Answer:
C
Explanation:
Magnitude of any quantity is the measurable value of the quantity. While the direction of the given quantity is the specific pointing direction of position or the angle at which it move.
The magnitude of the vector described below? 13 m/s to the east will be 13 m/s
While the direction will be eastward.
Therefore, the magnitude is 13 m/s
The correct answer is option C
Answer:
False
Explanation:
The torque exerted by a force is given by:

where
F is the magnitude of the force
d is the distance between the point of application of the force and the pivot
is the angle between the directions of F and d
We see that the magnitude of the torque depends on 3 factors. In this problem, we have 2 forces of equal magnitude (so, equal F). Moreover, one of the forces (let's call it force 1) acts farther from the pivot than force 2, so we have

However, this does not mean that force 1 produces a greater torque. In fact, it also depends on the angle at which the force is applied. For instance, if the first force is applied parallel to d, then we have

and the torque produced by this force would be zero.
So, the statement is false.
Answer:
T = T
Explanation:
Time period of a simple pendulum is not affected by the mass of the bob. As we know,
. There is no factor of mass affecting when we derived the equation. The basic reason behind the time period is not affected is because of mass dependence on angular acceleration. As the mass increases the acceleration increase and the Time Period remains constant.
Answer:
The kinetic energy of the merry-goround after 3.62 s is 544J
Explanation:
Given :
Weight w = 745 N
Radius r = 1.45 m
Force = 56.3 N
To Find:
The kinetic energy of the merry-go round after 3.62 = ?
Solution:
Step 1: Finding the Mass of merry-go-round


m = 76.02 kg
Step 2: Finding the Moment of Inertia of solid cylinder
Moment of Inertia of solid cylinder I =
Substituting the values
Moment of Inertia of solid cylinder I
=>
=> 
=> 
Step 3: Finding the Torque applied T
Torque applied T =
Substituting the values
T = 
T = 81.635 N.m
Step 4: Finding the Angular acceleration
Angular acceleration ,
Substituting the values,


Step 4: Finding the Final angular velocity
Final angular velocity ,
Substituting the values,


Now KE (100% rotational) after 3.62s is:
KE = 
KE =
KE = 544J
Answer:

Becuase 
So then we can conclude that:

And that makes sense since the force
needs to accelerate the two masses and
just need to accelerate
.
So the best option for this case would be:
a. T1 > T2
See explanation below.
Explanation:
For this case we consider the system as shown on the figure attached.
Since the system is connected the acceleration for both masses are equal, that is 
From the second Law of Newthon we have that the force applied for the mass
is
and we know that the force acting on the x axis for the mass 2 is
so then we have that 
Now when we consider the system of
as a whole mass, this system have the same acceleration
and on this case we will see that the only force acting on the entire system would be
and then by the second law of Newton we have that:

And then if we compare
and
we see that :

Becuase 
So then we can conclude that:

And that makes sense since the force
needs to accelerate the two masses and
just need to accelerate
.
So the best option for this case would be:
a. T1 > T2