Answer:
The final speed of the stone as it lift the ground is 23.86 m/s.
Explanation:
Given that,
Force acting on the rock, F = 3 N
Distance, d = 16 m
Initial speed of the stone, u = 22 m/s
We need to find the rock's speed just as it left the ground. It can be calculated using work energy theorem as :
So, the final speed of the stone as it lift the ground is 23.86 m/s.
Explanation:
The give data is as follows.
C = 6 =
V = 6 V
Now, we know that the relation between charge, voltage and capacitor for series combination is as follows.
Q = CV
=
=
or, = 36
Thus, we can conclude that maximum charge of the given capacitor is 36 .
125 W is the power output of this machine.
Answer:
Explanation:
Power is defined as the amount of work done on the system to move that system from its original state within the given time interval. So it can be determined by the ratio of work done with time interval. As work done is the measure of force required to move a system to a certain distance. Work done is calculated as product of force with displacement.
So in the present case, the force is given as 100 N, the displacement is given as 5 m and the time is given as 4 s, then power is
As Work done = Force acting on the machine × Displacement
So
Power = =125 W
So, 125 W is the power output of this machine.
Answer:
Time = 6 years
Explanation:
First, we will calculate the no. of half life periods required to reduce the mass of Protactinium to the given value:
where,
n = no. of half-life periods = ?
m = initial mass = 86.3 g
m' = remaining mass = 10.8 g
Therefore,
Since the bases are the same. Therefore equating powers:
n = 3
Now we calculate the time:
<u>Time = 6 years</u>