Answer:
A) It takes the truck 8 s to catch the motorcycle.
B) The motorcycle has traveled 160 m in that time.
C) The velocity of the truck is 40 m/s at that time.
Explanation:
The equations of the position and velocity of an object moving in a straight line are as follows:
x = x0 +v0 · t + 1/2 · a · t²
v = v0 + a · t
Where:
x = position
x0 = initial position
v0 = initial velocity
t = time
a = acceleration
v = velocity at time t
(A) When the the truck catches the motorcycle, both have the same position. Notice that the motorcycle moves at constant speed so that a = 0:
x truck = x motorcycle
x0 +v0 · t + 1/2 · a · t² = x0 + v · t
Placing the origin of the frame of reference at the point where the truck starts, both have an initial position of 0. The initial velocity of the truck is 0. Then:
1/2 · a · t² = v · t
solving for t:
t = 2 v/a
t = 2 · 20 m/s/ 5 m/s²
t = 8 s
It takes the truck 8 s to catch the motorcycle.
(B) Using the equation of the position of the motorcycle, we can calculate the traveled distance in 8 s.
x = v · t
x = 20 m/s · 8 s
x = 160 m
(C) Now, we use the velocity equation at time 8 s.
v = v0 + a · t
v = 0 m/s + 5 m/s² · 8 s
v = 40 m/s
Answer:
one that acts in the direction of the acceleration is the static friction force. The ... Express fs,max in terms of Fn in the x ... ma. FF = − g n. Fn − w = may = 0 or, because ay = 0 and Fg = mg, mg. F = n.
Answer: E) Acceleration, net force
Explanation: In order to explain this problem we have to consirer that the uniform circulat motion has constant angular velocity (ω) and the vector velocity is changed its direction for any point that cover the circle but its modulus is contant and its value is v=ω*R. In order to ensure these conditions, the net force also the accelaration called centripetal must point to the center of the circular trajectory.
Answer:
0.0804 m / h
Explanation:
r = 1 m, dr / dt = 8 cm/h = 0.08 m/h
the volume of sphere is given by
V = 4/3 x π x r^3
Differentiate with respect to r.
dV / dr = 4 / 3 x π x 3 r^2 x dr/dt
dV/dt = 4 x π x r^2 x dr/dt
dV/dt = 4 x 3.14 x 1 x 1 x 0.08
dv/dt = 0.0804 m / h
Answer:
The distinction can be understood by their individual definitions given below.
Explanation:
A meteoroid is a small rocky/metallic body that can be found in outer space (space beyond the Earth's atmosphere). Their sizes are much smaller than asteroids (often called planetoids) and even more smaller than that of any planets or their moons. They generally originate from comets, asteroids (fragments of them) and even from planets or moons when there occurs heavy collisions.
A meteor is basically what we know to be "shooting stars". When a meteoroid, asteroid, etc. passes through the Earth's atmosphere, they heat up and begin to glow because of the frictional force experienced due to gas molecules in the atmosphere. But the important thing is that they do not reach the surface of the Earth as they completely burn out long before coming close. If some object does manage to reach the Earth's surface, we then call it a meteorite.
(These definitions are not restricted to the Earth but applies to all panets <em>and </em>moons.)
(Also check the gif provided here: https://en.wikipedia.org/wiki/Meteoroid)
