Answer:
A. 98,000 J
Explanation:
The gravitational potential energy of an object is given by
U = mgh
where
m is the mass of the object
g is the gravitational acceleration
h is the heigth above the ground
In this problem,
m = 2000 kg
g = 9.8 m/s^2
h = 5.0 m
Substituting into the equation, we find

Answer:
d = 1600 m
Explanation:
If car start from rest and accelerates uniformly then the displacement of the car is given as

now we know

now if the same car will accelerate from rest for four times of the previous time interval
then we will have


so the distance will be 16 times more

Answer:
Explanation:
Angular speed of hoop ω = v / r
= 8.90 / .27
= 32.96 rad / s
Translational kinetic energy = 1/2 mv²
= .5 x 1.8 x 8.9²
= 71.29 J
Rotational kinetic energy = 1/2 Iω²
= 1/2 mR²x ω²
= 1/2 mv²
= 71.29 J
Total kinetic energy
= 2 x 71.29
= 142.58 J
This energy will be used to attain height
If h be the height attained
mgh = 142.58
h = 142.58 / mg
= 142.58 / 1.8 x 9.8
= 8.08 m .
The power provided by the machine is 13.24 W.
Answer:
Explanation:
Power is determined as the ratio of work done by the system or on the system to the time interval. As the work done is equal to the product of force acting on the system or by the system with the displacement experienced by the system. The power provided by the machine will be
Power = Work done /Time
As the force is given as 121 N and the displacement is given as 15.1 m in a time interval of 2.3 minutes. The time interval should be changed to seconds for each solving ability.
Time taken = 2.3 * 60 s = 138 s
Power = (121×15.1)/138 = 13.24 W.
So the power provided by the machine is 13.24 W.