A soccer ball is kicked with an initial horizontal velocity of 12 m/s and an initial vertical velocity of 19 m/s. 1 what is the
1 answer:
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Let's break the question into two parts:
1) The force needed in Ramp scenario.
2) The effort force needed in the lever scenario.
1. Ramp Scenario:
In an incline, the only component of cart's weight(mg) that is in the direction of motion is
. Therefore the effort force in this case must be equal or greater than .
Now we need to find
. 
is the angle between the incline of the ramp and the ground.
Since the height is 5m and the length of the ramp is 8m,
would be 5/8 or 0.625. Now that you have 
, mutiple it with mg.
=> m*g* = 20 * 10 * 5 / 8. (Taking g = 10 m/s² for simplicity) = 125N
Therefore, the minimum Effort force you would require in this case is 125N.
2. Lever Scenario:
Just apply "moment action" in this case, which is:
= ?
= mg = 20 * 10 = 200N
= 10m
= 1m
Plug-in the values in the above equation:
= 200/10= 20N
As 20N << 125N, the best choice is to use lever.
1) The force needed in Ramp scenario.
2) The effort force needed in the lever scenario.
1. Ramp Scenario:
In an incline, the only component of cart's weight(mg) that is in the direction of motion is
Now we need to find
Since the height is 5m and the length of the ramp is 8m,
=> m*g*
Therefore, the minimum Effort force you would require in this case is 125N.
2. Lever Scenario:
Just apply "moment action" in this case, which is:
Plug-in the values in the above equation:
As 20N << 125N, the best choice is to use lever.
Answer:
astronauts age is 32 years
correct option is e 32 years
Explanation:
given data
travels = 20 light year
stay = 2 year
return = 52 years
to find out
astronauts aged
solution
we know here they stay 2 year so time taken in traveling is
time in traveling = ( 52 -2 ) = 50 year
so it mean 25 year in going and 25 years in return
and distance is given 20 light year
so speed will be
speed = distance / time
speed = 20 / 25 = 0.8 light year
so time is
time =
time =
time = 15 year
so age is 15 + 2 + 15
so astronauts age is 32 years
so correct option is e 32 years