The dummy's acceleration is 11 m/s^2
(also known as 11 meters per sec. per sec.)
a = F/m
= 825 N/75 kg
= 11 m/s^2
The net force is 2.2 N at 80.9 degrees south of east
Explanation:
In order to find the net force, we have to resolve each force along the x-y direction, and then add the components in each direction.
Taking east as positive x-direction and north as positive y-direction, we have:
- First force:

- Second force:

Therefore, the components of the net force are

And so, the magnitude of the net force is

And the direction is

which means 80.9 degrees south of east.
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The motion of the branch being shaken causes the fruit to detach off the branch, and gravity helps make the fruit fall.
Answer:
0.44 V
Explanation:
Parameters given:
Radius of loop, r = 10.7 cm = 0.107 m
Magnetic field strength, B = 0.803 T
Rate of shrinkage of Radius, dr/dt = 81 cm/s = 0.81m/s
EMF induced is given in terms of magnetic Flux, Φ, as:
EMF = dΦ/dt
Magnetic Flux, Φ, is given as:
Φ = B * A (where A is area of loop)
Therefore, EMF is:
EMF = d(B*A)/dt
The area of the loop is given as A = πr²
EMF = d(Bπr²) / dt = Bπ*d(r²)/dt
=> EMF = Bπ*2r*(dr/dt)
EMF = 0.803 * π * 2 * 0.107 * 0.81
EMF = 0.44 V