Answer:
The minimum distance has to be 15ft
Explanation:
Since car A is behind, I am fixing the origin in that point.
Now, let's calculate the position, for both cars at the end of everything, measured from the origin.
I am using this formula for ![t_{Max}=\frac{V_{f}-V_{o}}{a} =\frac{-V_{o}}{a}](https://tex.z-dn.net/?f=t_%7BMax%7D%3D%5Cfrac%7BV_%7Bf%7D-V_%7Bo%7D%7D%7Ba%7D%20%3D%5Cfrac%7B-V_%7Bo%7D%7D%7Ba%7D)
For car A:
![t_{aMax}=4s](https://tex.z-dn.net/?f=t_%7BaMax%7D%3D4s)
![d_{A}=d_{0.75} + V*t_{aMax}-\frac{a*t_{aMax}^{2}}{2}](https://tex.z-dn.net/?f=d_%7BA%7D%3Dd_%7B0.75%7D%20%2B%20V%2At_%7BaMax%7D-%5Cfrac%7Ba%2At_%7BaMax%7D%5E%7B2%7D%7D%7B2%7D)
And we also know that
, So:
![d_{A}=165ft](https://tex.z-dn.net/?f=d_%7BA%7D%3D165ft)
For car B:
![t_{bMax}=5s](https://tex.z-dn.net/?f=t_%7BbMax%7D%3D5s)
![d_{B}=d + V*t_{bMax}-\frac{a*t_{bMax}^{2}}{2}](https://tex.z-dn.net/?f=d_%7BB%7D%3Dd%20%2B%20V%2At_%7BbMax%7D-%5Cfrac%7Ba%2At_%7BbMax%7D%5E%7B2%7D%7D%7B2%7D)
Replacing the values we get:
![d_{B}=d+150ft](https://tex.z-dn.net/?f=d_%7BB%7D%3Dd%2B150ft)
To avoid a collision,
, so:
165 ≤ d + 150 If we solve for d: d ≥ 15ft
Answer:
B . 68.7 N
Explanation:
Given in the question that;
Force = 22 N
Mass = 7.0 kg
Velocity = 4.0 m/s
Gravitational force is the weight of wooden block , calculated as mass times acceleration due to gravity.
F= m* a
F= 7 * 9.81
F= 68.67 N
F= 68.7 N
Answer:
0.087976 Nm
Explanation:
The magnetic torque (τ) on a current-carrying loop in a magnetic field is given by;
τ = NIAB sinθ --------- (i)
Where;
N = number of turns of the loop
I = current in the loop
A = area of each of the turns
B = magnetic field
θ = angle the loop makes with the magnetic field
<em>From the question;</em>
N = 200
I = 4.0A
B = 0.70T
θ = 30°
A = π d² / 4 [d = diameter of the coil = 2.0cm = 0.02m]
A = π x 0.02² / 4 = 0.0003142m² [taking π = 3.142]
<em>Substitute these values into equation (i) as follows;</em>
τ = 200 x 4.0 x 0.0003142 x 0.70 sin30°
τ = 200 x 4.0 x 0.0003142 x 0.70 x 0.5
τ = 200 x 4.0 x 0.0003142 x 0.70
τ = 0.087976 Nm
Therefore, the torque on the coil is 0.087976 Nm
Vector explanation is apex and I got 100 on the test and it’s the definition
The second one since convection is the process by which heat is transferred from a solid surface to a non solid