Explanation:
The given data is as follows.
k = 130 N/m, 
= 17 cm = 0.17 m (as 1 m = 100 cm)
mass (m) = 2.8 kg
When the spring is compressed then energy stored in it is as follows.
Energy = 
Now, spring energy gets converted into kinetic energy when the box is launched.
So, = 
= 
= 1.34
v = 1.15 m/sec
Now,
Frictional force = 
= 
= 4.116 N
Also, Kinetic energy = work done by friction
1.8515 = 
d = 0.449 m
Thus, we can conclude that the box slides 0.449 m across the rough surface before stopping.
Answer:
Potential
Explanation:
The water in the bathtub has more potential energy than that in the tea cup because it has a greater number of water molecules.
Mass is a parameter that is very instrumental in determining potential energy.
The potential energy of a body is the energy due to the position of that body.
Potential energy = mass x acceleration due gravity x height
Mass is the amount of matter in a substance. Water in the tub will have more mass and contain a greater number of water molecules there in.
Since potential energy is directly proportional to mass, then, it will have a greater amount of potential energy.
Answer:
(a) 104 N
(b) 52 N
Explanation:
Given Data
Angle of inclination of the ramp: 20°
F makes an angle of 30° with the ramp
The component of F parallel to the ramp is Fx = 90 N.
The component of F perpendicular to the ramp is Fy.
(a)
Let the +x-direction be up the incline and the +y-direction by the perpendicular to the surface of the incline.
Resolve F into its x-component from Pythagorean theorem:
Fx=Fcos30°
Solve for F:
F= Fx/cos30°
Substitute for Fx from given data:
Fx=90 N/cos30°
=104 N
(b) Resolve r into its y-component from Pythagorean theorem:
Fy = Fsin 30°
Substitute for F from part (a):
Fy = (104 N) (sin 30°)
= 52 N
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