The terminal speed of the marble is 0.588 m/s.
Given:
We know that,
F = mg ......(1)
where,
F = force
m = mass
g = acceleration due to gravity
Also,
v = F/k ......(2)
where,
v = terminal speed
k = proportionality constant
Substituting the value of F from equation (1) in equation (2)
v = mg/k .......(3)
Given,
m = 30 g = 0.030 kg
k = 0.500 kg/s
g = 9.8 m/s²
To find,
v =?
Put the values in equation (3)
v = mg/k
v = 0.03(9.8)/ 0.500
= 0.294/0.500
= 0.588 m/s
Learn more about the calculation of force, refer to:
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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
Answer:
The answer is B- it decreases from 40 J to 37 J.
Explanation:
Because as you see it was at 8 then it went down 3 just like how it started at 40 and went down 3 to 37.
X = total horizontal distance = 25 ft
Y = total vertical distance = 125 ft
x = horizontal distance = 1 ft
y = vertical distance = ?
using the equation
y = (Y/X) (x)
inserting the values
y = (125/25) (1)
y = 5 ft
hence for each horizontal foot, the average height change is 5 ft
or
25 ft horizontal distance traveled = 125 ft vertical distance dropped
dividing both side by 25
25 ft horizontal distance traveled/25 = 125 ft vertical distance dropped/25
1 foot horizontal distance traveled = 25 ft vertical distance dropped