Given the potential energy of 100 J, the height of the hill is 0.128 m (12.8 cm)
Explanation:
The gravitational potential energy of an object is given by:
where
m is the mass of the object
g is the acceleration of gravity
h is the heigth of the object, relative to the ground
In this problem, we have
U = 100 J is the potential energy of the person
is the acceleration of gravity
m = 80 kg is the mass of the person
Solving for h, we find at what height the person is:
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Answer:
a) 0.25m
b) 5 m/s
Explanation:
When the spring is compressed both boxes are moving with the same velocity, so applying the principle of linear momentum conservation:
Now applying the principle of energy conservation:
We got that the maximum compression is 0.25m.
Answer:
The density of plastic is equal to 0.6 g/mL.
Explanation:
Given that,
The mass of piece of plastic, m = 15 g
It is placed in a graduated cylinder. The water level in the graduated cylinder rises from 30 mL to 55 mL when the plastic is added.
We need to find the density of plastic.
Rise in volume = 55 mL - 30 mL
= 25 mL
The density of an object is given by :
So, the density of plastic is equal to 0.6 g/mL.