Answer:
<h2>
206.67N</h2>
Explanation:
The sum of force along both components x and y is expressed as;

The magnitude of the net force which is also known as the resultant will be expressed as 
To get the resultant, we need to get the sum of the forces along each components. But first lets get the acceleration along the components first.
Given the position of the object along the x-component to be x = 6t² − 4;


Similarly,



Hence, the magnitude of the net force acting on this object at t = 2.15 s is approximately 206.67N
<h3>
Answer:</h3>
117.6 Joules
<h3>
Explanation:</h3>
<u>We are given;</u>
- Force of the dog is 24 N
- Distance upward is 4.9 m
We are required to calculate the work done
- Work done is the product of force and distance
- That is; Work done = Force × distance
- It is measured in Joules.
In this case;
Force applied is equivalent to the weight of the dog.
Work done = 24 N × 4.9 m
= 117.6 Joules
Hence, the work done in lifting the dog is 117.6 Joules
Question 2 is because the passengers have inertia, which is a tendency to resist change in motion
Answer:
4.1666666 seconds
Explanation:
100 divided by 24 will give you about 4.1666666 seconds or 4 1/6 seconds. Hope it helps!
Answer:
The magnitude and direction of the magnetic field is 93.63 T in negative x direction.
Explanation:
Given;
speed of the electron in positive y direction, v = 2.0 x 10⁵ m/s
magnetic force on the electron, F in negative z direction = 3.0 x 10⁻¹² N
The magnitude of the magnetic force is given by;
F = Qv x B
B = F / Qv

The direction of the magnetic field is is as;
Based on the direction of magnetic force (negative z direction), the charge will be directed into negative y-direction because electron is negatively charged. Thus, the direction of the magnetic field will be in the negative x-direction

Therefore, the magnitude and direction of the magnetic field is 93.63 T in negative x direction.