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3 years ago

6

At the circus, a 100-kilogram clown is fired 15 meters per second from a 500-kilogram cannon. What is the recoil speed of the ca

nnon?

1 answer:

Ahat [919]3 years ago

4 0

Recoil speed= 3m/s, method shown in photo

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The electric field 14.0 cm from the surface of a copper ball of radius 2.0 cm is directed toward the ball's center and has magni

Marina CMI [18]

Answer:

Q = - 256 X 10⁻⁷ C .

Explanation:

Electric field due to a charge Q at a distance d from the center is given by the expression

E = k Q /d² Where k is a constant and it is equal to 9 x 10⁹

Put the given value in the equation

9 x 10² = $\frac{9\times10^9\times Q}{(14+2)^2\times10^{-4}}$

Q = $\frac{9\times16^2\times10^{-2}}{9\times10^9}$

Q = - 256 X 10⁻⁷ C .

It will be negative in nature as the field is directed towards the center.

5 0

3 years ago

A type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like a cherub in a chair. What f

Reil [10]

Answer:0.906 N/m

Explanation:

Given

time period $T=0.66 s$

mass $m=0.01 kg$

System can be considered as spring mass system

Time Period of spring mass system is given by

$T=2\pi \sqrt{\frac{m}{k}}$

squaring

$k=\frac{4\pi ^2m}{T^2}$

$k=\frac{4\times \pi ^2\times 0.01}{0.66^2}$

$k=0.906 N/m$

4 0

4 years ago

Which is a compound machine?<br><br> a broom<br> a screwdriver<br> a slide<br> a pair of scissors

8090 [49]

A pair of scissors .....................................

4 0

3 years ago

A 75 gram ball is fired into a 200 gram pendulum and the center of gravity of the pendulum-ball rises to a height of 2.5 cm. The

pantera1 [17]

Answer:

The initial velocity of the ball is 2.567 m/s

Solution:

Mass of the ball, m = 75 gm = 0.075 kg

Mass of the pendulum, m' = 200 gm = 0.2 kg

Height of rise of the ball, h = 2.5 cm = 0.025 m

Length, l = 30 cm = 0.3 m

Now,

Total mass, M = m + m' = 0.075 + 0.2 = 0.275 kg

Now,

Suppose the initial velocity of the ball be $v_{i}$

The total mass is raised to a height of 0.025 m after the ball has been fired, thus the total potential energy of the system is given by:

$PE = Mgh = 0.275\times 9.8\times 0.025 = 0.0674\ J$

Now, the initial kinetic energy of the system:

$KE = \frac{1}{2}Mv^{2}$

Now, using law of conservation of energy:

PE = KE

$\frac{1}{2}Mv^{2} = 0.0674$

$v = \sqrt{\frac{0.13475}{0.275}} = 0.7\ m/s$

Now by using the principle of momentum conservation:

$mv_{i} = Mv$

$v_{i} = \frac{Mv}{m}$

$v_{i} = \frac{0.275\times 0.7}{0.075} = 2.567\ m/s$

5 0

3 years ago

Air will break down (lose its insulating quality) and sparking will result if the field strength is increased to about 3 × 106 N

CaHeK987 [17]

Answer:

Explanation:

Given

Electric Field Strength $E=3\times 10^6\ N/C$

When a charged particle enters the Electric field it Experience a force in the direction of electric field (for positive charge and vice-versa for negative charge)

charge on Electron $q=1.6\times 10^{-19}\ C$

mass of electron $m=9.1\times 10^{-31}\ kg$

Force $F=q\times E$

$F=1.6\times 10^{-19}\times 3\times 10^6$

$F=4.8\times 10^{-13}\ N$

acceleration of electron $a=\frac{F}{m}$

$a=\frac{4.8\times 10^{-13}}{9.1\times 10^{-31}}$

$a=0.527\times 10^{18}\ m/s^2$

6 0

3 years ago