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iVinArrow [24]
3 years ago
5

A soccer player kicks a soccer ball with a force of 1.8 N. If the mass of the ball is .43 kg. How fast will the ball accelerate?

Physics
1 answer:
Anna007 [38]3 years ago
7 0

Answer:

4.186 m/s^{2}

Explanation:

Since Force, F= ma where m is the mass of the body and a is the acceleration of the object. Making acceleration the subject of the formula we obtain that

a=\frac {F}{m}

Substituting 1.8 N for F and 0.43 kg for m then we obtain that

a=\frac {1.8}{0.43}=4.186046512 m/s^{2}\approx 4.186 m/s^{2}

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How much energy is stored in a 2.80-cm-diameter, 14.0-cm-long solenoid that has 200 turns of wire and carries a current of 0.800
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Answer:

The energy stored in the solenoid is 7.078 x 10⁻⁵ J

Explanation:

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diameter of the solenoid, d = 2.80 cm

radius of the solenoid, r = d/2 = 1.4 cm

length of the solenoid, L = 14 cm = 0.14 m

number of turns, N = 200 turns

current in the solenoid, I = 0.8 A

The cross sectional area of the solenoid is given as;

A = \pi r^2\\\\A = \pi (0.014)^2\\\\A = 6.16*10^{-4} \ m^2

The inductance of the solenoid is given by;

L = \frac{\mu_0 N^2A}{l} \\\\L =  \frac{(4\pi*10^{-7})(200^2)(6.16*10^{-4})}{0.14}\\\\L = 2.212*10^{-4} \ H

The energy stored in the solenoid is given by;

E = ¹/₂LI²

E = ¹/₂(2.212 x 10⁻⁴)(0.8)²

E = 7.078 x 10⁻⁵ J

Therefore, the energy stored in the solenoid is 7.078 x 10⁻⁵ J

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