Answer:
(a) Final speed of block = 3.2896 m/s
(b) 6.7350 m/s is the speed of the bullet-block center of mass?
Explanation:
Given that:
Mass of bullet (m₁) = 6.20 g
Initial Speed of bullet (u₁) = 929 m/s
Final speed of bullet (v₁) = 478 m/s
Mass of wooden block (m₂) = 850g
Initial speed of block initial (u₂) = 0 m/s
Final speed of block (v₂) = ?
<u>By the law of conservation of momentum as:</u>
<u>m₁×u₁ + m₂×u₂ = m₁×v₁ + m₂×v₂</u>
6.20×929 + 850×0 = 6.20×478 + 850×v₂
Solving for v₂, we get:
<u>v₂ = 3.2896 m/s</u>
Let the V be the speed of the bullet-block center of mass. So,
V = [m₁* u₁]/[m₁ + m₂] (p before collision = p after collision)
= [6.2 *929]/[5.2+850]
<u>V = 6.7350 m/s
</u>
The average acceleration of the car as it accelerates from 15 m/s to 25 m/s will be 2.5 m/s².
<h3>What is Average acceleration?</h3>
Average acceleration is the average rate of change of velocity with respect to time. Mathematically -
a = Δv/Δt
Given that a car is traveling at 15 m/s in north direction and in 4 seconds it accelerates to 25 m/s in the north direction only. Therefore, we can write -
initial velocity [u] = 15 m/s
final velocity [v] = 25 m/s
time taken [Δt] = 4 s
The magnitude of the average acceleration can be calculated as follows-
a = Δv/Δt
Δv = v - u = 25 - 15
Δv = 10 m/s
Therefore -
a = 10/4
a = 2.5 m/s².
Therefore, the average acceleration of the car will be 2.5 m/s².
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A. The truck exerts a greater force on the car than the car exerts on the truck.
Answer: The time of contact will be 0.006 seconds.
Explanation:
An impulse of a force is the product of average force and the time interval when the force acts.
Mathematically,
Where,
J = impulse = 3.6 Ns
F = Force = 600N
= Time = ?s
Putting the values in above equation, we get:
t = 0.006 seconds
Hence, the time of contact will be 0.006 seconds.
i think that the separation starting with one planet then onto the next is always moving in light of the fact that the two bodies are traveling through space. Whenever Neptune and Earth line up on a similar side of the sun, at their nearest, they are just 2.7 billion miles (4.3 billion kilometers) separated.