Answer:
v to the right.
Explanation:
<u>If there is no external force on the system, then the velocity of the center of mass is </u><u>constant</u><u>. </u>
The initial velocity of center of mass is v to the right. Therefore, the velocity of the center of mass at any point is v to the right.
Answer:
2.5 m/s east
Explanation:
Let east be the positive direction for velocity.
The change in momentum of the 0.75 kg model car is ...
m1·v2 -m1·v1 = (0.75 kg)(11 m/s) -(0.75 kg)(-9 m/s)
= (0.75 kg)(20 m/s) = 15 kg·m/s
The change in momentum of the 2.0 kg model car is the opposite of this, so the total change in momentum is zero.
m2·v2 -m2·v1 = (2 kg)(v2 m/s) -(2 kg)(10 m/s) = 2(v2 -10) kg·m/s
The required relation is ...
15 kg·m/s = -2(v2 -10) kg·m/s
-7.5 = v2 -10 . . . . divide by -2
2.5 = v2 . . . . . . . add 10
The velocity of the model truck after the collision is 2.5 m/s east.
Answer:
The value of smaller resistor is 248 Ω.
Explanation:
Voltage divider circuit is used to convert a higher voltage to a smaller voltage with the help of resistors which are connected in parallel.
As shown in the circuit, Vs is the source voltage, R₁ and R₂ are the two resistors and V₀ is the output voltage.
Applying KVL in the circuit, the output voltage is given by :

According to the problem, R₂ = 310Ω , V₀ = 5 V and Vs = 9 V. Substitute these values in the above equation.



R₁ = 248Ω
Answer:
7 m/s²
Explanation:
The formula for force is:

We want to find acceleration, so we must rearrange the formula for
. Divide both sides of the equation by 


Acceleration can be found by dividing the force by the mass.
The force is 42 newtons and the mass is 6 kilograms. A newton is equal to 1 kg * m/s², therefore the force is 42 kg* m/s².

Substitute the values into the formula.


Divide. When we divide, the kg in the numerator and denominator will cancel each other out.


The acceleration of the object is 7 meters per square seconds.
For Pascal's law, the pressure is transmitted with equal intensity to every part of the fluid:

which becomes

where

is the force on the first piston

is the area of the first piston

is the force on the second piston

is the area of the second piston
If we rearrange the equation and we use these data, we can find the intensity of the force on the second piston: