Answer:
the distance that the dice is under the monkey 6 m
Explanation:
This is a projectile throwing exercise for the dart and free fall for the monkey, as we are asked for the distance when the dart passes under the monkey, so by that time the dice is 100 m away from the monkey, let's calculate how long it takes for the dart to reach this point
X = Vox t
t = X / Vox
t = 100/32
t = 3,125 s
With this time let's calculate the height of the dart and height that the monkey has descended
Dart
Y = Voy t - ½ g t²
Y = 10.88 3.125 - ½ 9 3125² = 34 - 43.94
Y = - 9.94 m
Monkey
Let's calculate how much descended in this time, see that the monkey is 40 m higher than the dart
Ym = Yo + Vot - ½ g t²
We assume that the monkey is released so that its Vo is zero
Ym = Yo - ½ g t²
Ym = 40 - ½ 9 3,125² = 40 -43.94
Ym = -3.94 m
We already have the distances of each one, the difference between them is the subtraction of the two
ΔDY = Yd -Ym
ΔY = 9.94 -3.94
ΔY = 6 m
This is the distance that the dice is under the monkey
Answer:
3) speed
Explanation:
rate of velocity changes due to speed
Complete Question
A toroidal solenoid has 590 turns, cross-sectional area 6.20 cm^2 , and mean radius 5.00 cm .
Part A. Calculate the coil's self-inductance.
Part B. If the current decreases uniformly from 5.00 A to 2.00 A in 3.00 ms, calculate the self-induced emf in the coil.
Part C. The current is directed from terminal a of the coil to terminal b. Is the direction of the induced emf from a to b or from b to a?
Answer:
Part A
Part B
Part C
From terminal a to terminal b
Explanation:
From the question we are told that
The number of turns is
The cross-sectional area is
The radius is
Generally the coils self -inductance is mathematically represented as
Where is the permeability of free space with value
substituting values
Considering the Part B
Initial current is
Current at time t is
The time taken is
The self-induced emf is mathematically evaluated as
=>
substituting values
The direction of the induced emf is from a to b because according to Lenz's law the induced emf moves in the same direction as the current
The equation you would use here is F=ma, where F is the force in Newtons, m is the mass in kilograms (must be in kilograms in order for the units to match on both sides), and a is acceleration in meters per second squared. Therefore, you do: 65kg x .3m/s^2= FF. That'll give you the answer.