B they belong to the same family of elements
Answer:
0.6983 m/s
Explanation:
k = spring constant of the spring = 0.4 N/m
L₀ = Initial length = 11 cm = 0.11 m
L = Final length = 27 cm = 0.27 m
x = stretch in the spring = L - L₀ = 0.27 - 0.11 = 0.16 m
m = mass of the mass attached = 0.021 kg
v = speed of the mass
Using conservation of energy
Kinetic energy of mass = Spring potential energy
(0.5) m v² = (0.5) k x²
m v² = k x²
(0.021) v² = (0.4) (0.16)²
v = 0.6983 m/s
Answer:
The number of revolutions turned by the centrifuge is 8250 revolutions.
Explanation:
Given;
number of revolution per minutes, ω = 15000 rpm
time of motion, t = 330 s = 5.5 minutes
The number of revolutions turned by the centrifuge is given by;
Therefore, the number of revolutions turned by the centrifuge is 8250 revolutions.
Explanation:
Elastic collision is said to occur if the total kinetic energy is not conserved and if there is a rebound after collision
Step one
Analysis of the problem
Immediately after impact the car's velocity was zero making it a perfect elastic collision
Step two
Given
Mass of car M1=1800kg
Mass of truck M2=5200kg
Initial velocity of Car U1=44m/s
Initial velocity of truck U2=21m/s
Final velocity of car V1= 0m/s
Final velocity of truck V2=20m/s
Step three
According to the principle of conservation of momentum
Total momentum before collision
=M1U1+M2U2
Total momentum after impact
=M1V1+M2V2
M1U1+M2U2 =M1V1+M2V2
Substituting our data into the expression we have 1500*44+5800*21=1500*0+5800*20
=66000+1218000=11600
1284000=11600
From the solution the momentum before impact is 1284000Ns
Momentum after impact is 11600Ns
This is indicating that after impact there was loss in momentum as a result of the car having a velocity of zero
Answer:
-929.5Joules
Explanation:
To get the work done by sam, we will calculate the kinetic energy of sam expressed as;
KE = 1/2mv²
m is the mass = 1100kg
v is the velocity = 1.3m/s
KE = 1/2(1100)(1.3)²
KE = 550(1.69)
KE = 929.5Joules
Since Sam is opposing the direction of movement, work done by him will be a negative work i.e -929.5Joules
