<span>The momentum of the falcon before collision is 0.6 * 20 = 12000 kgm/s which is actually the momenum of the falcon in the x-component. I had converted 600g to kg. After the collision the x-component of the raven is now mv2cos(thetha) where v2 is the final velocity of the raven and theta is the angle at which the falcon hits the raven. So we have that the falcon's final velocity = 600 * 5 * cos (theta). Likewise, after getting hit the the falcon, the raven's final momentum of is = m2v2cos(theta) = 1.5 * 9 * cos(theta). There's no motion along the y-components. So equating we have, momentum before collision = momentum after collision of the raven + momentum after collision of the falcon.
So we have 12000 = 3000cos(theta) + 13.5cos(theta). Cos(theta)(3000 + 13.5) = 12000. Theta = cos^-1( 12000/3013.5 = 3.98 So theta =</span>
The sphere will go up until all the initial kinetic energy be transformed into potential energy.
Intital kinetic energy = m*(vi)^2 / 2
Final potential energy = mgh
mgh = m(vi)^2 / 2 => h = (vi)^2 / (2g)
g = 9.81 m/s^2
vi = (1.5m/s)^2
h = (1.5m/s)^2 / (2*9.81m/s)^2 = 0.115 m
The range is the distance run over the ramp
Using trigonometry, sin(20°) = h /run => run = h / sin(20) = 0.115m / sin(20) = 0.336 m
Answer: 0.336 m
-6.7cm just took the time to put this answer down because its been helping me and its right so good luck
The resultant force will be equal to difference of her downward force, her weight, and the upward force, the air resistance.
Fnet = 657 - 51.1 x 9.81
= 149.7 N
F = ma
a = F / m
a = 149.7/51.1
a = 2.93 m/s²
Answer:
0.68 seconds
Explanation:
Data provided in the question:
Mass of the box = 50 kg
Speed of the box = 1.0 m/s
Coefficient of friction, μ = 0.15
Now,
Force applied = μmg
Here,
g is the acceleration due to gravity = 9.8 m/s²
Thus,
F = 0.15 × 50 × 9.8
= 73.5 N
Also,
Force = Mass × Acceleration
thus,
73.5 N = 50 × a
or
a = 1.47 m/s²
After doubling the speed
Final speed = 2 × Initial speed
= 2 × 1 m/s
= 2 m/s
Also,
Acceleration = [change in speed] ÷ Time
or
1.47 = [ 2 - 1 ] ÷ Time
or
Time = 1 ÷ 1.47
or
Time = 0.68 seconds