Since there are no external forces, including friction, act on the flatcar. after the sack rests on the flatcar, we would assume that momentum is conserved. This means that
total momentum of car before collision = total momentum of car after collision.
Recall,
momentum = mass x velocity
From the information given,
mass of car before collision = 2000
velocity of car before collision = 3
Thus,
total momentum of car before collision = 2000 x 3 = 6000
Also,
mass of sack = 500
mass of car and sack after collision = 500 + 2000 = 2500
velocity after collision = v
momentum after collision = 2500 x v = 2500v
Since momentum is conserved, then
6000 = 2500v
v = 6000/2500
v = 2.4
the speed of the flatcar is 2.4 m/s
The 'formulas' to use are just the definitions of 'power' and 'work':
Power = (work done) / (time to do the work)
and
Work = (force) x (distance) .
Combine these into one. Take the definition of 'Work', and write it in place of 'work' in the definition of power.
Power = (force x distance) / (time)
From the sheet, we know the power, the distance, and the time. So we can use this one formula to find the force.
Power = (force x distance) / (time)
Multiply each side by (time): (Power) x (time) = (force) x (distance)
Divide each side by (distance): Force = (power x time) / (distance).
Look how neat, clean, and simple that is !
Force = (13.3 watts) x (3 seconds) / (4 meters)
Force = (13.3 x 3 / 4) (watt-seconds / meter)
Force = 39.9/4 (joules/meter)
<em>Force = 9.975 Newtons</em>
Is that awesome or what !
A charge of 12 c passes through an electroplating apparatus in 2.0 min, then the average current is 0.1 ampere.
<h3>What is an electric charge?</h3>
Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge.
Electric current is defined as the charge per unit of time.
The mathematical relation between current and the electric charge
I =Q/T
where I is the current flowing
Q is the total electric charge
T is the time period for which the current is flowing
As given in the problem A charge of 12 c passes through an electroplating apparatus in 2.0 min
Let us first convert the time period of minutes into seconds
1 min = 60 seconds
2 min = 2*60 seconds
=120 seconds
By using the above relation between electric current and electric charge
and by substituting the respective values of the charge and the time period
I =Q/T
I = 12c/120 seconds
I = 0.1 Ampere
Thus, the average current flowing through the apparatus would be 0.1 Ampere.
Learn more about an electric charge from here
brainly.com/question/8163163
#SPJ4
Answer:
(a) Acceleration = 0.1063 m/s^2 (Second team wins)
(b) Tension in rope = 65.106 N
Explanation:
Total mass of first team = 68 * 9 = 612 kg
Total force of first team = 1350 * 9 = 12150 N
Total mass of second team = 73 * 9 = 657 kg
Total force of seconds team = 1365 * 9 = 12285 N
Difference in force = 12285 - 12150 = 135 N (towards the second team as it has more force)
(a) For acceleration we get:
F = m * a
135 = (mass of both teams) * a
a = 135 / (612 + 657)
acceleration = 0.1063 m/s^2 (Second team wins)
(b) Since we know the acceleration of the first team (pulling being pulled towards the second team at an acceleration of 0.1063 m/s^2) , we can find out the force required to move them:
Force required for first team = mass of first team * acceleration
Force required = 612 * 0.1063
Force required = 65.106 N
This is the force exerted on the first team through the rope, so the tension in the rope will also be 65.106 N.