The final velocity is +15.0 m/s
Explanation:
The motion of the cart is a uniformly accelerated motion (=at constant acceleration), therefore we can use the following suvat equation:

where
v is the velocity at time t
u is the initial velocity
a is the acceleration
t is the time
For the cart in this problem, we have:
u = +3.0 m/s (initial velocity)
(acceleration)
t = 8.0 s (time)
Substituting, we find the final velocity:

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Answer:
Either B or D. The answer itself is 2.
Explanation:
The equation for the kinetic energy would be 1/2*mv^2.
When m is doubled, we can plug in 1 and 2 to compare our answers.
Plugging in 1 for mass would give us the answer 1/2*v^2.
Plugging in 2 for mass would give us v^2. This means that the velocity was multiplied by 2, meaning that the answer is it is multiplied by 2.
I am not sure which answer is correct since there seems to be two answer choices with 2 in it, but the answer is either B or D (I will call it ABCD because I do not want to cause confusion by saying 2 multiple times).
Answer:
The energy which is produced by a battery is 101.1 kJ.
Explanation:
The expression for the energy in terms of voltage, current and time is as follows;
E=VIt
Here, V is the voltage, I is the current and t is the time.
It is given in the problem that a battery can provide a current of 1.80 A at 2.60 V for 6.00 hr.
Calculate the energy of the battery.
E=VIt
Convert time from hour int seconds.
t=6 hr
t=(6)(60)(60)
t=21600 s
Put I= 1.80 A, V= 2.60 V and t= 21600 s in the expression of energy.
E=(2.60)(1.80)(21600)
E= 101.1 kJ
Therefore, the energy which is produced by a battery is 101.1 kJ.
Answer:
The minimum force to start the block moving up the wall = 49 N
Explanation:
Friction: This is the force that tend to oppose the motion of two bodies in contact. The S.I unit of frictional force is Newton (N)
The minimum force required to start the block moving up the wall = Frictional Force.
I.e F = Frictional force.
And, F = μR..........................Equation 1
Where μ = coefficient of static friction, R = Normal reaction.
But R = mg ( on a level surface).................. Equation 2
Where m = mass, g = acceleration due to gravity.
Given: m = 10 kg,
Constant: g = 9.8 m/s²
substituting these values into Equation 2
R = 10 × 9.8
R = 98 N.
Also given: μ = 0.50
Substituting these values into equation 1
F = 98 × 0.5
F = 49 N.
Therefore The minimum force to start the block moving up the wall = 49 N