Explanation:
Let's solve the problem by using conservation of momentum:
m1 u1 + m2 u2 = m1 v1 + m2 v2
where:
m1 = 3.5 g is the mass of the blue marble
m2= 1.2 g is the mass of the red marble
u1 = 15 cm/s is the initial velocity of the blue marble
u2 = 3.5 cm/s is the initial velocity of the red marble
v1 = 5.5 cm/s is the final velocity of the blue marble
We can find the final velocity of the red marble by re-arranging the equation and solving for v2 :
v2 = 1/m²(m1 u1 + m2 u2 - m1 v1)=
=1/1.2(3.5×15+1.2×3.5−3.5×5.5 )=31cm/s
Answer:
9.05 W
Explanation:
The given formula is 
where r is in centimeters and P is in Watts
Making Power, P the subject from the above formula
Substituting r with 12 cm then
Answer:
9 N
Explanation: Given that L = side of the cube = 10cm = 0.1m
Mass = Density * Volume
Let’s determine the volume of the cube in m^3.
V = L^3
V = 0.1^3 = 0.001m^3
Mass = 0.001 * 2.053 * 10^4 = 20.53kg
Weight = 20.53 * 9.8 = 201.194
Buoyant force = 201.194 – 192 = 9.194 N
This is approximately 9 N.
Answer:
Explanation:
given,
J = 50 kg-m²
frequency, f = 20 Hz
time ,t = 5 s
we know,
angular velocity = 2 π f
ω = 2 π x 20
ω = 125.66 rad/s
now, angular acceleration calculation
α = 25.13 rad/s²
Torque given to the flywheel.
Torque of the given flywheel is equal to
