Answer:
VB = 19.9 [m/s]
Explanation:
In order to solve these problems, we must use the principle of energy conservation. Which tells us that the energy between two points after an instant of time must be equal. This is we have two points A & B, in point A is the highest point while Point B is the lowest
Now we need to identify the types of energy at each point.
For point A
At this point we have two energies, the kinetic energy since the roller coaster moves at a speed of 2 [m/s], in the same way there is potential energy since the roller coaster is 20 [m] above ground level.
For point B
At Point B we only have kinetic energy, since it is located at zero meters with respect to the ground. In this way we can determine the velocity at this point.
And the energy is expressed by means of the following expression:
[tex]E_{A}=E_{B}\\\frac{1}{2} *m*v_{A}^{2} +m*g*h_{A}=\frac{1}{2} *m*v_{B}^{2}[/tex]
where:
m = mass = 5 [kg]
VA = velocity of the roller coaster in point A = 2[m/s]
hA = elevation of the roller coaster = 20 [m]
vB = velocity of the roller coaster in point B [m/s]
Now replacing:
[tex]\frac{1}{2}*5*(2)^{2} +(5*9.81*20)=\frac{1}{2}*(5)*v_{B}^{2}\\991=2.5*v_{B}^{2}\\v_{B}x^{2} =991/2.5\\v_{B}=\sqrt{396.4} \\v_{B}=19.9[m/s][/tex]
I’m NC the wind is blowing from the north. If the wind changes direction and begins to blow from the south, what will most likely result.
NC means North Carolina.
Answer:
The temperatures will increase.
Explanation:
What will happen is that the temperature will increase. This is because, in wind direction and weather forecasting, a wind that shifts from the south means that warmer air/temperatures are approaching whereas a wind shift from the north implies that cooler air/temperatures are approaching.
Radar tells an air traffic controller that a jet is slowing as it nears the
airport. Which might represent the jet's velocity?
A. 700 h/km
B. 700 km
C. 700 km/hr
D. 700 km/h west
Choice-D is the only velocity on the list.
(It has a speed and a direction.)
The jet's velocity might be represented by 700 km/h west. Hence, option (D) is correct.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
In this question, 700 h/km, 700 km have different unit that of velocity. So, option (A) and option (B) is not correct. . 700 km/hr has same unit that of velocity. But it does not has direction. So, option (C) is also incorrect. 700 km/h west has the same unit of velocity with define direction. So, option (D) is correct.
Hence option (D) is correct answer.
Learn more about velocity here:
https://brainly.com/question/18084516
#SPJ6
A wagon, initially traveling at a constant 8.2 m/s, starts going down a hill that creates an acceleration of 9.0 m/s2. What is the wagon's velocity 6.6 s after it starts accelerating down the hill?
Answer:
67.6m/s
Explanation:
Given parameters:
Initial velocity = 8.2m/s
Acceleration = 9.0m/s²
Time = 6.6s
Unknown:
Final velocity = ?
Solution:
To solve this problem, we use the expression below:
Acceleration = [tex]\frac{v - u }{t}[/tex]
v is the final velocity
u is the initial velocity
t is the time taken
9 = [tex]\frac{v - 8.2}{6.6}[/tex]
v - 8.2 = 59.4
v = 59.4 + 8.2 = 67.6m/s
The common version of Newton’s second law of motion, EF= ma, is actually a special case that is true only when an objects _____ is constant.
-Mass
-Momentum
-Force
-Velocity
Answer:
A
Explanation:
only is true when the objects mass is constant
Answer:
A.
Explanation:
When the mass is constant. Newton's second law will work perfectly.
Fun fact you probably won't need to know this, but the original formula that Newton derived was F=change in momentum divided by change in time. Momentum will account for a change in mass. The schooling system lies to you all the time especially in physics.
Help!! ASAP plz
Determine the mass of the object below to the correct degree of precision.
358.3g
358.20g
358.30g
358.2g
An airplane accelerates from a speed of 88m/s to a speed of 132 m/s during a 15 second time interval. How far did the airplane travel during the time interval?
Answer:
[tex]1650\:\mathrm{m}[/tex]
Explanation:
We can use the following kinematics equations to solve this problem:
[tex]v_f=v_i+at,\\{v_f}^2={v_i}^2+2a\Delta x[/tex].
Using the first one to solve for acceleration:
[tex]132=88+a(15),\\15a=44,\\a=\frac{44}{15}=2.9\bar{3}\:\mathrm{m/s^2}[/tex].
Now we can use the second equation to solve for the distance travelled by the airplane:
[tex]132^2=88^2+2\cdot2.9\bar{3}\cdot \Delta x,\\\Delta x= \frac{9680}{2\cdot2.9\bar{3}},\\\Delta x =\fbox{$ 1650\:\mathrm{m}$}[/tex](three significant figures).
