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Verizon [17]
3 years ago
11

The 45-g arrow is launched so that it hits and embeds in a 1.40 kg block. The block hangs from strings. After the arrow joins th

e block, they swing up so that they are 0.40 m higher than the block's starting point.
Physics
1 answer:
worty [1.4K]3 years ago
6 0

Question: How fast was the arrow moving before it joined the block?

Answer:

The arrow was moving at 15.9 m/s.

Explanation:

The law of conservation of energy says that the kinetic energy of the arrow must be converted into the potential energy of the block and arrow after it they join:

\dfrac{1}{2}m_av^2 = (m_b+m_a)\Delta Hg

where m_a is the mass of the arrow, m_b is the mass of the block, \Delta H of the change in height of the block after the collision, and v is the velocity of the arrow before it hit the block.

Solving for the velocity v, we get:

$v = \sqrt{\frac{2(m_b+m_a)\Delta Hg}{m_a} } $

and we put in the numerical values

m_a = 0.045kg,

m_b = 1.40kg,

\Delta H = 0.4m,

g= 9.8m/s^2

and simplify to get:

\boxed{ v= 15.9m/s}

The arrow was moving at 15.9 m/s

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How much work would a child do while puling a 12-kg wagon a distance of 3m with a 22 N force directed 30 degrees with respect to
Alika [10]

Answer:

The work done will be 57.15 J

Explanation:

Given that,

Mass = 12 kg

Distance = 3 m

Force = 22 N

Angle = 30°

We need to calculate the work done  

The work done is defined as,

W = Fd\cos\theta

Where, F = force

d = displacement

Put the value into the formula

W=22\times3\times\cos30^{\circ}

W=22\times3\times\dfrac{\sqrt{3}}{2}

W = 57.15\ J

Hence, The work done will be 57.15 J

6 0
3 years ago
A coil of wire consists of 20 turns, each of which has an area of 0.0015 m2. A magnetic field is perpendicular to the surface wi
stepan [7]

Answer:

magnitude of the induced emf in the coil is 0.0153 V

Explanation:

Given data

no of turns = 20

area = 0.0015 m²

magnitude  B1 = 4.91 T/s

magnitude  B2 = 5.42 T/s

to find out

the magnitude of the induced emf in the coil

solution

we know here

emf = -n A d∅ /dt

so here n = 20 and

A = 0.0015

and d∅ = B2 - B1 = 5.42 - 4.91

d∅ = 0.51 T and dt  at 1 sec

so  put all value

emf = -n A d∅ /dt

emf = -20 (0.0015) 0.51 / 1

emf = - 0.0153

so magnitude of the induced emf in the coil is 0.0153 V

7 0
3 years ago
A wooden block has a mass of 562 g and a volume of 72 cm3. what is the density
Gnom [1K]

Answer:

7\frac{29}{36}g/cm³

Explanation:

The formula for density is \frac{mass}{volume}. Let's apply the formula to the question:

\frac{562}{72} = 7\frac{29}{36}g/cm³

7 0
3 years ago
How is the acceleration of a car traveling on an elevated air track related to the angle of elevation and the height of elevatio
vitfil [10]

on a given inclined we know that net force is given by

F_{net} = - mgsin\theta

here we know that

F_{net} = ma

so here we have

ma = - mg sin\theta

a = - gsin\theta

so here acceleration depends directly on angle of inclination

now we also know that if height of the inclined is H and its length is L

then we can write

sin\theta = \frac{H}{L}

so the acceleration is given as

a = - g*\frac{H}{L}

so acceleration also depends directly on height of the inclined plane

4 0
3 years ago
A sound wave can be considered as a displacement wave or a pressure wave? What phase difference exists between the displacement
netineya [11]
Where the displacement is a maximum the pressure is a minimum.
Where the displacement is zero, the pressure is a maximum.
3 0
3 years ago
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