Answer:
The mass of the cable is 4.94 kg
Explanation:
It is given that,
Mass of the block, m = 20 kg
Force applied to the cable, F = 110 N
Speed of the block, v = 4.2 m/s
Distance, d = 2 m
Let a is the acceleration of the block. It can be calculated using the third equation of motion as :
Let m' is the mass of the cable. It can be calculated using the second law of motion as :
m = 4.94 kg
So, the mass of the cable is 4.94 kg. Hence, this is the required solution.
Answer:
(c) 10.29 J
(d) 113.19 J
(e) 113.19 J
(f) 10061 N/m
Explanation:
15 cm = 0.15 m
Let g = 9.8 m/s2
(c) The work done by gravitational force is the product of gravity force and the distance compressed
(d) By using law of energy conservation with potential energy reference being 0 at the maximum compression point. As the ball falls and come to a stop at the compression point, its potential energy is transferred to elastic energy, which is the work that the mattress does on the ball:
where h = 1.5 + 0.15 = 1.65 m is the vertical distance that it falls.
(e) Before the compression, the potential energy of the mattress is 0. After the compression, the potential energy is 113.19J. So it has increased by 113.19J due to the potential energy transferred from the falling ball.
(f)