Answer:
137.8 N
Explanation:
First we need to find the acceleration of the sprinter. To do so, we can use the Torricelli's equation:
V^2 = Vo^2 + 2*a*S
9^2 = 2^2 + 2*a*25
81 = 4 + 50a
50a = 77
a = 77/50 = 1.54 m/s2
Now, to find the resulting force in the sprinter, we can use the following equation:
Force = mass * acceleration
Force = 70 * 1.54 = 107.8 N
If we have a 30 N force against the sprinter, the total force applied is:
Resulting force = Applied force - Wind force
107.8 = Applied force - 30
Applied force = 137.8 N
Answer:
0.45 m/s in the negative x-direction
Explanation:
From the law of conservation of momentum, the sum of initial momentum equals the sum of final momentum
Momentum, p=mv where m is the mass and v is the velocity
where is the common velocity, and are velocities of magnet moving in positive x-direction and magnet moving in negative x-direction respectively, and are masses of magnet moving in positive x-direction and magnet moving in negative x-direction respectively.
Substituting 125 g for and 85 g for , 7.33 m/s , -11.9 m/s for then
Therefore, the velocity of single unit is 0.45 m/s in the negative x-direction
<h2>
Answer:</h2>
Deductive reasoning
<h2>
Explanation:</h2>
The process of using pre-existing knowledge to make logical conclusions, make predictions and draw out explanations is called reasoning. Reasoning are basically of two types:
i. Deductive reasoning: This takes a general rule, idea, or theory as foundation and then proceeds from there to draw meaningful conclusions or predictions. For example;
<em> If a = 3 ----------------(i)</em>
<em> And b = 5 ----------------(ii)</em>
<em> Then 2a + 4b = 26 -------------(iii)</em>
From above, following from equations (i) and (ii), it can be concluded that (iii) should be true.
ii. Inductive reasoning: While deductive reasoning moves from a general rule to specific rule, inductive reasoning does the opposite - moves from specific to a general rule.
Answer:
1.024 × 10⁸ m
Explanation:
The velocity v₀ of the orbit 8RE is v₀ = 8REω where ω = angular speed.
So, ω = v₀/8RE
For the orbit with radius R for it to maintain a circular orbit and velocity 2v₀, we have
2v₀ = Rω
substituting ω = v₀/8RE into the equation, we have
2v₀ = v₀R/8RE
dividing both sides by v₀, we have
2v₀/v₀ = R/8RE
2 = R/8RE
So, R = 2 × 8RE
R = 16RE
substituting RE = 6.4 × 10⁶ m
R = 16RE
= 16 × 6.4 × 10⁶ m
= 102.4 × 10⁶ m
= 1.024 × 10⁸ m