Response:

Details:
Utilizing Faraday's Newmann Lenz law enables the assessment of the induced emf within the loop:

where:
represents the change in magnetic flux
symbolizes the change over time.
#The magnetic flux linked to the coil can be represented as:

Where:
N represents the number of loops.
A denotes the area for each loop (
).
B indicates the strength of the magnetic field.
represents the angle between the magnetic field direction and the normal to the loop's area.

=0.0250T/s is indicated as the rate of magnetic field increase.
#Plugging in values into the emf equation:

Thus, the induced emf is 
By breaking down vector b into its x and y components, we form a right triangle where bx lies along the x-axis, by along the y-axis, and b represents the hypotenuse.
The x component bx equals the hypotenuse multiplied by the cosine of the angle between b and the x-axis, which is shown in

:
Answer:
4.32 kg.m/s
Explanation:
The 2.4 kg stone moves at a speed of 3.6 m/s with an angle of 30 degrees from the x+ direction towards y+. The momentum's y-component is calculated by multiplying its mass with its velocity in the y-direction.



Answer:
The change in linear momentum of the ball amounts to 6 kg-m/s.
Explanation:
Provided that,
Ball mass, m = 1 kg
Initial ball speed, u = 3 m/s
Upon striking a wall, it rebounds, moving horizontally to the opposite side at the same speed of 3 m/s, thus v = -3 m/s
The change in linear momentum is calculated as follows:

Consequently, the magnitude of the change in linear momentum of the ball is 6 kg-m/s.