Answer:
(a) Jx = -1.14Ns, Jy = 110×3×10-³ = 0.330Ns (b) V = (0m/s)ı^−(1.79m/s)ȷ^
Explanation:
Given
W = 0.56N = mg
m = 0.56/g = 0.56/9.8 = 0.057kg
t = 3.00ms = 3.00×10-³s
Impulse is a vector quantity so we would treat it as such
We have been given the force and velocity in their component forms so to get the impulse from these quantities, we pick the respective component for the quantity we want to calculate and do the necessary calculation. The masses are scalar quantities and so do not affect the signs used in the calculations whether positive or negative. So we have that
u = (20.0m/s)ı^−(4.0m/s)ȷ^
ux = 20m/s
uy = – 4.0m/s
F = – (380N)ı^+(110N)ȷ^
Fx = –380N
Fy = 110N
J = impulse = force × time = F×t
So Jx = Fx ×t
Jy = Fy×t
Jx = –380×3×10-³ = -1.14Ns
Jy = 110×3×10-³ = 0.330Ns
Impulse also equals the change in momentum of the body. So
J = m(v–u)
J/m = v – u
V= J/m + u
Vx = Jx/m + ux
Vx = –1.14/0.057 + 20
Vx = -20 + 20 = 0m/s
Vx = 0m/s
Vy= Jy/m + uy
Vy= 0.33/0.057 + (-4.0)
Vy= 5.79 + (-4.0) = 1.79m/s
V = (0m/s)ı^−(1.79m/s)ȷ^
Explanation:
Check out the picture I drew for a minute before reading this...
B. Distance [the red line] is a scalar quantity reflecting how far an object has traveled. Displacement [the green line] is a vector quantity reflecting how far an object has moved from a point. The key difference is that distance can be any sort of path while displacement is always a vector (or a straight line) between a starting point and a finishing point. Sometimes distance and displacement are equal to one another. Sometimes you have a distance traveled, but zero displacement overall; which is what's going on in your question.
A. The distance that the racecar traveled is indeed 500m. But at the end of the lap, it is right back where it started. So overall, it has been displaced 0m.
Answer:
The speed of motorboat in still water = 42.67 km / h
Explanation:
Let speed of motorboat = u
speed of current = v
Then upstream speed = u - v
Negative sign is due to that the current and motorboat directions are opposite.
And downstream speed = u + v
Distance traveled by motorboat in upstream = 96 km
Time taken = 3 hours
Then upstream speed (u - v) = = 32 km / h ---------------- (1)
Distance traveled by motorboat in downstream = 160 km
Time taken = 3 hours
Downstream speed (u - v) = km / h = 53.34 km / h -------------------------- (2)
By adding equations (1) & (2), we get
⇒ 2 u = 32 + 53.34
⇒ 2 u = 85.34
⇒ u =
⇒ u = 42.67 km / h
Thus the speed of motorboat in still water = 42.67 km / h
In the Newtonian theory of gravitation, the effects of gravity are always attractive, and the resulting force is calculated with respect to the center of gravity of both objects. The law of universal gravitation formulated by Isaac Newton postulates that the force exerted by a point particle with mass M on another with mass m is directly proportional to the product of the masses (and the Universal Gravitation Constant), and inversely proportional to the square of the distance (r) that separates them:
Therefore the correct answer is 2.
Answer:
generate electricity or power