Answer:
Explanation:
The formula for force is:
If we rearrange the formula to solve for a (acceleration), the formula becomes
The force is 68 Newtons. Let's convert the units to make the problem easier later on. 1 N is equal to 1 kg*m/s², so the force of 68 N is equal to 68 kg*m/s².
The mass is 2 kilograms.
Substitute the values into the formula.
Divide. Note that the kilograms will cancel each other out (hence why we changed the units).
The acceleration is<u> </u><u>34 meters per second squared.</u>
Answer:
the angular acceleration of the car is 1.5 rad/s²
Explanation:
Given;
initial angular velocity, = 10 rad/s
final angular velocity, = 25 rad/s
time of motion, t = 10 s
The angular acceleration of the car is calculated as follows;
Therefore, the angular acceleration of the car is 1.5 rad/s²
Answer:it is known as (Ohm's law)
Explanation:
Explanation:
a) The rope obeys Hooke's law, so:
F = k Δx
The elastic energy in the rope is:
EE = ½ k Δx²
Or, in terms of F:
EE = ½ F Δx
Use trigonometry to find the stretched length.
cos 20° = 35 / x
x = 37.25
So the displacement is:
Δx = 37.25 − 24
Δx = 13.25
The elastic energy per rope is:
EE = ½ (3.7×10⁴ N) (13.25 m)
EE = 245,000 J
There's two ropes, so the total energy is:
2EE = 490,000 J
Rounded to one significant figure, the elastic energy is 5×10⁵ J.
b) The elastic energy in the ropes is converted to gravitational energy.
EE = PE = mgh
5×10⁵ J = (1.2×10³ kg) (9.8 m/s²) h
h = 42 m
Rounded to one significant figure, the height is 40 m. So the claim is not justified.
The frequency f of the AC source is determined as 0.446 Xc.
<h3>
Frequency of the AC source</h3>
The frequency of the AC source is calculated as follows;
Xc ≡ 1/2fC
where;
- Xc is the capacitive reactance
- f is frequency
- C is capacitance
fC = 2Xc
f = 2Xc / C
f = (2Xc)/4.48
f = 0.446 Xc
Thus, the frequency f of the AC source is determined as 0.446 Xc.
Learn more about frequency here: brainly.com/question/10728818
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