2=1568
V=39.6ms^-1