Work= force (N) x distance (m)
F= mass (kg) x acceleration (gravity; m/s^2)
for this question, your formula would be
Work= mass (kg) x acceleration (gravity) x distance (m)
a. F=20kg x 9.81 m/s^2 x6 m = 1177.2 J
b. F=25kg x 9.81 m/s^2 x3 m = 735.75 J
c. F=25kg x 9.81 m/s^2 x6 m = 1471.5 J
d. F=50kg x 9.81 m/s^2 x1 m = 490.5 J
Tip:
- If this was a timed test, you could save some time by just multiplying the mass (kg) in the question by the distance because 9.81 is a constant in the formula, you can ignore it (+you're not asked for the final answer). c would still be the largest number
- it would also help if you noticed:
- the distance in c is half that of b but the mass is the same. eliminate b because c is obviously bigger
- a and c have the same distance but 25 is greater than 20; eliminate a
You use the equation wavelength= 4 x length of pipe/ number of the harmonic so your wavelength is 1.45.
If the object is at equalibirium, then the force is balanced. '<em>Balanced</em>' is the key word that is used to describe equilibrium situations. If the object has a zero net force, the acceleration is 0 m/s/s. Objects at equilibrium should have an acceleration of 0 m/s/s.
Answer:
The correct answer is B)
Explanation:
When a wheel rotates without sliding, the straight-line distance covered by the wheel's center-of-mass is exactly equal to the rotational distance covered by a point on the edge of the wheel. So given that the distances and times are same, the translational speed of the center of the wheel amounts to or becomes the same as the rotational speed of a point on the edge of the wheel.
The formula for calculating the velocity of a point on the edge of the wheel is given as
= 2π r / T
Where
π is Pi which mathematically is approximately 3.14159
T is period of time
Vr is Velocity of the point on the edge of the wheel
The answer is left in Meters/Seconds so we will work with our information as is given in the question.
Vr = (2 x 3.14159 x 1.94m)/2.26
Vr = 12.1893692/2.26
Vr = 5.39352619469
Which is approximately 5.39
Cheers!
Answer:
Acceleration,
Explanation:
Initial velocity of a particle in vector form, u = (-5i - 2j) m/s
Final velocity of particle in vector form, v = (-6i + 7j) m/s
Time taken, t = 8 seconds
We need to find the magnitude of acceleration vector. The changing of velocity w.r.t time is called acceleration of a particle. It is given by :
or
Hence, the value of acceleration vector is solved.