A rectangle box was measured with a length of 4cm, width 2cm, and height 2cm. What is the volume of the box?
Answer:
volume is 64
Explanation:
2×2×4×4
=64
Answer:
[tex]V = 16\ cm^3[/tex]
Explanation:
The Volume of a Rectangular Prism
A rectangular prism is also called a rectangular box and has three dimensions all perpendicular to each other.
Given a rectangular prism of length L, width W, and height H, the volume is calculated as:
V = WLH
We are given the dimensions of a rectangular box: L= 4 cm, W = 2 cm, H = 2 cm. Computing the volume:
V = 2 cm * 4 cm * 2 cm
[tex]\mathbf{V = 16\ cm^3}[/tex]
A negative charge of -0.00067 C and a positive charge of 0.00096 C are separated by 0.7 m. What is the force between the two charges?
Answer:
-11,813.87N
Explanation:
According to coulombs law, the Force between the two charges is expressed as;
F = kq1q2/d²
k is the coulombs constant = 9*10⁹kg⋅m³⋅s⁻²⋅C⁻².
q1 = -0.00067 C
q2 = 0.00096 C
d = 0.7m
Substitute into the formula:
F = 9*10^9 * -0.00067 * 0.00096/0.7²
F = 9*10⁹*-6.7*10⁻⁴*9.6*10⁻⁴/0.49
F = -578.88*10⁹⁻⁸/0.49
F = -578.88*10/0.49
F = -5788.8/0.49
F = -11,813.87N
Hence the force between the two charges is -11,813.87N
A 2 kg marble moving at 4 mi./s collides into a 1 kg marble at rest. After collision, the 2 kg marble speed decreased to 2 mi./s. Calculate the velocity and speed of the 1 kg marble immediately after colliding.
Please show work and please help me as fast as possible because this is time
Please help as soon as possible please
Please I’m begging
Answer:
[tex]2\sqrt{6}[/tex] [tex]\frac{mi}{s}[/tex]
Explanation:
Assuming there is no waste of energy:
[tex]K_{1} = K_{2}\\\frac{1}{2}m_{1}v_{1_{1}}^{2} + \frac{1}{2}m_{2}v_{2_{1}}^2 = \frac{1}{2}m_{1}v_{1_{2}}^{2} + \frac{1}{2}m_{2}v_{2_{2}}^2\\\\=> m_{1}v_{1_{1}}^{2} + m_{2}v_{2_{1}}^2 = m_{1}v_{1_{2}}^{2} + m_{2}v_{2_{2}}^2\\\\m_{1} = 2 kg, m_{2} = 1 kg, v_{1_{1}} = 4 \frac{mi}{s} , v_{2_{1}} = 0\\=> 32 = 8 + v_{2_{2}}^{2} => v_{2_{2}} = 2\sqrt{6} \frac{mi}{s}[/tex]
Please help me
27. A 20 kg object is at rest. A 6 N force pulls to the right on
the object for 10 seconds.
A) Find the impulse on the object.
B) Find the final momentum of the object.
C) What is its final velocity?
Answer:
a. 60 N*s
b. 60 (kg*m)/s
c. 3 m/s
Explanation:
Givens:
m = 20 kg
v_i = 0 m/s
t = 10 s
F = 6 N
a) Impulse:
I = F*t
I = 6 N*10 s
I = 60 N*s
b) Momentum:
p = v*m
F = m(a)
a = F/m
a = 6 N/20 kg
a = 0.3m/s^2
a = (v_f -v_i)/t
v_f = (0.3 m/s^2)*10 s
v_f = 3.0 m/s
p = 3 m/s*20 kg
p = 60 (kg*m)/s
c. Final velocity
a = (v_f -v_i)/t
v_f = (0.3 m/s^2)*10 s
v_f = 3.0 m/s
The impulse, momentum and final velocity can all be obtained from Newton's second law.
Let us recall that the impulse is obtained as the product of force and time.
Impulse = Force × time
Impulse = 6 N × 10 s = 60 Ns
From Newton's second law of motion;
F.t = mv - mu
Since the object was initially at rest;
F.t = mv
Hence, the final velocity of the object is 60 Kgms-1
The final velocity is obtained from;
F.t = mv
v = F.t/m
v = 6 × 10/20
v = 3 m/s
Learn more about impulse and momentum: https://brainly.com/question/904448
Indiana Jones is being chased over the rooftops of Marseilles by some random villain. He looks ahead and sees that there is a 7 meter gap between this rooftop, which is 25 meters above the ground, and the next, which is 19 meters above the ground. He gathers up all his strength and runs and leaps from the higher roof to the lower. How fast must he run so he doesn't go plummeting into the street below? *
5 points
Answer:
30 mph
Explanation: