Answer:
Velocity is 1.73 m/s along 54.65° south of east.
Explanation:
Let unknown velocity be v, mass of billiard ball be m and east direction be positive x axis.
Here momentum is conserved.
Initial momentum = Final momentum
Initial momentum = m x 2i + m x (-1)i = m i
Final momentum = m x v + m x 1.41 j = mv + 1.41 m j
Comparing
mi = mv + 1.41 m j
v = i - 1.41 j
Magnitude of velocity
Direction,
Velocity is 1.73 m/s along 54.65° south of east.
Hi there!
We can use the rotational equivalent of Newton's Second Law:
![\huge\boxed{\Sigma \tau = I \alpha}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5CSigma%20%5Ctau%20%3D%20I%20%5Calpha%7D)
Στ = Net Torque (Nm)
I = Moment of inertia (kgm²)
α = Angular acceleration (rad/sec²)
We can plug in the given values to solve.
![\Sigma \tau = (4 * 10^{-5})(150) = \boxed{0.006 Nm}](https://tex.z-dn.net/?f=%5CSigma%20%5Ctau%20%3D%20%284%20%2A%2010%5E%7B-5%7D%29%28150%29%20%3D%20%5Cboxed%7B0.006%20Nm%7D)
Average force applied by the call on the glove = 780 N
Explanation:
mass of baseball=0.140 kg
initial velocity = Vi= 35 m/s
Final velocity=Vf= 0
distance traveled=11 cm= 0.11 m
using the kinematic equation Vf²= Vi²+ 2 a d
where a = acceleration
0²= 35²+ 2 a (0.11)
a=-5568.2 m/s²
Now force is given by F= ma
F= 0.140 (5568.2)
F=-780 N
The negative sign signifies that the force acts in the opposite direction.
so the average force= 780 N
The answer is 0.245N.
<h3>What is kinetic energy?</h3>
- A particle or an item that is in motion has a sort of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force.
- Kinetic energy comes in five forms: radiant, thermal, acoustic, electrical, and mechanical.
- The energy of a body in motion, or kinetic energy (KE), is essentially the energy of all moving objects. Along with potential energy, which is the stored energy present in objects at rest, it is one of the two primary types of energy.
- Explain that a moving object's mass and speed are two factors that impact the amount of kinetic energy it will possess.
(b) 0.100
For the block on the left, ![f_{k} =u_{k} n= 0.100(2.45N)=0.245N.](https://tex.z-dn.net/?f=f_%7Bk%7D%20%3Du_%7Bk%7D%20n%3D%200.100%282.45N%29%3D0.245N.)
∑
=![ma_{x}](https://tex.z-dn.net/?f=ma_%7Bx%7D)
–0.308N+0.245N=(0.250kg)a
a=−0.252
if the force of static friction is not too large.
For the block on the right,
=
=0.490N. The maximum force of static friction would be larger, so no motion would begin, and the acceleration is zero
To learn more about kinetic energy, refer to:
brainly.com/question/25959744
#SPJ4
Step 1: Look in your book or online for the conical pendulum equation.
Step 2: Look at the drawing and see which angle is involved in the equation.
Answer: It's Angle #2 in your drawing.