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Bumek [7]
2 years ago
11

A projectile is launched at an angle above the

Physics
1 answer:
gtnhenbr [62]2 years ago
7 0
The first rule of vectors is that the horizontal and vertical components are separate. Disregarding air resistance, the only thing we have to worry about is gravity.

The appropriate suvat to use for the vertical component is v = u +at
I will take a to be -9.81, you may have to change it to be 10 if your qualification likes g to be 10.

v = 30 + (-9.81x2)
v = 30 - 19.62
=10.38m/s

Therefore we know that after 2.0 s the vertical component will be 10.38ms^-1, ie 10m/s as the answers given are all to 2sf.

The horizontal component is completely separate to the vertical component and since there is no air resistance, it will remain constant throughout the projectiles trajectory. Therefore it will remain at 40ms^-1.

Combining this together we get:
(1) vx=40m/s and vy=10m/s

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Two small insulating spheres with radius 3.50×10^−2m are separated by a large center-to-center distance of
Liula [17]

Answer:

Part (i) the magnitude E of the electric field midway between the spheres is 8.71 × 10⁵ N/C

Part (ii) the direction of the electric field is towards the negative charge

Explanation:

Given;

+q = 3.93.90μC, r = 3.50×10⁻²m

-q = −2.40μC, r = 3.50×10⁻²m

magnitude of the electric field is experienced, midway between the spheres at a distance r,  r = ¹/₂ × 0.51 = 0.255 m

Electric field due to point charge is given as;

E = \frac{F}{q} = \frac{Kq^2}{qr^2}  = \frac{kq}{r^2}

K is coulomb's constant = 8.99 x 10⁹ Nm²/C²

The positive charge on positive x-axis and the negative charge is on negative x-axis.

part (a)

The electric field due to positive charge; +q = 3.93.90μC

E_+ = \frac{kq}{r^2}\\\\E_+ = \frac{8.99 X10^9*3.9X0^{-6}}{0.255^2}\\\\E_+= 5.3919 X10^5\frac{N}{C}

The electric field due to negative charge; -q = −2.40μC

E_- = \frac{kq}{r^2}\\\\E_- = \frac{8.99 X10^9*2.4X0^{-6}}{0.255^2}\\\\E_-= 3.3181 X10^5\frac{N}{C}

From superimposition theorem

The magnitude of the electric field is;

E = E₊ + E₋

E = (5.3919 × 10⁵ + 3.3181 × 10⁵) N/C

E = 8.71 × 10⁵ N/C

Therefore, the magnitude E of the electric field midway between the spheres is 8.71 × 10⁵ N/C

Part (b)

The direction of the electric field is towards the negative charge.

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With what initial velocity must an object be thrown upward from a height of 2 meters to reach a maximum hieght of 200 meters
larisa86 [58]
The equations of motion to use for a constant acceleration a = g = -9.81:
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at the highest point the velocity must be zero:
0 = gt + v_0 \\ v_0 = -gt
combine both equations:
y =  \frac{1}{2}  \frac{v_0^{2} }{g}  -   \frac{v_0^{2} }{g}  + y_0=  -\frac{1}{2}  \frac{v_0^{2} }{g} + y_0
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A fox runs for 12 seconds at a speed of 9.65 m/s. How much distance does it cover? Exact answer, do NOT round.
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Answer:

115.8

Explanation:

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