Answer: The dependent Variables include: Size and Types of trees.
The independent Variables include:
geographic elevations that is, valleys and the higher elevations.
Explanation:
The dependent variable simply refers to the variable a researcher tests or measures during an experiment. On the other hand, the independent variable simply refers to the variable that's controlled during an experiment.
Based on the definition above, the dependent variables include the size and the types of trees while the independent variables include the
geographic elevations that is, the valleys and the higher elevations.
Answer:
The final velocity of cart 1 is 3m/s
Explanation:
From principle of conservation of linear momentum, which states that sum of the momentum before collision is equal to the sum of the momentum after collision.
Momentum, P is given as mass x velocity.
ΔP = Δmv = m₁u₁ +m₂u₂ = m₁v₁ + m₂v₂
Assumptions:
- If the two carts are moving on frictionless track, then limiting frictional forces due to their weights are negligible.
- After the elastic collision, the two carts will move separately with different velocity
u₁ + u₂ = v₁ + v₂;
where;
u₁ and u₂ are the initial velocity for cart 1 and cart 2 respectively
v₁ and v₂ are the final velocity for cart 1 and cart 2 respectively
1 m/s + 5 m/s = v₁ + 3m/s
6 m/s = v₁ + 3m/s
v₁ = 6 m/s - 3m/s = 3m/s
Therefore, the final velocity of cart 1 is 3m/s
A)♣ the string being pulled,
<span>the angular speed is: w1=w0 +w’*t, hence t=(w1-w0)/w’; </span>
<span>the angular path is: b=w0*t+0.5*w’*t^2, where angular acceleration </span>
<span>w’=T/J, torq T=F*r, and b*r=L; </span>
<span>♦ thus b=w0*(w1-w0)/w’ +0.5*w’*((w1-w0)/w’)^2 = </span>
<span>= (w1-w0)*(w0 +0.5w1 -0.5w0)/w’ =0.5*(w1^2 –w0^2)/w’; </span>
<span>♠ and b=L/r =0.5*(w1^2 –w0^2)/(F*r/J); </span>
<span>2(F*r/J)*L/r =w1^2 –w0^2, hence </span>
<span>w1^2=2F*L/J +w0^2; </span>
<span>b)♣ the power is P=F*(w0*r);
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Answer:
The ratio of the power generated by the engines are 
(b) is correct option.
Explanation:
Given that,
Mass of Tesla = 2000 Kg
Torque = 400 Nm
Mass of Mercedes = 1.5 M Tesla
The Benz engine produces 50% more torque than the Tesla.
We need to calculate the power generated by the engines 6 seconds after a start from rest
Using formula of power
We know that,
Put the value of F and v in equation (I)
Here, r and t are same for both bodies.
We need to calculate the ratio of the power generated by the engines
Using formula of power
Put the value into the formula
Hence, The ratio of the power generated by the engines are
