Your friend is bragging about his motorcycle. He claims that it can go from a stopped position to 50 miles per hour in three sec
2 answers:
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Answer:
1) The hoop and a solid disc rolling without slipping down an incline plane.
Their final velocities are proportional to their moment of inertia.
The condition for moment of inertia: v = ωR
We will use conservation of energy.
<u>For the hoop:</u>
They are released from rest, so their initial kinetic energy is zero. And when they reach the bottom, their final potential energy is also zero.
The moment of inertia of a hoop is
Let's continue with the energy equations:
Similarly <u>for the solid disk</u> with a moment of inertia of (1/2)mR^2:
Comparing the final velocities, we can conclude that the solid disk reaches the bottom first.
2) The angular acceleration of the pebble is equal to the angular acceleration of the tire, since they stuck together. We can deduce the angular acceleration of the tire from the linear acceleration of the bicycle.
The kinematics equations states that
where a is the linear acceleration.
The relation with the angular and linear acceleration is
where R is the radius of the tire. Since it is not given in the question, we will leave it as R.
The angular acceleration of the small pebble is
Answer:
length of the ladder is 13.47 feet
base of wall to latter distance 6.10 feet
angle between ladder and the wall is 26.95°
Explanation:
given data
height h = 12 feet
angle 63°
to find out
length of the ladder ( L) and length of wall to ladder ( A) and angle between ladder and the wall
solution
we consider here angle between base of wall and floor is right angle
we apply here trigonometry rule that is
sin63 = h/L
put here value
L = 12 / sin63
L = 13.47
so length of the ladder is 13.47 feet
and
we can say
tan 63 = h / A
put here value
A = 12 / tan63
A = 6.10
so base of wall to latter distance 6.10 feet
and
we say here
tanθ = 6.10 / 12
θ = 26.95°
so angle between ladder and the wall is 26.95°
Answer:
V = 49.05 [m/s]
Explanation:
We can easily find the result using kinematics equations, first, we will find the distance traveled during the 5 seconds.
where:
Yo = initial position = 0
y = final position [m]
Vo = initial velocity = 0
t = time = 5 [s]
g = gravity aceleration = 9.81 [m/s^2]
The initial speed is zero, as the body drops without imparting an initial speed. Therefore:
y = 0 + (0*5) + (0.5*9.81*5^2)
y = 122.625[m]
Now using the following equation we can find the speed it reaches during the 5 seconds.