Gravity is directly proportional to the product of the two. Masses and inversely proportional to the square distance between the two masses.
Answer:
The displacement can be calculated by measuring the area of the curve when we move along the t curve. So, that would give the displacement.
Explanation:
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^
Fire extinguishers are typically red. Goes along with the red fire trucks and red being a color of emergency. While there isn't any standard, if we decided to change the colors of the fire extinguisher, people would be very confused and given the context, it could cost people's lives, so I'm thinking red will be the color of fire extinguishers for a while to come.
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Answer:
1) a = -1 m/s²
2) v = 12 m/s
Explanation:
Given,
The initial velocity of the object, u = 15 m/s
The final velocity of the object, v = 10 m/s
The time taken by the object to travel is, t = 5 s
Using the first equation of motion
<em>v = u + at</em>
a = (v - u) / t
Substituting the values
a = (10 - 15) / 5
= -1 m/s²
The negative sign indicates the body is decelerating
The acceleration of the object is, a = -1 m/s²
The speed of the object after 2 seconds
From the above equations of motion
v = 15 + (-1) 2
= 12 m/s
Hence, the speed of the object after 2 seconds is, v = 12 m/s
