Homework Statement
A hoop with mass m= 10 kg, radius r=0.6 m, and moment of inertia I=mr^2 is rolling without slipping with a linear velocity of 8.5 m/s. What is the total kinetic energy (in J).
Homework Equations
K=1/2 m v^2
Kr=1/2 I ω^2
The Attempt at a Solution
The kinetic...
Homework Statement
A block with mass 4 kg and velocity of 3 m/s collides elastically with block B with mass 2 kg which is originally at rest. Find the velocities of the two blocks after the collision.Homework Equations
P= m * vThe Attempt at a Solution
This is the first time I try to solve an...
Well the final answer will be 400 J
Can I know why this is the proper way? Is it a special case for projectiles or something?
or the way I used is wrong in general?
Oh now I got it..
First
Ki= 0.5 m vi^2
Kf= 0.5 m vf^2
Ui= m g h
Uf= 0
******************
ΔK + ΔF = 0
which will end up
(v^2 - vo^2) + (-mgh) = 0
(v^2 - 400) + (-200) = 0
v^2= 200+400 = 600 m/s
Kf= 0.5 m v^2
Kf= 0.5 (1) (600) = 300 J
******************
Is my solution right?
Homework Statement
A 1kg mass is projected from the edge of a 20m tall building with a velocity of 20 m/s at some unknown angle above the horizontal. What is the kinetic energy (in J) of the mass just before it strikes the floor?
Homework Equations
K= 1/2 m v^{2}
The Attempt at a...
m1:
T - 0 = m1 a
m2:
m2g - T = m2 a
I need now to calculate acceleration first in order to get the value of the tension
T = m1 a
-T + m2g = m2 a
[m2g = a(m1+m2)]
50 = a(12+5)
a= 50/17 = 2.94 m/s^2
Now to calculate the tension
T= m1 a
T= 12 (2.94) = 35.3 N
My question is...
Homework Statement
Homework Equations
ƩF=0
ƩF= m a
The Attempt at a Solution
Since there is no friction do I assume the objects will move?
or it will remain equilibrium since m1 is 120N which is way higher than 50N.
Homework Statement
A ball is kicked with initial velocity 40 m/s at an angle of 37 degree above the horizontal. What is the time (in seconds) needed to reach the maximum height?
Homework Equations
Y-axis
h= Voy t - 0.5 g t^2
Vy= Voy - g t
Vy^2= Voy^2 - 2 g h
X-axis
d= Vox t
Vx=...
Homework Statement
Q: A stone is thrown vertically upwards with initial speed of 5 m/s from edge of a cliff 30 m high. Find the time needed for the stone to reach the ground (in seconds).
Homework Equations
1. (h= Vo t - 0.5 g t^2)
2. Quadratic equation:
The Attempt at a Solution...
I got it right now, but please check my steps if there is a mistake or not.
X=0.5 (V+Vo) t
800=0.5 (20+Vo) 25
800=12.5 (20+Vo)
Now since
12.5 (20+Vo) = 800
20 + Vo = 800/12.5
20 + Vo = 64
Vo = 64-20 = 44 m/s
Acceleration:
V= Vo + a (25)
20= 44 + a (25)
20-44= a (25)
-24= a (25)
a 25 = -24
a =...
X=0.5 (V+Vo) t
800= 0.5 (20+Vo) 25
800= 12.5 (20+Vo)
800= 250+Vo
Vo+250=800
Vo=800/250= 3.2 m/s.
Is that right? If so, can you help me to find out the acceleration?
I tried using this equation
V=Vo+a t
But it gives me a different answer which is wrong.
Here what I did
V=Vo+a t^2
20=3.2+ a...
Actually my instructor is horrible, he just gives the laws or equations with some simple information and moving on. I am self-studying this that is why I am facing difficulties.
Anyway, got to try to solve it later and post my solution.