Answer:
The maximum height above the point of release is 11.653 m.
Explanation:
Given that,
Mass of block = 0.221 kg
Spring constant k = 5365 N/m
Distance x = 0.097 m
We need to calculate the height
Using stored energy in spring
...(I)
Using gravitational potential energy
....(II)
Using energy of conservation
Where, k = spring constant
m = mass of the block
x = distance
g = acceleration due to gravity
Put the value in the equation
Hence, The maximum height above the point of release is 11.653 m.
The change in mechanical energy caused by the dissipative resistance force is equal to, difference between the potential energy and kinetic energy of the object.
Potential energy of the object, P.E = mgh
m is mass of the object = 10 kg
g is acceleration due to gravity = 9.8 m/s²
h= height from which it is dropped =50 m
Substituting the value we get,
P.E = 10×9.8×50 = 4900 J
Kinetic energy of the object, K.E = 
v is the velocity of the object = 26 m/s²
K.E = (1/2)×10×(26)²
= 3380 J
Change in mechanical energy caused by dissipative force = P.E ₋ K.E
= 4900 ₋ 3380 = 1520 J
M = mass of the ball A = 5.0 kg
m = mass of the ball B = ?
V = initial velocity of the ball A before collision = 20 m/s
v = initial velocity of the ball B before collision = 10 m/s
V' = final velocity of the ball A after collision = 10 m/s
v' = final velocity of the ball B after collision = 15 m/s
using conservation of momentum
M V + m v = M V' + m v'
(5.0) (20) + m (10) = (5.0) (10) + m (15)
100 + 10 m= 50 + 15 m
5 m = 50
m= 10 m/s
Answer:
the total energy before collision is 12.25J
the total energy after collision is tranfered to sound and heat (by the friction between the two clay balls)
Explanation:
first we should know the velocity of the 2 balls:
momentum=mass ×velocity
we have the momentum and the mass of the 2
so momentum ÷mass=velocity
clay ball 1 velocity=7 m/s & clay ball 2 velocity= -7 m/s
KE=1/2 mv²
1/2 ×0.25×7²=6.125J KE of ball 1
1/2 ×0.25×-7²=6.125J KE of ball 2
add them both we will have 12.25J which is before collision
this energy will then be tranfered to heat and sound as they stop after the collision(velocity =0m/s)
The statement is <em>TRUE</em>.
"Displacement" means the distance and direction from the start-point to the end-point, NO MATTER how you got there.
If you go out cycling and go back home when you're done, your displacement is zero. it doesn't matter how far you cycled, or what streets or woods you cycled through, or whether your route was a circle, a square, an ellipse, a triangle, or a jumble, or whether you cycled around and around the same path 27 times. You ended right where you started. The distance from your start-point to your end-point is zero, so your displacement is zero.
