Answer:
mass of the composite lump is 10 kg
Explanation:
given data
mass = 4 kg
to find out
mass of composite lump
solution
we know energy is conserved so
so m1 = m2 = m0 that is 4kg
and
E(1) release+ E(2) release = E(1,2) rest
so γ(1)m(1)c² + γ(2)m(2)c² = Mc² ..........................1
that why here
|v(1)| = |v(2)| = 3/5 c ......................2
and
γ = 1 / √(1 − v²/c²) .......................3
put here v = 3 and c is 5
γ = 1 /√(1 − 9/25)
γ = 5/4
so
γ(1) = γ(2) = γ = 5/4
so from equation 1
γ(1)m(1)c² + γ(2)m(2)c² = Mc²
M = 2γm0
M = 2(5/4 )(4)
M = 10 kg
so mass of the composite lump is 10 kg
Answer:
2. The metal surface exerts less frictional force because there are fewer bumps and irregularities on it than there are on the concrete.
Explanation:
Frictional force is a force that is exerted between two surfaces in contact with each other. Frictional force always opposes the direction of relative motion of the two surfaces: for instance, for a ball moving along a surface, the force of friction exerted by the surface on the ball points opposite to the direction of motion of the ball.
The magnitude of the frictional force for a ball moving on a flat surface is given by
where
is the coefficient of friction
m is the mass of the ball
g is the acceleration of gravity
The value of depends on the type of surface involved. In particular, a smooth surface has a smaller value of , while a rough surface will have a bigger value. In this case, we are comparing a smooth metal surface with concrete: since the metal surface has fewer bumps and irregularities than concrete, it has a smaller value of coefficient of friction, so it exerts less frictional force than concrete.
Answer:
1.0639 A
Explanation:
We have given rms voltage V = 44 volt
Resistance = 60 ohm
According to ohm's law 
So 
this is the rms current but we have to find the maximum current
So maximum current 
Answer:
Mass of the skater, m = 72.75 kg
Explanation:
It is given that,
Radius of the circular path, r = 31 m
Speed of the skater, v = 14 m/s
Centripetal force, F = 460 N
We need to find the mass of the skater. It can be determined using the formula of centripetal force. It is given by :
m = 72.75 kg
So, the mass of the skater is 72.75 kg. Hence, this is the required solution.
Answer:
Explanation:
Given that, the pilot can withstand 9g acceleration which is approximately 88m/s².
Now, the pilot is traveling in a circle of radius
r = 3340 m
And the speed is
v = 495 m/s
Then, acceleration?
The acceleration of a circular motion can be determine using centripetal acceleration
a = v² / r
a = 495² / 3340
a = 73.36 m/s².
Since the acceleration is less that the acceleration the pilot can withstand, then, I think the pilot makes the turn without blacking out and successfully
