Answer:
The object´s displacement vector is Δr = 8i - 6 j
Explanation:
Hi there!
The position vector is given by the following function:
r = t²i - (3t + 3) j
Let´s find the position of the object at time t1 and t2:
At t1 = 1 s:
r1 = (1)² i - (3 · (1) + 3 )j
r1 = 1 i - 6 j
At t2 = 3 s:
r2 = (3)² i - (3 · (3) + 3) j
r2 = 9 i - 12 j
The displacement is calculated as follows:
displacement = Δr = final position - initial position = r2 - r1
r2 - r1 = 9 i - 12 j - (1 i - 6 j)
r2 - r1 = 9 i - 12 j - 1 i + 6 j
r2 - r1 = 8 i - 6 j
The object´s displacement vector is Δr = 8i - 6 j
Answer:
The car must move at 2 m/s to have a Ke of 2,000 Joules.
Explanation:
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Answer:
v=10 m/s
Explanation:
Given that,
Speed of a drone is 8 m/s due East with respects to the wind
Speed of a drone 6 m/s due North with respect to the ground.
We need to find the speed of the drone with respect to the ground. Let v is the speed. It is given by the resultant of two speeds.

So, the speed of the drone with respect to the ground is 10 m/s.
Answer:
In a way of energy “1s” subsell contains most energy. because 1 s subsell contains the electrons of K orbital which is nearest from the nucleus. so the order of energy will be 1s>2s>2p> 3s> 3p> 4s> 3d> 4p> 5s> 4d> 5p> 6s> 4f> 5d> 6p> 7s and the increasing order of thair energies will be- 4s <3d<4p<5s<4d<5p<6s<4f.
Answer:
The value is 
Explanation:
From the question we are told that
The diameter of the nucleus is 
The charge of the proton that makes up the nucleus is 
The energy to be impacted is 
Generally the radius of the nucleus is mathematically represented as

=> 
=> 
Generally from the law energy conservation we have that

i.e

Here

Here
is the initial kinetic energy which is mathematically represented as
Here
is the initial potential energy of the proton and the value is 0 J given that the proton is moving
Also
is mathematically represented as

Here
is the final potential energy which is mathematically represented as

Here
is the charge on the proton with a value of 
So

=> 
So

=> 
Here m is the mass of the moving proton with value 
So

=> 
=> 