Answer:
(a) 348.4 m
(b) 256.7 m/s
(c) 127.2 m/s^2
Explanation:
(a) at t = 4 s
x = 2.3 x 4 + 5.3 x 4 x 4 x 4
x = 348.4 m
(b) The derivative of displacement function gives the value of instantaneous velocity.
So, v = dx / dt = 2.3 + 5.3 x 3 x t^2
v = 2.3 + 15.9 t^2
Put t = 4 s
So, v = 2.3 + 15.9 x 4 x 4
v = 256.7 m/s
(c) The derivative of velocity function with respect to time gives the value of instantaneous acceleration.
So, a = dv / dt = 5.3 x 3 x 2 x t
a = 31.8 t
Put t = 4 s
a = 31.8 x 4 = 127.2 m/s^2
Answer:
The magnetic field strength due to current flowing in the wire is9.322 x 10⁻⁶ T.
Explanation:
Given;
electric current, I = 21.3 A
distance of the magnetic field from the wire, R = 45.7 cm = 0.457 m
The strength of the resulting magnetic field at the given distance is calculated as;
Where;
μ₀ is permeability of free space = 4π x 10⁻⁷ T.m/A
Therefore, the magnetic field strength due to current flowing in the wire is 9.322 x 10⁻⁶ T.
Inconsistent. You should take three readings at least.
sound travels through a medium in mechanical waves a mechanical wave is a disturbance that moves and transports energy from one place to another through a medium
Considering the volume of a rectangle, the volume of the tissue box is 3,239.1 cm³.
<h3>What is volume</h3>
Volume is a scalar-type metric quantity that is defined as the extension in three dimensions of a region of space. In other words, the volume corresponds to the space that the shape occupies.
<h3>Volume of a rectangle</h3>
To calculate the volume of a rectangle, it is necessary to multiply its 3 dimensions: length ×width×height. Volume is expressed in cubic units.
<h3>Volume of the tissue box</h3>
In this case, you know:
- Length: 11.8 cm
- Width: 12.2 cm
- Height: 22.5 cm
Replacing in the definition of volume of a rectangle:
Volume of the tissue box= length ×width×height
Volume of the tissue box= 11.8 cm× 12.2 cm× 22.5 cm
Solving:
<u><em>Volume of the tissue box= 3,239.1 cm³</em></u>
Finally, the volume of the tissue box is 3,239.1 cm³.
Learn more about volume:
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