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3 years ago

Choose the letter of the best description of the nature of light:

Physics

1 answer:

Andreas93 [3]3 years ago

6 0

C. Light sometimes behaves like waves and at other times like particles.

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A bullet of mass M1 is fired towards a block of mass m2 initially at rest at the edge of a frictionless table of height h as in

pantera1 [17]

The ratio of time of flight for inelastic collision to elastic collision is 1:2

The given parameters;

mass of the bullet, = m₁
mass of the block, = m₂
initial velocity of the bullet, = u₁
initial velocity of the block, = u₂

Considering inelastic collision, the final velocity of the system is calculated as;

$m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\m_1u_1 + 0 = v(m_1 + m_2)\\\\v= \frac{m_1u_1}{m_1 + m_2} \ -- (1)\\\\$

The time of motion of the system form top of the table is calculated as;

$v = u + gt\\\\v = 0 + gt\\\\v = gt\\\\t= \frac{v}{g} \\\\t_A = \frac{m_1u_1}{g(m_1 + m_2)} \ \ ---(2)$

Considering elastic collision, the final velocity of the system is calculated as;

$m_1u_1 + m_2 u_2 = m_1v_1 + m_2v_2\\\\m_1u_1 + 0 = m_1v_1 + m_2v_2\\\\m_1 u_1 = m_1v_1 + m_2v_2$

Apply one-directional velocity

$u_1 + (-v_1) = u_2 + v_2\\\\u_1 -v_1 = 0 + v_2\\\\v_1 = v_2 -u_1$

Substitute the value of $v_1$ into the above equation;

$m_1u_1 = m_1(v_2 - u_1) + m_2 v_2\\\\m_1u_1 = m_1v_2 -m_1u_1 + m_2v_2\\\\2m_1u_1 = m_1v_2 + m_2v_2\\\\2m_1u_1= v_2(m_1 + m_2)\\\\v_2 = \frac{2m_1u_1}{m_1+ m_2} \ --(3)$

where;

$v_2$ is the final velocity of the block after collision

Since the bullet bounces off, we assume that only the block fell to the ground from the table.

The time of motion of the block is calculated as follows;

$v_2 = v_0 + gt\\\\v_2 = 0 + gt\\\\t = \frac{v_2}{g} \\\\t_B = \frac{v_2}{g} \\\\ t_B = \frac{2m_1u_1}{g(m_1 + m_2)} \ \ ---(4)$

The ratio of time of flight for inelastic collision to elastic collision is calculated as follows;

$\frac{t_A}{t_B} = \frac{m_1u_1}{g(m_1 + m_2)} \times \frac{g(m_1 + m_2)}{2m_1u_1} \\\\\frac{t_A}{t_B} = \frac{1}{2} \\\\t_A:t_B = 1: 2$

Learn more about elastic and inelastic collision here: brainly.com/question/7694106

4 0

2 years ago

WILL MARK BRAINLIEST

VladimirAG [237]

Answer:

no 2 A graph with the x axis labelled X and Y axis labelled Y

6 0

3 years ago

A dart gun suspended by strings hangs in equilibrium. The mass of the gun is 355 grams, not including a dart. The gun fires a 57

gogolik [260]

Answer:

dart's speed is 11.77 m/s

Explanation:

given data

mass of the gun m = 355 gram = 0.355 kg

height = 18.3 centimeters = 0.183 m

dart = 57.0 gram = 0.057 kg

to find out

dart's speed

solution

we apply here law of conservation of energy that is express as

mgh = 0.5 × m × v² ...........1

so speed of gun will be here as

V = $\sqrt{2gh}$ ..................2

V = $\sqrt{2*9.8*0.183}$

V = 1.89 m/s

and

now we find speed of dart by use law of conservation of momentum that is

M×V = m×v ...............3

so speed of the dart is

v = $\frac{M*V}{m}$

v = $\frac{0.355*1.89}{0.057}$

v = 11.77 m/s

so dart's speed is 11.77 m/s

5 0

3 years ago

A student sees a newspaper ad for an apartment that has 2330 square feet (ft2) of floor space. How many square meters of area ar

Evgen [1.6K]

216.4641 m^2........................

3 0

3 years ago

I want to answer these questions about vectors

stellarik [79]

Answer:

the first one answer is no

4 0

3 years ago