Answer:
v₂ = 176.24 m/s
Explanation:
given,
angle of projectile = 45°
speed = v₁ = 150 m/s
for second trail
speed = v₂ = ?
angle of projectile = 37°
maximum height attained formula,
now,
now, equating both the equations
v₂² = 31061.79
v₂ = 176.24 m/s
velocity of projectile would be equal to v₂ = 176.24 m/s
Answer:
Moment of inertia will be
Explanation:
We have given mass of the person m = 72 kg
Radius r = 0.8 m
Force is given F = 5 N
Angular acceleration
Torque is given by
We know that torque is also given by
, here I is moment of inertia and is angular acceleration
So
Answers:
a) 222.22 m/s
b) 800.00 km/h
Explanation:
The speed of a wave is given by the following equation:
Where:
is the speed
is the frequency, which has an inverse relation with the period
is the wavelength
Solving with the given units:
This is the speed of the wave in km/h
Transforming this speed to m/s:
This is the speed of the wave in m/s
The spacing between the two slits is 0.221mm.
The spacing between the two slits is given as,
Where is wavelength, y is fringe spacing and L is length of screen.
Given that,
Substitute in above equation.
Hence, the spacing between the two slits is 0.221mm.
Learn more about the sodium lamp here:
Answer:
Recoil velocity of cannon = 2.92 m/s
Explanation:
By law of conservation of momentum, we have momentum of cannon = momentum of cannonball.
Mass of cannon = 1200 kg
Mass of cannon ball = 100 kg
Velocity of cannon ball = 35 m/s
We have, Momentum of cannon = momentum of cannon ball
1200 x v = 100 x 35
v =3500/1200 = 2.92 m/s
Recoil velocity of cannon = 2.92 m/s
The recoil speed of the cannon is 2.92 m/s.
To find the recoil speed of the cannon, we can use the conservation of momentum. The initial momentum of the cannon and cannonball system is zero since the cannon is at rest before firing. The final momentum is the sum of the momenta of the cannon and cannonball after firing. Using the equation:
Initial momentum = Final momentum
(mass of cannon) x (recoil speed of cannon) = (mass of cannonball) x (velocity of cannonball)
Plugging in the given values:
(1200 kg) x (recoil speed of cannon) = (100 kg) x (35 m/s)
Solving for the recoil speed of the cannon:
recoil speed of cannon = (100 kg x 35 m/s) / 1200 kg = 2.92 m/s
#SPJ3
Answer:
F = M2 ω^2 R centripetal force of sun on planet
ω = (F / (M2 R))^1/2 = 2 pi f = 2 pi / P where P is the period
P = 2 pi (M2 * R / F)^1/2
F = G M1 M2 / R^2 gravitational force on planet
P = 2 pi {R^3 / (G M1)]^1/2
P = 6.28 [(2.0E11)^3 / (6.67E-11 * 3.0E30)]^1/2
P = 6.28 (8 / 20)^1/2 E7 = 3.9E7 sec
1 yr = 3600 * 24 * 365 = 3.15E7 sec
P = 3.9 / 3.2 = 1.2 years