Answer:
L = 0 m
Therefore, the cricket was 0m off the ground when it became Moe’s lunch.
Explanation:
Let L represent Moe's height during the leap.
Moe's velocity v at any point in time during the leap is;
v = dL/dt = u - gt .......1
Where;
u = it's initial speed
g = acceleration due to gravity on Mars
t = time
The determine how far the cricket was off the ground when it became Moe’s lunch.
We need to integrate equation 1 with respect to t
L = ∫dL/dt = ∫( u - gt)
L = ut - 0.5gt^2 + L₀
Where;
L₀ = Moe's initial height = 0
u = 105m/s
t = 56 s
g = 3.75 m/s^2
Substituting the values, we have;
L = (105×56) -(0.5×3.75×56^2) + 0
L = 0 m
Therefore, the cricket was 0m off the ground when it became Moe’s lunch.
Answer:
400 N
Explanation:
Change of Kinetic Energy to Friction Wok
∆KE = W
½ x m x (v(5)² - v(3)²) = f x d
½ x 500 x (5² - 3²) = f x 10
250 x (25 - 9) = f x 10
25 x 16 = f
f = 400 N
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:
0.5 Amperes
Explanation:
Information that we have:
Power: 
Voltage: 
and we use the equation that relates this two quantities to the Current (I):

where I is the curent, P is the Power and V is the Voltage.
we substitute the values given for the Power and the Voltage to find the current:

the Current running into the bulb is 0.5 Amperes