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
We would just get three times heavier.
weight = mass x gravity (9.8 m/s/s)
Explanation:
In a vacuum (no air resistance), it doesn't. All falling objects, regardless of mass, accelerate at the same rate.
However, when air resistance is taken into account, heavier objects indeed fall faster than lighter objects, provided they have the same shape and size. For example, a lead ball falls faster than a styrofoam ball.
To understand why, first look at what factors affect air resistance:
D = ½ρv²CA
where ρ is air density,
v is velocity,
C is drag coefficient,
and A is cross sectional area.
As falling objects accelerate, they eventually reach a maximum velocity where air resistance equals weight. This is called terminal velocity.
D = W
½ρv²CA = mg
v = √(2mg/(ρCA))
If we increase m while holding everything else constant, v increases. So two objects with the same size and shape but different masses will have different terminal velocities, with the heavier object falling faster.
Answer: C) 0.25 m
Explanation: In order to explain this problem we have to consider the Faraday law, we have:
ε=-dФ/dt where ε the emf induced by the change of the magnetic field given by dФ/dt.
then ε=I*R=17*6=102 V
We have a coil then we have the magnetic flux as follow:
Ф=N*A*B then we have
dФ/dt= N*A*dB/dt where A and N is the area and number of turn of the coil.
A=π*R^2 where R is the radius of teh coil.
Finally we have;
dФ/dt= N*π*R^2*dB/dt then
R= [dФ/dt/(N*π*dB/dt)]^1/2= [102/(180*π*3)]1/2=245.2*10^-3=≅0.25m
Answer:24888.8g
Explanation: 28cupcakes calls 360g
32 cupcakes calls ???
28x32=896 cupcakes
896/360= 2.4888888g
In four decimal place = 24888.8grams