Answer:
9.8 m/s
Explanation:
The work done by the force pushing the cart is equal to the kinetic energy gained by the cart:

where
W is the work done
is the final kinetic energy of the cart
is the initial kinetic energy of the cart, which is zero because the cart starts from rest, so we can write:

But the work is equal to the product between the pushing force F and the displacement, so

So, the final kinetic energy of the cart is 480 J. The formula for the kinetic energy is
(1)
where m is the mass of the cart and v its final speed.
We can find the mass because we know the weight of the cart, 98.0 N:

Therefore, we can now re-arrange eq.(1) to find the final speed of the cart:

Calculating the average speed is simple using the formula <span>speed = distance/time</span>
Answer:
they slow down
Explanation:
Because number of electrons remain same in the closed circuit or wire, due to conservation of charge in any case. But due to addition of a external resistor current will decreases, by applying ohm's law( V=IR).
Answer:
(a) E= 3.36×10−2 V +( 3.30×10−4 V/s3 )t3
(b) 
Explanation:
Given:
- radius if the coil,

- no. of turns in the coil,

- variation of the magnetic field in the coil,

- resistor connected to the coil,

(a)
we know, according to Faraday's Law:

where:
change in associated magnetic flux

where:
A= area enclosed by the coil
Here




So, emf:
![emf= 520\times \frac{d}{dt} [((1.2\times 10^{-2})t+(3.45\times 10^{-5})t^4)\times 0.0049]](https://tex.z-dn.net/?f=emf%3D%20520%5Ctimes%20%5Cfrac%7Bd%7D%7Bdt%7D%20%5B%28%281.2%5Ctimes%2010%5E%7B-2%7D%29t%2B%283.45%5Ctimes%2010%5E%7B-5%7D%29t%5E4%29%5Ctimes%200.0049%5D)
![emf= 520\times 0.0049\times \frac{d}{dt} [(1.2\times 10^{-2})t+(3.45\times 10^{-5})t^4)]](https://tex.z-dn.net/?f=emf%3D%20520%5Ctimes%200.0049%5Ctimes%20%5Cfrac%7Bd%7D%7Bdt%7D%20%5B%281.2%5Ctimes%2010%5E%7B-2%7D%29t%2B%283.45%5Ctimes%2010%5E%7B-5%7D%29t%5E4%29%5D)
![emf= 2.548\times [0.012+(13.8\times 10^{-5})t^3)]](https://tex.z-dn.net/?f=emf%3D%202.548%5Ctimes%20%5B0.012%2B%2813.8%5Ctimes%2010%5E%7B-5%7D%29t%5E3%29%5D)

(b)
Given:

Now, emf at given time:

∴Current



We do as follows:
energy = charge x voltage change .
Let q be the charge then E = q V
<span>and solving for q we have
q = E / V = -1.37e-5J / 2850V = -4.81x10-9 C
</span>
Hope this answers the question. Have a nice day.