Explanation:
Given that,
Potential difference, V = 412 V
Magnitude of magnetic field, B = 188 mT
(a) The potential energy of electron is balanced by its kinetic energy as :

v is speed of the electron

(b) When the charged particle moves in magnetic field, it will move in circular path. The radius of the circular path is given by :

Hence, this is the required solution.
Answer:
Explanation:
<u>Given the following data;</u>
Initial velocity = 0 (since the stone is starting from rest).
Final velocity = 32 m/s
Acceleration = g = 10 m/s²
Time = 3.2 seconds
To show that the speed of the stone when it hits the ground is 32 m/s, we would use the first equation of motion;
Where;
- V is the final velocity.
- U is the initial velocity.
- a is the acceleration.
- t is the time measured in seconds.
Substituting into the formula, we have;

<em>Proven: 32 m/s = 32 m/s</em>
Answer:
Initial velocity = 39.2m/s
Maximum height is 78.4m
Explanation:
Given

Solving (a): Initial Velocity
Using first law of motion:

Where


<em />
<em> [g represents acceleration due to gravity]</em>

Substitute these value in the above formula:



Take g as 9.8m/s²


<em>Hence, initial velocity = 39.2m/s</em>
Solving (b): Maximum Height
This will be solved using second equation of motion

This becomes

Substitute values for u, t and g



<em>Hence, the maximum height is 78.4m</em>
Answer:
10.1 m/s
Explanation:
By Newton's third law, the force on the squid and that due to the water expelled form an action reaction pair.
And by the law of conservation of momentum,
initial momentum of squid + expelled water = final momentum of squid + expelled water.
Now, the initial momentum of the system is zero.
So, 0 = final momentum of squid + expelled water
0 = MV + mv where M = mass of squid = 6.50kg, V = velocity of squid = 2.40m/s, m =mass of water in cavity = 1.55 kg and v = velocity of water expelled
So, MV + mv = 0
MV = -mv
v = -MV/m
= -6.50 kg × 2.40 m/s ÷ 1.55 kg
= -15.6 kgm/s ÷ 1.55 kg
= -10.1 m/s
So, speed must it expel this water to instantaneously achieve a speed of 2.40 m/s to escape the predator is 10.1 m/s
Answer:
total distance is 147 km
and john displacement is = 89 km
Explanation:
given data
mile marker = 252 km
reach = 134 km
retrace path = 163 km
to find out
resultant displacement
solution
we know here john travel from 252 km mark
and he reach at 134 km
so he travel distance part1 = 252 - 134
distance d1 = 252 - 134 = 118 km ..............1
and
then he start travel from 134 km mark upto 163 km mark
so distance travel in part 2 is
distance d2 = 163 - 134 = 29 km ....................2
so total distance is 118 + 29 = 147 km
and john displacement is = 252 - 163 = 89 km