Answer: - 45000 N.s
Explanation: Impulse is equal to the change in momentum
J = Δp
To solve for impulse we calculate the change in momentum
Δp = m ( Δv)
= 1500 kg ( 10 m/s - 40 m/s)
= - 45000 N.s
No, since their gravity is powerful enough to keep them together even while the universe expands as a whole. Space is not expanding within clusters of galaxies.
<h3>What is a galaxy?</h3>
A galaxy is a massive clump of gas, dust, and billions of stars and their solar systems bound together by gravity.
No, since their gravity is powerful enough to keep them together even while the universe expands as an entire.
Hence,space is not expanding within clusters of galaxies.
To learn more about the galaxy, refer to the link;
brainly.com/question/2905713
#SPJ1
Answer: 271.4 s
Explanation:
We are told the top speed (maximum speed)
the car has is:
taking into account 
And the car's average acceleration
is:

Since:
(1)
Where:
is the car's final speed (top speed)
because it starts from rest
is the time it takes to reach the top speed
Finding this time:
(2)
(3)
(4)
Now we have to find the distance
the car traveled at this maximum speed with the following equation:
(5)
Isolating
:
(6)
(7)
(8)
On the other hand, we know the total distance
traveled by the car is:
Hence the remaining distance is:
(9)
(10)
So, we can calculate the time
it took to this car to travel this remaining distance
at its top speed
, with the following equation:
(11)
Isolating
:
(12)
(13)
(14)
With this time
and the value of
calculated in (4) we can finally calculate the total time
:
(15)
(16)
Answer:
(i) The maximum acceleration upward is 2.02 m/s².
(ii) The maximum acceleration downward is 1.39 m/s².
Explanation:
Let a be the maximum acceleration of the elevator.
The mass of the person at ground is 150 lb. We have to convert the mass into kg,
1 lb = 0.453592 kg
150 lb = 68 kg
170 lb = 77 kg
120 lb = 54 kg
(i) The person experience a force due to Earth's gravity in the downwards direction. The magnitude of this force is:
F₁ = mg = 68 x 9.8 = 666.4 N
The weight of the person decreases as the elevator is moving upwards. So, the force experienced by the person in this case due to gravity is:
F₂ = 54 x 9.8 = 529.2 N
Applying Newton's force equation;
(F₁ - F₂) = ma
(666.4 - 529.2) = 68 x a
a = 2.02 m/s²
(ii) The weight of the person increases as the elevator is moving downwards. So, the force experienced by the person in this case due to gravity is:
F₂ = 77 x 9.8 = 754.6 N
Applying Newton's force equation;
(F₁ - F₂) = ma
(666.4 - 754.6) = 68 x a
a = -1.30 m/s²
Answer:
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