The final velocity of the ball that is dropped from a height of 200m is v = 44.73 m/s .
<h3>What is velocity with example?</h3>
The rate at which an object is travelling in one direction is referred to as its velocity. an automobile traveling north on a highway, or a rocket taking off. Its velocity vector's absolute value always is equal to the motion's speed because it is a scalar.
<h3>Briefing:</h3>
Given the initial velocity of the ball (u) = 0
Distance travelled by the ball (s) = 200m
Acceleration (a) = 10 m/s²
As we know:
v² = u² + 2as
Putting values:
v² = 0+2 × (10 m/s²) × (200 m)
v = 44.73 m/s.
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Based on the answer provided, it seems the writer wanted you to assume that the energy loss per plank is constant. This is not the same as the bullet losing <span><span>1/nth</span><span>1/nth</span></span><span> of its velocity per plank (however, the fact that the question does not mention this assumption arguably makes the question ambiguous).
</span><span>With this assumption, the energy loss becomes
</span><span>
ΔE = <span>1/2 </span>m<span>v2 </span>− <span>1/2 </span>m <span><span>(<span>v−<span>v/n</span></span>) </span><span>2
</span></span></span>
and the number of planks <span>NN</span><span> becomes
</span>
N = <span><span><span>1/2</span>m<span>v2 /</span></span><span>ΔE </span></span>= <span><span>n2/ </span><span>2n−1
</span></span>
Otherwise, if you assume that the bullet loses <span><span>1/<span>nth</span></span><span>1/<span>nth</span></span></span><span> of its velocity per plank, then the answer is </span><span><span>N=∞</span></span><span><span>
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Renewable resources:
A renewable resource is one that can be used repeatedly and does not run out because it is naturally replaced.
Nonrenewable resource:
A nonrenewable resource is a natural substance that is not replenished with the speed at which it is consumed. It is a finite resource.
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<span>A. Work = integral of force across a path. Since the force is constant, just multiply them: force*distance = 200N * (1m*sin(30)) = 100 Nm = 100 J
B. Use Newton: F=ma. For this, we need to use the sum of all the forces, not just the work we apply on the books, but gravity and friction too. Constant velocity means zero acceleration, which means the sum of forces is zero. Draw a free body diagram with the three forces and you'll see that the uphill force = the downhil force =>
200N = NormalForce*Coefficient + Gravity*mass*sin(30)
200N = Gravity*mass*cos(30)*coef. + Gravity*mass*sin(30)
200N = 9.81*mass*(cos(30)*0.18 + sin(30))
mass = 200/(9.81*(cos(30)*0.18 + sin(30)))
m = 31.23 kg</span>