Answer:
311,850 N
Explanation:
We can solve the problem by using Newton's second law:
where
F is the net force exerted on the object
m is the mass of the object
a is the acceleration
In this problem, we have
m = 27 kg is the mass
a = 11,550 m/s^2 is the acceleration
Solving for F, we find:
Answer:
2.25 %
Explanation:
65-95-99.7 is a rule to remember the precentages that lies around the mean.
at the range of mean () plus or minus one standard deviation (),
at the range of mean plus or minus two standard deviation,
at the range of mean plus or minus three standard deviation,
So, note that they are asking about the probability that it is greater than 0.32, that is the mean (0.3) plus two times the standard deviation (0.1) ()
So we know that the 95.5% is between and , hence approximately the 4.5% (100%-95.5%) is greater than 0.32 or less than 0.28. But half (4.5%/2=2.25%) is greater than 0.32 and the other half is less than 0.28.
So
Answer:
x = 58.86[mm]
Explanation:
This problem can be solved by means of Hooke's law which tells us that the force is equal to the product of the constant of the spring by the distance that is compressed or stretched. The following equation can be used.
where:
F = force or weight [N]
k = spring constant = 2*10⁵ [N/m]
x = distance compressed [m]
The weight can be calculated as the product of the mass by the gravity acceleration.
Now replacing in the Hook's law
Answer:
The final velocity is 31.86 m/s.
Explanation:
The final velocity can be found using the following equation:
Where:
is the final velocity =?
is the initial velocity = 33.9 m/s
a is the acceleration = -2.02 m/s²
t is the time = 1.01 s
Therefore, the final velocity is 31.86 m/s.
I hope it helps you!
Answer:
Upward: Negative
Downward: Positve
Explanation:
Let upward be positive
We want to find the work done on the object upwards.
The equation of work done due to gravity is
It is read as force of gravity times displacement times cos of the angle between the force and displacement.
Since gravity is happening down of the center of mass and the displacement is upwards, the angle is 180° so
Cosine of 180 is -1
so
If we go downwards, the sign will be positive because cos(0)=1